DOI: 10.1016/j.physrep.2006.09.003. Dynamics of Loschmidt echoes and fidelity decay

Dynamics of Loschmidt echoes and fidelity decay

10.1016/j.physrep.2006.09.003

Crossref journal-article

Elsevier BV

Physics Reports (78)

Bibliography

Gorin, T., Prosen, T., Seligman, T. H., & Å½nidariÄ, M. (2006). Dynamics of Loschmidt echoes and fidelity decay. Physics Reports, 435(2â5), 33â156.

Authors 4

Thomas Gorin (first)
Tomaž Prosen (additional)
Thomas H. Seligman (additional)
Marko Žnidarič (additional)

References 295 Referenced 539

{'key': '10.1016/j.physrep.2006.09.003_bib1', 'first-page': '275', 'article-title': 'Weitere Studien über das Wärmegleichgewicht unter Gasmolekülen', 'volume': '66', 'author': 'Boltzmann', 'year': '1872', 'journal-title': 'Sitzungsberichte der Akademie der Wissenschaften, Wien II'} / Sitzungsberichte der Akademie der Wissenschaften, Wien II / Weitere Studien über das Wärmegleichgewicht unter Gasmolekülen by Boltzmann (1872)
S. Brush, Kinetic Theory, vol. 2, Irreversible Processes, Pergamon Press, Oxford, 1966. (10.1119/1.1973673)
{'key': '10.1016/j.physrep.2006.09.003_bib3', 'first-page': '128', 'article-title': 'Über den Zustand des Wärmegleichgewichtes eines Systems von Körpern mit Rucksicht auf die Schwerkraft', 'volume': '73', 'author': 'Loschmidt', 'year': '1876', 'journal-title': 'Sitzungsberichte der Akademie der Wissenschaften, Wien II'} / Sitzungsberichte der Akademie der Wissenschaften, Wien II / Über den Zustand des Wärmegleichgewichtes eines Systems von Körpern mit Rucksicht auf die Schwerkraft by Loschmidt (1876)
{'key': '10.1016/j.physrep.2006.09.003_bib4', 'first-page': '67', 'article-title': 'Über die Beziehung eines allgemeine mechanischen Satzes zum zweiten Hauptsatze der Warmetheorie', 'volume': '75', 'author': 'Boltzmann', 'year': '1877', 'journal-title': 'Sitzungsberichte der Akademie der Wissenschaften, Wien II'} / Sitzungsberichte der Akademie der Wissenschaften, Wien II / Über die Beziehung eines allgemeine mechanischen Satzes zum zweiten Hauptsatze der Warmetheorie by Boltzmann (1877)
{'key': '10.1016/j.physrep.2006.09.003_bib5', 'series-title': 'Ludwig Boltzmann: The Man Who Trusted Atoms', 'author': 'Cercignani', 'year': '1998'} / Ludwig Boltzmann: The Man Who Trusted Atoms by Cercignani (1998)
{'key': '10.1016/j.physrep.2006.09.003_bib6', 'first-page': '325', 'article-title': 'The kinetic theory of the dissipation of energy', 'volume': 'vol. 8', 'author': 'Thompson', 'year': '1874'} / The kinetic theory of the dissipation of energy by Thompson (1874)
10.1103/PhysRevLett.86.2490 / Phys. Rev. Lett. / Environment-independent decoherence rate in classically chaotic systems by Jalabert (2001)
10.1103/PhysRev.80.580 / Phys. Rev. / Spin echoes by Hahn (1950)
10.1103/PhysRevLett.25.218 / Phys. Rev. Lett. / Violation of the spin-temperature hypothesis by Rhim (1970)
10.1103/PhysRevLett.69.2149 / Phys. Rev. Lett. / Polarization echoes in NMR by Zhang (1992)
10.1063/1.475664 / J. Chem. Phys. / Attenuation of polarization echoes in nuclear magnetic resonance: a study of the emergence of dynamical irreversibility in many-body quantum systems by Levstein (1998)
A. Grêt, R. Snieder, Monitoring rapid temporal change in a volcano with coda wave interferometry, Geophys. Res. Lett. 32 (2005) L06304:1–4. (10.1029/2004GL021143)
{'key': '10.1016/j.physrep.2006.09.003_bib13', 'series-title': 'Quantum Computation and Quantum Information', 'author': 'Nielsen', 'year': '2001'} / Quantum Computation and Quantum Information by Nielsen (2001)
10.1103/PhysRevLett.82.2417 / Phys. Rev. Lett. / Dynamical decoupling of open quantum systems by Viola (1999)
10.1103/PhysRevLett.94.060502 / Phys. Rev. Lett. / Random decoupling schemes for quantum dynamical control and error suppression by Viola (2005)
10.1088/1367-2630/5/1/109 / New J. Phys. / Quantum freeze of fidelity decay for a class of integrable dynamics by Prosen (2003)
10.1103/PhysRevLett.94.044101 / Phys. Rev. Lett. / Quantum freeze of fidelity decay for chaotic dynamics by Prosen (2005)
10.1103/PhysRevLett.96.244105 / Phys. Rev. Lett. / Anomalous slow fidelity decay for symmetry breaking perturbations by Gorin (2006)
{'key': '10.1016/j.physrep.2006.09.003_bib19', 'series-title': 'Quantum Signatures of Chaos', 'author': 'Haake', 'year': '1991'} / Quantum Signatures of Chaos by Haake (1991)
{'key': '10.1016/j.physrep.2006.09.003_bib20', 'series-title': 'Quantum Chaos: An Introduction', 'author': 'Stöckmann', 'year': '1999'} / Quantum Chaos: An Introduction by Stöckmann (1999)
10.1016/0167-2789(83)90318-4 / Physica D / Some statistical properties of simple classically stochastic quantum systems by Shepelyansky (1983)
10.1103/PhysRevLett.56.2437 / Phys. Rev. Lett. / Dynamical stability of quantum “chaotic” motion in a hydrogen atom by Casati (1986)
10.1103/PhysRevLett.49.509 / Phys. Rev. Lett. / Chaos, quantum recurrences, and Anderson localization by Fishman (1982)
10.1103/PhysRevA.29.1639 / Phys. Rev. A / Quantum dynamics of a nonintegrable system by Grempel (1984)
10.1103/PhysRevLett.71.529 / Phys. Rev. Lett. / Quantum signatures of classical chaos: sensitivity of wave functions to perturbations by Benet (1993)
10.1006/aphy.2000.6052 / Ann. Phys. (NY) / Chaos and energy spreading for time-dependent hamiltonians, and the various regimes in the theory of quantum dissipation by Cohen (2000)
{'key': '10.1016/j.physrep.2006.09.003_bib27', 'series-title': 'Chaos and Quantum Physics, Proceedings of the Les Houches Summer School, Session LII 1989', 'article-title': 'Wave packet dynamics and quantum chaology', 'author': 'Heller', 'year': '1991'} / Chaos and Quantum Physics, Proceedings of the Les Houches Summer School, Session LII 1989 / Wave packet dynamics and quantum chaology by Heller (1991)
10.1103/PhysRevLett.84.2052 / Phys. Rev. Lett. / Wave packet dynamics in energy space, random matrix theory, and the quantum-classical correspondence by Cohen (2000)
10.1088/1367-2630/4/1/390 / New J. Phys. / Quantization ambiguity, ergodicity and semiclassics by Kaplan (2002)
10.1103/PhysRevA.30.1610 / Phys. Rev. A / Stability of quantum motion in chaotic and regular systems by Peres (1984)
{'key': '10.1016/j.physrep.2006.09.003_bib31', 'series-title': 'Quantum Theory: Concepts and Methods', 'author': 'Peres', 'year': '1995'} / Quantum Theory: Concepts and Methods by Peres (1995)
10.1103/PhysRevA.54.3813 / Phys. Rev. A / Classical state sensitivity from quantum mechanics by Ballentine (1996)
10.1103/PhysRevLett.79.4790 / Phys. Rev. Lett. / Quantum chaos in an ion trap: the delta-kicked harmonic oscillator by Gardiner (1997)
10.1103/PhysRevLett.80.2968 / Phys. Rev. Lett. / Erratum: quantum chaos in an ion trap: the delta-kicked harmonic oscillator by Gardiner (1998)
10.1103/PhysRevLett.69.3413 / Phys. Rev. Lett. / Information and entropy in the baker's map by Schack (1992)
10.1103/PhysRevLett.71.525 / Phys. Rev. Lett. / Hypersensitivity to perturbations in the quantum baker's map by Schack (1993)
10.1103/PhysRevE.53.3257 / Phys. Rev. E / Information-theoretic characterization of quantum chaos by Schack (1996)
10.1103/PhysRevLett.75.4310 / Phys. Rev. Lett. / Quantum dynamical echoes in the spin diffusion in mesoscopic systems by Pastawski (1995)
10.1080/00268979809483253 / Mol. Phys. / Gaussian to exponential crossover in the attenuation of polarization echoes in NMR by Usaj (1998)
10.1016/S0378-4371(00)00146-1 / Physica A / A nuclear magnetic resonance answer to the Boltzmann–Loschmidt controversy? by Pastawski (2000)
10.1103/PhysRevE.65.045206 / Phys. Rev. E / Decoherence as decay of the Loschmidt echo in a Lorentz gas by Cucchietti (2002)
10.1103/PhysRevE.65.036208 / Phys. Rev. E / General relation between quantum ergodicity and fidelity of quantum dynamics by Prosen (2002)
10.1088/0305-4470/34/47/103 / J. Phys. A / Can quantum chaos enhance the stability of quantum computation? by Prosen (2001)
10.1103/PhysRevE.64.055203 / Phys. Rev. E / Golden rule decay versus Lyapunov decay of the quantum Loschmidt echo by Jacquod (2001)
10.1103/PhysRevLett.88.054103 / Phys. Rev. Lett. / Sensitivity of wave field evolution and manifold stability in chaotic systems by Cerruti (2002)
10.1088/0305-4470/35/6/309 / J. Phys. A / Stability of quantum motion and correlation decay by Prosen (2002)
10.1103/PhysRevLett.89.170405 / Phys. Rev. Lett. / Quantum chaotic environments, the butterfly effect, and decoherence by Karkuszewski (2002)
T. Gorin, T. Prosen, T.H. Seligman, W.T. Strunz, Connection between decoherence and fidelity decay in echo dynamics, Phys. Rev. A 70 (2004) 042105:1–5.
10.1088/0305-4470/35/22/304 / J. Phys. A / Decoherence of spin echoes by Prosen (2002)
10.1088/0305-4470/36/10/307 / J. Phys. A / Fidelity and purity decay in weakly coupled composite systems by Žnidarič (2003)
10.1103/PhysRevA.67.062108 / Phys. Rev. A / Estimation of purity in terms of correlation functions by Prosen (2003)
T. Gorin, T. Prosen, T.H. Seligman, A random matrix formulation of fidelity decay, New J. Phys. 6 (2004) 20:1–29.
10.1088/0305-4470/36/12/334 / J. Phys. A / A uniform approximation for the fidelity in chaotic systems by Cerruti (2003)
10.1088/0305-4470/36/47/c01 / J. Phys. A / Corrigendum: a uniform approximation for the fidelity in chaotic systems by Cerruti (2003)
H.-J. Stöckmann, R. Schäfer, Fidelity recovery in chaotic systems and the Debye–Waller factor, Phys. Rev. Lett. 94 (2005) 244101:1–4.
H.-J. Stockmann, R. Schäfer, Recovery of the fidelity amplitude for the gaussian ensembles, New J. Phys. 6 (2004) 199:1–18.
10.1103/PhysRevE.70.055201 / Phys. Rev. E / Dephasing representation: employing the shadowing theorem to calculate quantum correlation functions by Vaníček (2004)
10.1103/PhysRevE.73.046204 / Phys. Rev. E / Dephasing representation of quantum fidelity for general pure and mixed states by Vaníček (2006)
10.1103/PhysRevE.65.066205 / Phys. Rev. E / Quantum-classical correspondence in perturbed chaotic systems by Benenti (2002)
10.1088/0305-4470/36/2/306 / J. Phys. A / Echoes in classical dynamical systems by Eckhardt (2003)
10.1103/PhysRevE.67.055202 / Phys. Rev. E / Stability of classical chaotic motion under a system's perturbations by Benenti (2003)
10.1103/PhysRevLett.92.034101 / Phys. Rev. Lett. / Faster than Lyapunov decays of the classical Loschmidt echo by Veble (2004)
10.1103/PhysRevE.68.036212 / Phys. Rev. E / Decay of the classical Loschmidt echo in integrable systems by Benenti (2003)
10.1209/epl/i2005-10187-x / Europhys. Lett. / Chaotic dynamics in superconducting nanocircuits by Montangero (2005)
V. Sokolov, G. Benenti, G. Casati, Quantum dephasing and decay of classical correlation functions in chaotic systems, preprint quant-ph/0504141, 2005.
10.1063/1.523304 / J. Math. Phys. / The Zeno's paradox in quantum theory by Misra (1977)
10.1119/1.12204 / Am. J. Phys. / Zeno paradox in quantum theory by Peres (1980)
O.I. Lobkis, R.L. Weaver, Coda-wave interferometry in finite solids: recovery of p-to-s conversion rates in an elastodynamic billiard, Phys. Rev. Lett. 90 (2003) 254302:1–4.
R. Schäfer, T. Gorin, H.-J. Stöckmann, T.H. Seligman, Fidelity amplitude of the scattering matrix in microwave cavities, New J. Phys. 7 (2005) 152:1–14.
R. Schäfer, H.-J. Stöckmann, T. Gorin, T.H. Seligman, Experimental verification of fidelity decay: from perturbative to Fermi golden rule regime, Phys. Rev. Lett. 95 (2005) 184102:1–4.
10.1002/cpa.3160070404 / Commun. Pure Appl. Math. by Magnus (1954)
10.1143/PTPS.150.200 / Prog. Theor. Phys. Suppl. / Theory of quantum Loschmidt echoes by Prosen (2003)
10.1103/PhysRevE.67.025204 / Phys. Rev. E / Hypersensitivity to perturbations of quantum-chaotic wave-packet dynamics by Silvestrov (2003)
10.1103/PhysRevE.66.056208 / Phys. Rev. E / Crossover of quantum Loschmidt echo from golden-rule decay to perturbation-independent decay by Wang (2002)
10.1103/PhysRevE.71.036223 / Phys. Rev. E / Mesoscopic fluctuations of the loschmidt echo by Petitjean (2005)
{'key': '10.1016/j.physrep.2006.09.003_bib76', 'first-page': '245', 'article-title': 'The uncertainty relation between energy and time in nonrelativistic quantum mechanics', 'volume': '9', 'author': 'Mandelstam', 'year': '1945', 'journal-title': 'J. Phys. (USSR)'} / J. Phys. (USSR) / The uncertainty relation between energy and time in nonrelativistic quantum mechanics by Mandelstam (1945)
10.1007/BF02819419 / Nuovo Cimento A / A unitary bound on the evolution of nonstationary states by Fleming (1973)
10.1119/1.17368 / Am. J. Phys. / The rate of evolution of a quantum state by Uffink (1993)
10.1103/PhysRevE.58.2983 / Phys. Rev. E / Multiplicative semiclassical dynamics and the quantization time by Kaplan (1998)
10.1103/PhysRevE.70.026223 / Phys. Rev. E / Semiclassical accuracy in phase space for regular and chaotic dynamics by Kaplan (2003)
10.1103/PhysRevE.72.036214 / Phys. Rev. E / Brownian motion model of quantization ambiguity and universality in chaotic systems by Kaplan (2005)
10.1088/0951-7715/5/4/001 / Nonlinearity / Semiclassical quantization of multidimensional systems by Bogomolny (1992)
10.1103/PhysRevE.73.015202 / Phys. Rev. E / Scattering fidelity in elastodynamics by Gorin (2006)
{'key': '10.1016/j.physrep.2006.09.003_bib84', 'series-title': 'The Quantum Theory of Nonrelativistiv Collisions', 'author': 'Taylor', 'year': '1972'} / The Quantum Theory of Nonrelativistiv Collisions by Taylor (1972)
{'key': '10.1016/j.physrep.2006.09.003_bib85', 'series-title': 'Shell-Model Approach to Nuclear Reactions', 'author': 'Mahaux', 'year': '1969'} / Shell-Model Approach to Nuclear Reactions by Mahaux (1969)
10.1016/S0370-1573(97)00088-4 / Phys. Rep. / Random-matrix theories in quantum physics: common concepts by Guhr (1998)
10.1088/0305-4470/36/12/325 / J. Phys. A: Math. Gen. / Correlation functions of scattering matrix elements in microwave cavities with strong absorption by Schäfer (2003)
10.1103/PhysRevC.8.859 / Phys. Rev. C / Hauser–Feshbach theory and Ericson fluctuations in the presence of direct reactions by Engelbrecht (1973)
10.1016/0034-4877(76)90060-4 / Rep. Math. Phys. / The “transition probability” in the state space of a*-algebra by Uhlmann (1976)
10.1080/09500349414552171 / J. Mod. Opt. / Fidelity for mixed quantum states by Jozsa (1994)
10.1063/1.881293 / Phys. Today / Decoherence and the transition from quantum to classical by Zurek (1991)
10.1007/BF01646092 / Commun. Math. Phys. / Entropy inequalities by Araki (1970)
10.1016/0003-4916(73)90040-7 / Ann. Phys. (NY) / Dynamics of quantum correlations by Kübler (1973)
10.1103/PhysRevLett.77.207 / Phys. Rev. Lett. / Perturbative expansion for coherence loss by Kim (1996)
10.1016/0378-4371(78)90190-5 / Physica A / Condition of stochasticity in quantum nonlinear systems by Berman (1978)
{'key': '10.1016/j.physrep.2006.09.003_bib96', 'series-title': 'Ergodic Problems of Classical Mechanics', 'author': 'Arnold', 'year': '1968'} / Ergodic Problems of Classical Mechanics by Arnold (1968)
10.1103/PhysRevA.34.591 / Phys. Rev. A / Distribution of matrix elements of chaotic systems by Feingold (1986)
10.1088/0305-4470/20/9/028 / J. Phys. A / A semiclassical sum-rule for matrix elements of classically chaotic systems by Wilkinson (1987)
10.1103/PhysRevA.39.6507 / Phys. Rev. A / Semiclassical structure of hamiltonians by Feingold (1989)
10.1088/0305-4470/26/6/005 / J. Phys. A / Distribution and fluctuation properties of transition probabilities in a system between integrability and chaos by Prosen (1993)
10.1006/aphy.1994.1093 / Ann. Phys. / Statistical properties of matrix elements in a Hamilton system between integrability and chaos by Prosen (1994)
D.V. Bevilaqua, E.J. Heller, Fidelity decay for phase space displacements, preprint nlin.CD/0409007, 2004.
10.1103/PhysRevE.66.045201 / Phys. Rev. E / Saturation of the production of quantum entanglement between weakly coupled mapping systems in a strongly chaotic region by Tanaka (2002)
10.1103/PhysRevE.67.066201 / Phys. Rev. E / Dynamical aspects of quantum entanglement for weakly coupled kicked tops by Fujisaki (2003)
10.1103/PhysRevE.69.025201 / Phys. Rev. E / Stability of quantum motion: beyond Fermi-golden-rule and Lyapunov decay by Wang (2004)
10.1088/0305-4470/36/36/308 / J. Phys. A / Entangling power of the quantum baker's map by Scott (2003)
10.1103/PhysRevA.70.062315 / Phys. Rev. A / Entanglement dynamics in chaotic systems by Ghose (2004)
10.1103/PhysRevLett.89.060402 / Phys. Rev. Lett. / Testing statistical bounds on entanglement using quantum chaos by Bandyopadhyay (2002)
10.1103/PhysRevE.69.016201 / Phys. Rev. E / Entanglement production in coupled chaotic systems: case of the kicked tops by Bandyopadhyay (2004)
10.1103/PhysRevA.73.012305 / Phys. Rev. A / Evolution of pairwise entanglement in a coupled n-body system by Pineda (2006)
C. Pineda, T.H. Seligman, A Bell pair in a generic random matrix environment, preprint quant-ph/0605169, 2006. (10.1103/PhysRevA.75.012106)
T. Gorin, S. Mossmann, C. Pineda, T. H. Seligman, 2006, in preparation.
F. Izrailev, A. Castañeda-Mendoza, Entropy production and fidelity for quantum many-body systems with noise, vol. 5472 of Proc. of SPIE: The International Society for Optical Engineering, 2004, pp. 252–265, also preprint quant-ph/0403097.
10.1103/PhysRevE.70.016217 / Phys. Rev. E / Entanglement as a signature of quantum chaos by Wang (2004)
10.1103/PhysRevLett.91.210403 / Phys. Rev. Lett. / Decoherence and the Loschmidt echo by Cucchietti (2003)
10.1103/PhysRevB.70.035311 / Phys. Rev. B / Universality of the Lyapunov regime for the Loschmidt echo by Cucchietti (2004)
10.1103/PhysRevE.67.056217 / Phys. Rev. E / Loschmidt echo and Lyapunov exponent in a quantum disordered system by Adamov (2003)
10.1103/PhysRevE.65.046209 / Phys. Rev. E / Measuring the Lyapunov exponent using quantum mechanics by Cucchietti (2002)
10.1103/PhysRevE.65.055206 / Phys. Rev. E / Sensitivity to perturbations in a quantum chaotic billiard by Wisniacki (2002)
10.1103/PhysRevE.67.016205 / Phys. Rev. E / Short time decay of the Loschmidt echo by Wisniacki (2003)
10.1103/PhysRevE.68.056208 / Phys. Rev. E / Semiclassical evaluation of quantum fidelity by Vaníček (2003)
10.1103/PhysRevE.71.037202 / Phys. Rev. E / Uniform semiclassical approach to fidelity decay in the deep Lyapunov regime by Wang (2005)
10.1103/PhysRevE.71.066203 / Phys. Rev. E / Uniform semiclassical approach to fidelity decay: from weak to strong perturbation by Wang (2005)
10.1103/PhysRevLett.92.150403 / Phys. Rev. Lett. / Semiclassical time evolution of the reduced density matrix and dynamically assisted generation of entanglement for bipartite quantum systems by Jacquod (2004)
10.1103/PhysRevLett.70.1187 / Phys. Rev. Lett. / Coherent states via decoherence by Zurek (1993)
10.1103/PhysRevE.70.026206 / Phys. Rev. E / Loschmidt echo for a chaotic oscillator by Iomin (2004)
10.1103/PhysRevE.73.026223 / Phys. Rev. E / Stability of wave packet dynamics under perturbations by Bolte (2006)
M. Combescure, D. Robert, A phase-space study of the quantum Loschmidt Echo in the semiclassical limit, preprint quant-ph/0510151, 2005.
10.1073/pnas.14.2.178 / Proc. Natl. Acad. Sci. by van Vleck (1928)
{'key': '10.1016/j.physrep.2006.09.003_bib130', 'series-title': 'Chaos in Classical and Quantum Mechanics', 'author': 'Gutzwiller', 'year': '1990'} / Chaos in Classical and Quantum Mechanics by Gutzwiller (1990)
P. Cvitanović, R. Artuso, R. Mainieri, G. Tanner, G. Vattay, Chaos: Classical and Quantum, Niels Bohr Institute, Copenhagen, 2005, http://ChaosBook.org.
10.1016/S0370-1573(97)00070-7 / Phys. Rep. / The Weyl representation in classical and quantum mechanics by Ozorio de Almeida (1998)
J. Vaníček, Private communication, 2006.
J. Vaníček, Dephasing representation: unified semiclassical framework for fidelity decay, preprint quant-ph/0410205, 2004.
10.1103/RevModPhys.53.385 / Rev. Mod. Phys. / Random-matrix physics: spectrum and strength fluctuations by Brody (1981)
10.1140/epjd/e2004-00038-x / Eur. Phys. J. D / Quantum chaos and random matrix theory for fidelity decay in quantum computations with static imperfections by Frahm (2004)
10.1103/PhysRevE.73.066212 / Phys. Rev. E / Fidelity freeze for a random matrix model with off-diagonal perturbation by Stöckmann (2006)
10.1007/BF02798790 / Lett. Nuovo Cimento by Casati (1980)
10.1103/PhysRevLett.52.1 / Phys. Rev. Lett. / Characterization of chaotic quantum spectra and universality of level fluctuation laws by Bohigas (1984)
10.1016/0375-9601(92)90516-O / Phys. Lett. A / Structural invariance and the statistics of quasi-energies by Leyvraz (1992)
10.1103/PhysRevB.48.5422 / Phys. Rev. B / Universalities in the spectra of disordered and chaotic systems by Simons (1993)
10.1016/0375-9601(96)00204-6 / Phys. Lett. A / Universal parametric correlations of the eigenphases of the S-matrix by Dietz (1996)
10.1007/BF02940719 / Abh. Math. Sem. Hamburg Univ. / Domaines bornés homogènes de l’espace de n variables complexes by Cartan (1935)
{'key': '10.1016/j.physrep.2006.09.003_bib144', 'series-title': 'Random Matrices and the Statistical Theory of Spectra', 'author': 'Mehta', 'year': '1991'} / Random Matrices and the Statistical Theory of Spectra by Mehta (1991)
M. Hiller, T. Kottos, D. Cohen, T. Geisel, Quantum reversibility: is there an echo?, Phys. Rev. Lett. 92 (2004) 010402:1–4. (10.1103/PhysRevLett.92.010402)
D. Martinez, Private communication, 2005.
J. Tworzyd≪o, A. Tajic, H. Schomerus, C.W.J. Beenakker, Dynamical model for the quantum-to-classical crossover of shot noise, Phys. Rev. B 68 (2003) 115313:1–6.
10.1103/PhysRevA.71.043803 / Phys. Rev. A / Motional stability of the quantum kicked rotor: a fidelity approach by Haug (2005)
10.1016/0370-1573(85)90070-5 / Phys. Rep. / Grassmann integration in stochastic quantum physics: the case of compound-nucleus scattering by Verbaarschot (1985)
10.1103/PhysRevE.73.066120 / Phys. Rev. E / Verification of generic fidelity recovery in a dynamical system by Pineda (2006)
10.1103/PhysRevLett.93.014103 / Phys. Rev. Lett. / Semiclassical foundation of universality in quantum chaos by Müller (2004)
S. Müller, S. Heusler, P. Braun, F. Haake, A. Altland, Periodic-orbit theory of universality in quantum chaos, Phys. Rev. E 72 (2005) 046207:1–10.
10.1103/PhysRevLett.93.194101 / Phys. Rev. Lett. / Universal spectral statistics in quantum graphs by Gnutzmann (2004)
10.1103/PhysRevLett.73.798 / Phys. Rev. Lett. / Exact distribution of eigenvalue curvatures of chaotic quantum systems by Oppen (1994)
10.1103/PhysRevE.51.2647 / Phys. Rev. E / Exact distributions of eigenvalue curvatures for time-reversal-invariant chaotic systems by Oppen (1995)
10.1007/s002570050018 / Z. Phys. B / Universality of “level curvature” distribution for large random matrices: systematic analytical approaches by Fyodorov (1995)
M. Abramowitz, I.A. Stegun (Eds.), Handbook of Mathematical Functions, Dover Publications Inc., New York, 1970.
10.1103/PhysRev.104.483 / Phys. Rev. / Fluctuations of nuclear reaction widths by Porter (1956)
10.1088/0305-4470/32/12/006 / J. Phys. A: Math. Gen. / Correlations in the scattering cross section of regular systems by Gorin (1999)
10.1088/1464-4266/4/4/325 / J. Opt. B: Quantum Semiclass. Opt. / A random matrix approach to decoherence by Gorin (2002)
10.1016/S0375-9601(03)00131-2 / Phys. Lett. A / Decoherence in chaotic and integrable systems: a random matrix approach by Gorin (2003)
10.1103/PhysRevA.67.042112 / Phys. Rev. A / Evolution of entanglement under echo dynamics by Prosen (2003)
10.1103/PhysRevLett.89.284102 / Phys. Rev. Lett. / Fidelity decay as an efficient indicator of quantum chaos by Emerson (2002)
10.1103/PhysRevE.70.056216 / Phys. Rev. E / Classical versus quantum errors in quantum computation of dynamical systems by Rossini (2004)
10.1103/PhysRevE.71.035203 / Phys. Rev. E / Effect of symmetries on quantum fidelity decay by Weinstein (2005)
10.1098/rsta.1977.0145 / Philos. Trans. R. Soc. A / Semi-classical mechanics in phase space: a study of Wigner's function by Berry (1977)
10.1103/PhysRevE.68.036216 / Phys. Rev. E / Recurrence of fidelity in nearly integrable systems by Sankaranarayanan (2003)
10.1103/PhysRevA.64.043801 / Phys. Rev. A / Recoherence in the entanglement dynamics and classical orbits in the N-atom Jaynes-Cummings model by Angelo (2001)
10.1063/1.2178153 / J. Math. Phys. / The quantum fidelity for the time-dependent singular quantum oscillator by Combescure (2006)
M. Žnidarič, Stability of Quantum Dynamics, Ph.D. Thesis, University of Ljubljana, available as quant-ph/0406124, 2004.
10.1103/PhysRevE.71.016209 / Phys. Rev. E / Quantum fidelity decay in quasi-integrable systems by Weinstein (2005)
10.1088/0953-4075/29/8/004 / J. Phys. B / The influence of higher-order anharmonic corrections to the energy spectrum on the evolution of quantum wavepackets by Braun (1996)
10.1103/PhysRevA.54.5299 / Phys. Rev. A / Multilevel quantum beats: an analytical approach by Leichtle (1996)
10.1016/j.physrep.2003.11.002 / Phys. Rep. / Quantum wave packet revivals by Robinett (2004)
10.1088/0953-4075/39/7/L01 / J. Phys. B: At. Mol. Opt. Phys. / Saturation of fidelity in the atom-optics kicked rotor by Wimberger (2006)
10.1209/epl/i2003-00289-y / Europhys. Lett. / Anomalous power law of quantum reversibility for classically regular systems by Jacquod (2003)
10.1103/PhysRevA.71.032103 / Phys. Rev. A / Generation of entanglement in regular systems by Žnidarič (2005)
10.1103/PhysRevD.24.1516 / Phys. Rev. D / Pointer basis of quantum apparatus: into what mixture does the wave packet collapse? by Zurek (1981)
10.1103/PhysRevLett.93.219903 / Phys. Rev. Lett. / Erratum: semiclassical time evolution of the reduced density matrix and dynamically assisted generation of entanglement for bipartite quantum systems [Phys. Rev. Lett. 92, 150403 (2004)] by Jacquod (2004)
10.1007/BF01491891 / Naturwissenschaften / Die gegenwartige situation in der quentenmechanik by Schrödinger (1935)
10.1088/1464-4266/7/9/012 / J. Opt. B Quantum Semiclass. Opt. / Decoherence in regular systems by Žnidarič (2005)
10.1103/PhysRevLett.86.2913 / Phys. Rev. Lett. / Universality of decoherence by Braun (2001)
10.1103/PhysRevA.67.022101 / Phys. Rev. A / Universality of decoherence for macroscopic quantum superpositions by Strunz (2003)
10.1103/PhysRevA.67.022102 / Phys. Rev. A / Decoherence scenarios from microscopic to macroscopic superpositions by Strunz (2003)
10.1103/PhysRevE.70.066216 / Phys. Rev. E / Global entangling properties of the coupled kicked tops by Demkowicz-Dobrzański (2004)
10.1103/PhysRevE.72.026225 / Phys. Rev. E / Decoherence by a chaotic many-spin bath by Lages (2005)
10.1103/RevModPhys.50.221 / Rev. Mod. Phys. / General properties of entropy by Wehrl (1978)
10.1103/PhysRevLett.90.050402 / Phys. Rev. Lett. / When is quantum decoherence dynamics classical? by Gong (2003)
10.1103/PhysRevA.68.022101 / Phys. Rev. A / Intrinsic decoherence dynamics in smooth hamiltonian systems: quantum-classical correspondence by Gong (2003)
10.1103/PhysRevA.68.062103 / Phys. Rev. A / Chaos and quantum-classical correspondence via phase-space distribution functions by Gong (2003)
10.1016/j.physa.2004.03.015 / Physica A / Quantum linear mutual information and classical correlations in globally pure bipartite systems by Angelo (2004)
10.1016/0167-2789(83)90232-4 / Physica D / Long time correlations in the stochastic regime by Karney (1983)
10.1016/0167-2789(84)90140-4 / Physica D / Correlation properties of dynamical chaos in hamiltonian systems by Chirikov (1984)
{'key': '10.1016/j.physrep.2006.09.003_bib194', 'first-page': '3300', 'volume': '76', 'author': 'Ruffo', 'year': '1996', 'journal-title': 'Universal diffusion near the golden chaos border'} / Universal diffusion near the golden chaos border by Ruffo (1996)
10.1103/PhysRevLett.89.214101 / Phys. Rev. Lett. / Border between regular and chaotic quantum dynamics by Weinstein (2002)
10.1103/PhysRevE.72.025202 / Phys. Rev. E / Classical Loschmidt echo in chaotic many-body systems by Veble (2005)
10.1088/0951-7715/19/6/013 / Nonlinearity / Quantum classical correspondence on compact phase space by Horvat (2006)
{'key': '10.1016/j.physrep.2006.09.003_bib198', 'first-page': '197', 'volume': '19', 'author': 'Oseledec', 'year': '1968', 'journal-title': 'Trans. Mosc. Math. Soc.'} / Trans. Mosc. Math. Soc. by Oseledec (1968)
10.1103/PhysRevLett.83.4729 / Phys. Rev. Lett. / Mixing property of triangular billiards by Casati (1999)
10.1103/PhysRevLett.85.4261 / Phys. Rev. Lett. / Triangle map: a model of quantum chaos by Casati (2000)
10.1103/PhysRevLett.94.114101 / Phys. Rev. Lett. / Universal decay of the classical Loschmidt echo of neutrally stable but mixing dynamics by Casati (2005)
10.1103/PhysRevLett.82.4951 / Phys. Rev. Lett. / Quantum dissipation due to the interaction with chaotic degrees of freedom and the correspondence principle by Cohen (1999)
10.1103/PhysRevLett.85.4839 / Phys. Rev. Lett. / Quantum-mechanical nonperturbative response of driven chaotic mesoscopic systems by Cohen (2000)
{'key': '10.1016/j.physrep.2006.09.003_bib204', 'first-page': '046209', 'article-title': 'Quantum irreversibility', 'volume': '66', 'author': 'Wisniacki', 'year': '2002', 'journal-title': 'and the parametric theory of the local density of states, Phys. Rev. E'} / and the parametric theory of the local density of states, Phys. Rev. E / Quantum irreversibility by Wisniacki (2002)
W. Wang, G. Casati, private communication, preprint, 2006.
10.1103/PhysRevLett.77.838 / Phys. Rev. Lett. / Quantum chaos in terms of entropy for a periodically kicked top by Alicki (1996)
10.1103/PhysRevE.60.1542 / Phys. Rev. E / Signatures of chaos in the entanglement of two kicked tops by Miller (1999)
{'key': '10.1016/j.physrep.2006.09.003_bib208', 'series-title': 'Quantum Optics in Phase Space', 'author': 'Schleich', 'year': '2001'} / Quantum Optics in Phase Space by Schleich (2001)
10.1103/PhysRevA.24.2889 / and generalized phase-space distributions, Phys. Rev. A / Relation between atomic coherent-state representation by Agarwal (1981)
10.1088/0305-4470/36/14/307 / J. Phys. A / Wigner function statistics in classically chaotic systems by Horvat (2003)
10.1103/PhysRevA.47.3571 / Phys. Rev. A / Universal and nonuniversal statistical properties of levels and intensities for chaotic Rydberg molecules by Lombardi (1993)
10.1109/PROC.1963.1664 / Proc. IEEE / Comparison of quantum and semiclassical radiation theory with application to the beam maser by Jaynes (1963)
10.1103/PhysRev.170.379 / Phys. Rev. / Exact solution for an n-molecule-radiation-field hamiltonian by Tavis (1968)
10.1038/35089017 / Nature / Sub-Planck structure in phase space and its relevance for quantum decoherence by Zurek (2001)
10.1103/PhysRevLett.89.154103 / Phys. Rev. Lett. / Decay of the Loschmidt echo for quantum states with sub-Planck-scale structures by Jacquod (2002)
A. Jordan, M. Srednicki, Sub-Planck structure, decoherence, and many-body environments, preprint quant-ph/0112139, 2001.
10.1103/RevModPhys.68.733 / Rev. Mod. Phys. / Quantum computation and Shor's factoring algorithm by Ekert (1996)
10.1088/0034-4885/61/2/002 / Rep. Prog. Phys. / Quantum computing by Steane (1998)
D.B.A. Ekert, A. Zeilinger, The Physics of Quantum Information, Springer, Berlin, 2000.
10.1103/PhysRevA.54.2605 / Phys. Rev. A / Factoring in a dissipative quantum computer by Miquel (1996)
10.1103/PhysRevLett.78.3971 / Phys. Rev. Lett. / Quantum computation with phase drift errors by Miquel (1997)
10.1103/PhysRevA.57.R1 / Phys. Rev. A / Qubit-qubit interaction in quantum computers by Gea-Banacloche (1998)
10.1103/PhysRevA.60.185 / Phys. Rev. A / Qubit-qubit interaction in quantum computers. II. Adder algorithm with diagonal and off-diagonal interactions by Gea-Banacloche (1999)
10.1103/PhysRevE.62.3504 / Phys. Rev. E / Quantum chaos border for quantum computing by Georgeot (2000)
10.1103/PhysRevE.62.6366 / Phys. Rev. E / Emergence of quantum chaos in the quantum computer core and how to manage it by Georgeot (2000)
10.1140/epjd/e2002-00127-x / Eur. Phys. J. D / Eigenstates of an operating quantum computer: hypersensitivity to static imperfection by Benenti (2002)
10.1140/epjd/e2002-00241-9 / Eur. Phys. J. D / Statistical properties of eigenvalues for an operating quantum computer with static imperfections by Benenti (2003)
10.1142/S0217979203021927 / Int. J. Mod. Phys. B / Stability of quantum computation in the presence of imperfections by Benenti (2003)
10.1071/PH99091 / Aust. J. Phys. / Time dynamics in chaotic many-body systems: can chaos destroy a quantum computer? by Flambaum (2000)
J. Flores, S. Kun, T.H. Seligman, Meltdown in quantum computers needs not occur: nuclear experiments show a way out, preprint quant-ph/0502050, 2005.
10.1103/PhysRevLett.87.227901 / Phys. Rev. Lett. / Efficient quantum computing of complex dynamics by Benenti (2001)
10.1103/PhysRevE.67.046220 / Phys. Rev. E / Quantum computing of quantum chaos in the kicked rotator model by Levi (2003)
10.1103/PhysRevLett.90.257902 / Phys. Rev. Lett. / Imperfection effects for multiple application of the quantum wavelet transform by Terraneo (2003)
10.1140/epjd/e2004-00196-9 / Eur. Phys. J. D / Quantum error correction of coherent errors by randomization by Kern (2005)
10.1103/PhysRevLett.95.250501 / Phys. Rev. Lett. / Controlling quantum systems by embedded dynamical decoupling schemes by Kern (2005)
10.1103/PhysRevE.64.056226 / Phys. Rev. E / Delocalization border and onset of chaos in a model of quantum computation by Berman (2001)
10.1103/PhysRevE.66.056206 / Phys. Rev. E / Dynamical fidelity of a solid-state quantum computation by Berman (2002)
10.1103/PhysRevE.65.015204 / Phys. Rev. E / Avoiding quantum chaos in quantum computation by Berman (2002)
10.1142/S0219749905001122 / Int. J. Quant. Inform. / Stability of the quantum Fourier transformation on the Ising quantum computer by Celardo (2005)
10.1103/PhysRevA.69.052317 / Phys. Rev. A / Entanglement echoes in quantum computation by Rossini (2004)
10.1103/PhysRevA.69.042310 / Phys. Rev. A / A quantitative model for the effective decoherence of a quantum computer with imperfect unitary operations by Bettelli (2004)
10.1103/PhysRevA.67.042301 / Phys. Rev. E / Effect of unitary noise on Grover's quantum search algorithm by Shapira (2003)
10.1103/PhysRevA.69.032314 / Phys. Rev. A / Unification of dynamical decoupling and the quantum Zeno effect by Facchi (2004)
10.1103/PhysRevA.58.2733 / Phys. Rev. A / Dynamical suppression of decoherence in two-state quantum systems by Viola (1998)
10.1103/PhysRevA.71.022302 / Phys. Rev. A / Control of decoherence: analysis and comparison of three different strategies by Facchi (2005)
10.1103/PhysRevA.52.R2493 / Phys. Rev. A / Scheme for reducing decoherence in quantum computer memory by Shor (1995)
10.1103/PhysRevA.54.1098 / Phys. Rev. A / Good quantum error-correcting codes exist by Calderbank (1996)
10.1103/PhysRevLett.77.793 / Phys. Rev. Lett. / Error correcting codes in quantum theory by Steane (1996)
{'key': '10.1016/j.physrep.2006.09.003_bib249', 'first-page': '2551', 'article-title': 'Multiple particle interference and quantum error correction', 'volume': '452', 'author': 'Steane', 'year': '1996', 'journal-title': 'Philos. Trans. R. Soc. A'} / Philos. Trans. R. Soc. A / Multiple particle interference and quantum error correction by Steane (1996)
10.1103/PhysRevA.69.062313 / Phys. Rev. A / Quantum error correction against correlated noise by Clemens (2004)
10.1103/PhysRevLett.86.5192 / Phys. Rev. Lett. / Limits to error correction in quantum chaos by Silvestrov (2001)
10.1103/PhysRevLett.79.3306 / Phys. Rev. Lett. / Noiseless quantum codes by Zanardi (1997)
10.1103/PhysRevA.57.737 / Phys. Rev. A / Reducing decoherence in quantum-computer memory with all quantum bits coupling to the same environment by Duan (1998)
10.1103/PhysRevA.63.022306 / Phys. Rev. A / Decoherence-free subspaces for multiple-qubit errors. I. Characterization by Lidar (2001)
10.1103/PhysRevA.63.022307 / Phys. Rev. A / Decoherence-free subspaces for multiple-qubit errors. II. Universal, fault-tolerant quantum computation by Lidar (2001)
E. Farhi, J. Goldstone, S. Gutmann, M. Sipser, Quantum computation by adiabatic evolution, preprint quant-ph/0001106, 2000.
10.1126/science.1057726 / Science / A quantum adiabatic evolution algorithm applied to random instances of an NP-complete problem by Farhi (2001)
10.1016/S0375-9601(99)00803-8 / Phys. Lett. A / Holonomic quantum computation by Zanardi (1999)
10.1016/j.physleta.2003.08.011 / Phys. Lett. A / Stability of holonomic quantum computations by Kuvshinov (2003)
10.1103/PhysRevA.73.022336 / Phys. Rev. A / Fidelity of holonomic quantum computations in the case of random errors in the values of control parameters by Buividovich (2006)
10.1103/PhysRevA.73.052305 / Phys. Rev. A / Decoherence induced by squeezing control errors in optical and ion trap holonomic quantum computations by Kuvshinov (2006)
{'key': '10.1016/j.physrep.2006.09.003_bib262', 'series-title': 'Proceedings of the 35th Symposium on Foundations of Computer Science', 'first-page': '124', 'article-title': 'Algorithms for quantum computation: discrete logarithms and factoring', 'author': 'Shor', 'year': '1994'} / Proceedings of the 35th Symposium on Foundations of Computer Science / Algorithms for quantum computation: discrete logarithms and factoring by Shor (1994)
D. Coppersmith, An approximate Fourier transform useful in quantum factoring, IBM Research Report RC 19642, 1994.
10.1088/0305-4470/36/12/340 / J. Phys. A / Review of the k-body embedded ensembles of Gaussian random matrices by Benet (2003)
10.1103/PhysRevLett.90.037901 / Phys. Rev. Lett. / Robust dynamical decoupling of quantum systems with bounded controls by Viola (2003)
10.1103/PhysRevA.72.062303 / Phys. Rev. A / Dynamical control of qubit coherence: random versus deterministic schemes by Santos (2005)
10.1142/S0219749903000085 / Int. J. Quant. Inform. / Method for implementation of universal quantum logic gates in a scalable Ising spin quantum computer by Berman (2003)
10.1103/PhysRevLett.80.1324 / Phys. Rev. Lett. / First direct measurement of the spin diffusion rate in a homogenous solid by Zhang (1998)
10.1063/1.1792575 / J. Chem. Phys. / NMR polarization echoes in a nematic liquid crystal by Levstein (2004)
10.1103/PhysRevLett.89.157902 / Phys. Rev. Lett. / Experimental implementation of the quantum Baker's map by Weinstein (2002)
10.1103/PhysRevLett.95.250502 / Phys. Rev. Lett. / Characterization of complex quantum dynamics with a scalable NMR information processor by Ryan (2005)
K. Schaadt, A.P.B. Tufaile, C. Ellegaard, Chaotic sound waves in a regular billiard, Phys. Rev. E 67 (2003) 026213:1–7.
{'key': '10.1016/j.physrep.2006.09.003_bib273', 'series-title': 'Decoherence and the Appearence of a Classical World in Quantum Theory', 'author': 'Giulini', 'year': '1996'} / Decoherence and the Appearence of a Classical World in Quantum Theory by Giulini (1996)
10.1103/PhysRevLett.77.4887 / Phys. Rev. Lett. / Observing the progressive decoherence of the “meter” in a quantum measurement by Brune (1996)
10.1103/PhysRevLett.75.4598 / Phys. Rev. Lett. / Atom optics realization of the quantum delta-kicked rotor by Moore (1995)
10.1016/S1049-250X(08)60218-9 / Adv. At., Mol., Opt. Phys. by Raimond (1999)
M.B. d’Arcy, R.M. Godun, M.K. Oberthaler, D. Cassettari, G.S. Summy, Quantum enhancement of momentum diffusion in the delta-kicked rotor, Phys. Rev. Lett. 87 (7) (2001) 074102:1–4. (10.1103/PhysRevLett.87.074102)
M. Bienert, F. Haug, W.P. Schleich, M.G. Raizen, State reconstruction of the kicked rotor, Phys. Rev. Lett. 89 (5) (2002) 050403:1–4. (10.1103/PhysRevLett.89.050403)
M.B. d’Arcy, R.M. Godun, D. Cassettari, G.S. Summy, Accelerator-mode-based technique for studying quantum chaos, Phys. Rev. A 67 (2003) 023605:1–4.
10.1103/PhysRevLett.90.023001 / Phys. Rev. Lett. / Echo spectroscopy and quantum stability of trapped atoms by Andersen (2003)
S. Kuhr, W. Alt, D. Schrader, I. Dotsenko, Y. Miroshnychenko, W. Rosenfeld, M. Khudaverdyan, V. Gomer, A. Rauschenbeutel, D. Meschede, Coherence properties and quantum state transportation in an optical conveyor belt, Phys. Rev. Lett. 91 (21) (2003) 213002:1–4. (10.1103/PhysRevLett.91.213002)
10.1023/A:1024018431394 / Quant. Inform. Process. / Fidelity decay saturation level for initial eigenstates by Weinstein (2003)
10.1103/PhysRevA.24.2664 / Phys. Rev. A by Cary (1981)
B. Chirikov, Investigations on the theory of nonlinear resonances and stochasticity, Preprint 267, Institute of Nuclear Physics SOAN SSSR, Novosibirsk, (see also [295]) (1969).
{'key': '10.1016/j.physrep.2006.09.003_bib285', 'series-title': 'Elements of Quantum Optics', 'author': 'Meystre', 'year': '1990'} / Elements of Quantum Optics by Meystre (1990)
10.1007/BF01303727 / Z. Phys. B / Classical and quantum chaos for a kicked top by Haake (1987)
10.1103/PhysRevE.50.972 / Phys. Rev. E / Hypersensitivity to perturbations in the quantum kicked top by Schack (1994)
10.1103/PhysRevE.50.2553 / Phys. Rev. E / Chaos and a quantum-classical correspondence in the kicked top by Fox (1994)
10.1103/PhysRevA.59.1781 / Phys. Rev. A / Sensitivity to measurement errors in quantum kicked top by Breslin (1999)
10.1080/09500340008232203 / J. Mod. Opt. / Can the kicked top be realized? by Haake (2000)
10.1016/0031-8914(67)90235-2 / Physica by Niemeijer (1967)
10.1016/0378-4371(77)90014-0 / Physica A by Capel (1977)
10.1143/PTPS.139.191 / Prog. Theor. Phys. by Prosen (2000)
T. Gorin, T.H. Seligman, Signatures of the correlation hole in total and partial cross sections, Phys. Rev. E 65 (2002) 026214:1–18.
10.1016/0370-1573(79)90023-1 / Phys. Rep. / A universal instability of many-dimensional oscillator systems by Chirikov (1979)

Dates

Type	When
Created	18 years, 9 months ago (Nov. 2, 2006, 6:31 p.m.)
Deposited	2 years, 3 months ago (May 9, 2023, 12:41 p.m.)
Indexed	1 week, 2 days ago (Aug. 21, 2025, 12:36 p.m.)
Issued	18 years, 9 months ago (Nov. 1, 2006)
Published	18 years, 9 months ago (Nov. 1, 2006)
Published Print	18 years, 9 months ago (Nov. 1, 2006)

Funders 0

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BibTeX

@article{Gorin_2006, title={Dynamics of Loschmidt echoes and fidelity decay}, volume={435}, ISSN={0370-1573}, url={http://dx.doi.org/10.1016/j.physrep.2006.09.003}, DOI={10.1016/j.physrep.2006.09.003}, number={2–5}, journal={Physics Reports}, publisher={Elsevier BV}, author={Gorin, Thomas and Prosen, Tomaž and Seligman, Thomas H. and Žnidarič, Marko}, year={2006}, month=nov, pages={33–156} }

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      "article-title": "Weitere Studien \u00fcber das W\u00e4rmegleichgewicht unter Gasmolek\u00fclen",
      "volume": "66",
      "author": "Boltzmann",
      "year": "1872",
      "journal-title": "Sitzungsberichte der Akademie der Wissenschaften, Wien II"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib2",
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      "unstructured": "S. Brush, Kinetic Theory, vol. 2, Irreversible Processes, Pergamon Press, Oxford, 1966.",
      "DOI": "10.1119/1.1973673"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib3",
      "first-page": "128",
      "article-title": "\u00dcber den Zustand des W\u00e4rmegleichgewichtes eines Systems von K\u00f6rpern mit Rucksicht auf die Schwerkraft",
      "volume": "73",
      "author": "Loschmidt",
      "year": "1876",
      "journal-title": "Sitzungsberichte der Akademie der Wissenschaften, Wien II"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib4",
      "first-page": "67",
      "article-title": "\u00dcber die Beziehung eines allgemeine mechanischen Satzes zum zweiten Hauptsatze der Warmetheorie",
      "volume": "75",
      "author": "Boltzmann",
      "year": "1877",
      "journal-title": "Sitzungsberichte der Akademie der Wissenschaften, Wien II"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib5",
      "series-title": "Ludwig Boltzmann: The Man Who Trusted Atoms",
      "author": "Cercignani",
      "year": "1998"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib6",
      "first-page": "325",
      "article-title": "The kinetic theory of the dissipation of energy",
      "volume": "vol. 8",
      "author": "Thompson",
      "year": "1874"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib7",
      "doi-asserted-by": "crossref",
      "first-page": "2490",
      "DOI": "10.1103/PhysRevLett.86.2490",
      "article-title": "Environment-independent decoherence rate in classically chaotic systems",
      "volume": "86",
      "author": "Jalabert",
      "year": "2001",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib8",
      "doi-asserted-by": "crossref",
      "first-page": "580",
      "DOI": "10.1103/PhysRev.80.580",
      "article-title": "Spin echoes",
      "volume": "80",
      "author": "Hahn",
      "year": "1950",
      "journal-title": "Phys. Rev."
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib9",
      "doi-asserted-by": "crossref",
      "first-page": "218",
      "DOI": "10.1103/PhysRevLett.25.218",
      "article-title": "Violation of the spin-temperature hypothesis",
      "volume": "25",
      "author": "Rhim",
      "year": "1970",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib10",
      "doi-asserted-by": "crossref",
      "first-page": "2149",
      "DOI": "10.1103/PhysRevLett.69.2149",
      "article-title": "Polarization echoes in NMR",
      "volume": "69",
      "author": "Zhang",
      "year": "1992",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib11",
      "doi-asserted-by": "crossref",
      "first-page": "2718",
      "DOI": "10.1063/1.475664",
      "article-title": "Attenuation of polarization echoes in nuclear magnetic resonance: a study of the emergence of dynamical irreversibility in many-body quantum systems",
      "volume": "108",
      "author": "Levstein",
      "year": "1998",
      "journal-title": "J. Chem. Phys."
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib12",
      "doi-asserted-by": "crossref",
      "unstructured": "A. Gr\u00eat, R. Snieder, Monitoring rapid temporal change in a volcano with coda wave interferometry, Geophys. Res. Lett. 32 (2005) L06304:1\u20134.",
      "DOI": "10.1029/2004GL021143"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib13",
      "series-title": "Quantum Computation and Quantum Information",
      "author": "Nielsen",
      "year": "2001"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib14",
      "doi-asserted-by": "crossref",
      "first-page": "2417",
      "DOI": "10.1103/PhysRevLett.82.2417",
      "article-title": "Dynamical decoupling of open quantum systems",
      "volume": "82",
      "author": "Viola",
      "year": "1999",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib15",
      "doi-asserted-by": "crossref",
      "first-page": "060502",
      "DOI": "10.1103/PhysRevLett.94.060502",
      "article-title": "Random decoupling schemes for quantum dynamical control and error suppression",
      "volume": "94",
      "author": "Viola",
      "year": "2005",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib16",
      "doi-asserted-by": "crossref",
      "first-page": "109",
      "DOI": "10.1088/1367-2630/5/1/109",
      "article-title": "Quantum freeze of fidelity decay for a class of integrable dynamics",
      "volume": "5",
      "author": "Prosen",
      "year": "2003",
      "journal-title": "New J. Phys."
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib17",
      "doi-asserted-by": "crossref",
      "first-page": "044101",
      "DOI": "10.1103/PhysRevLett.94.044101",
      "article-title": "Quantum freeze of fidelity decay for chaotic dynamics",
      "volume": "94",
      "author": "Prosen",
      "year": "2005",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib18",
      "doi-asserted-by": "crossref",
      "first-page": "244105",
      "DOI": "10.1103/PhysRevLett.96.244105",
      "article-title": "Anomalous slow fidelity decay for symmetry breaking perturbations",
      "volume": "96",
      "author": "Gorin",
      "year": "2006",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib19",
      "series-title": "Quantum Signatures of Chaos",
      "author": "Haake",
      "year": "1991"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib20",
      "series-title": "Quantum Chaos: An Introduction",
      "author": "St\u00f6ckmann",
      "year": "1999"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib21",
      "doi-asserted-by": "crossref",
      "first-page": "208",
      "DOI": "10.1016/0167-2789(83)90318-4",
      "article-title": "Some statistical properties of simple classically stochastic quantum systems",
      "volume": "8",
      "author": "Shepelyansky",
      "year": "1983",
      "journal-title": "Physica D"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib22",
      "doi-asserted-by": "crossref",
      "first-page": "2437",
      "DOI": "10.1103/PhysRevLett.56.2437",
      "article-title": "Dynamical stability of quantum \u201cchaotic\u201d motion in a hydrogen atom",
      "volume": "56",
      "author": "Casati",
      "year": "1986",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib23",
      "doi-asserted-by": "crossref",
      "first-page": "509",
      "DOI": "10.1103/PhysRevLett.49.509",
      "article-title": "Chaos, quantum recurrences, and Anderson localization",
      "volume": "49",
      "author": "Fishman",
      "year": "1982",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib24",
      "doi-asserted-by": "crossref",
      "first-page": "1639",
      "DOI": "10.1103/PhysRevA.29.1639",
      "article-title": "Quantum dynamics of a nonintegrable system",
      "volume": "29",
      "author": "Grempel",
      "year": "1984",
      "journal-title": "Phys. Rev. A"
    },
    {
      "issue": "4",
      "key": "10.1016/j.physrep.2006.09.003_bib25",
      "doi-asserted-by": "crossref",
      "first-page": "529",
      "DOI": "10.1103/PhysRevLett.71.529",
      "article-title": "Quantum signatures of classical chaos: sensitivity of wave functions to perturbations",
      "volume": "71",
      "author": "Benet",
      "year": "1993",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib26",
      "doi-asserted-by": "crossref",
      "first-page": "175",
      "DOI": "10.1006/aphy.2000.6052",
      "article-title": "Chaos and energy spreading for time-dependent hamiltonians, and the various regimes in the theory of quantum dissipation",
      "volume": "283",
      "author": "Cohen",
      "year": "2000",
      "journal-title": "Ann. Phys. (NY)"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib27",
      "series-title": "Chaos and Quantum Physics, Proceedings of the Les Houches Summer School, Session LII 1989",
      "article-title": "Wave packet dynamics and quantum chaology",
      "author": "Heller",
      "year": "1991"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib28",
      "doi-asserted-by": "crossref",
      "first-page": "2052",
      "DOI": "10.1103/PhysRevLett.84.2052",
      "article-title": "Wave packet dynamics in energy space, random matrix theory, and the quantum-classical correspondence",
      "volume": "84",
      "author": "Cohen",
      "year": "2000",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib29",
      "doi-asserted-by": "crossref",
      "first-page": "90",
      "DOI": "10.1088/1367-2630/4/1/390",
      "article-title": "Quantization ambiguity, ergodicity and semiclassics",
      "volume": "4",
      "author": "Kaplan",
      "year": "2002",
      "journal-title": "New J. Phys."
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib30",
      "doi-asserted-by": "crossref",
      "first-page": "1610",
      "DOI": "10.1103/PhysRevA.30.1610",
      "article-title": "Stability of quantum motion in chaotic and regular systems",
      "volume": "30",
      "author": "Peres",
      "year": "1984",
      "journal-title": "Phys. Rev. A"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib31",
      "series-title": "Quantum Theory: Concepts and Methods",
      "author": "Peres",
      "year": "1995"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib32",
      "doi-asserted-by": "crossref",
      "first-page": "3813",
      "DOI": "10.1103/PhysRevA.54.3813",
      "article-title": "Classical state sensitivity from quantum mechanics",
      "volume": "54",
      "author": "Ballentine",
      "year": "1996",
      "journal-title": "Phys. Rev. A"
    },
    {
      "issue": "24",
      "key": "10.1016/j.physrep.2006.09.003_bib33",
      "doi-asserted-by": "crossref",
      "first-page": "4790",
      "DOI": "10.1103/PhysRevLett.79.4790",
      "article-title": "Quantum chaos in an ion trap: the delta-kicked harmonic oscillator",
      "volume": "79",
      "author": "Gardiner",
      "year": "1997",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib34",
      "doi-asserted-by": "crossref",
      "first-page": "2968",
      "DOI": "10.1103/PhysRevLett.80.2968",
      "article-title": "Erratum: quantum chaos in an ion trap: the delta-kicked harmonic oscillator",
      "volume": "80",
      "author": "Gardiner",
      "year": "1998",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib35",
      "doi-asserted-by": "crossref",
      "first-page": "3413",
      "DOI": "10.1103/PhysRevLett.69.3413",
      "article-title": "Information and entropy in the baker's map",
      "volume": "69",
      "author": "Schack",
      "year": "1992",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib36",
      "doi-asserted-by": "crossref",
      "first-page": "525",
      "DOI": "10.1103/PhysRevLett.71.525",
      "article-title": "Hypersensitivity to perturbations in the quantum baker's map",
      "volume": "71",
      "author": "Schack",
      "year": "1993",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib37",
      "doi-asserted-by": "crossref",
      "first-page": "3257",
      "DOI": "10.1103/PhysRevE.53.3257",
      "article-title": "Information-theoretic characterization of quantum chaos",
      "volume": "53",
      "author": "Schack",
      "year": "1996",
      "journal-title": "Phys. Rev. E"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib38",
      "doi-asserted-by": "crossref",
      "first-page": "4310",
      "DOI": "10.1103/PhysRevLett.75.4310",
      "article-title": "Quantum dynamical echoes in the spin diffusion in mesoscopic systems",
      "volume": "75",
      "author": "Pastawski",
      "year": "1995",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib39",
      "doi-asserted-by": "crossref",
      "first-page": "1229",
      "DOI": "10.1080/00268979809483253",
      "article-title": "Gaussian to exponential crossover in the attenuation of polarization echoes in NMR",
      "volume": "95",
      "author": "Usaj",
      "year": "1998",
      "journal-title": "Mol. Phys."
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib40",
      "doi-asserted-by": "crossref",
      "first-page": "166",
      "DOI": "10.1016/S0378-4371(00)00146-1",
      "article-title": "A nuclear magnetic resonance answer to the Boltzmann\u2013Loschmidt controversy?",
      "volume": "283",
      "author": "Pastawski",
      "year": "2000",
      "journal-title": "Physica A"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib41",
      "doi-asserted-by": "crossref",
      "first-page": "045206(R)",
      "DOI": "10.1103/PhysRevE.65.045206",
      "article-title": "Decoherence as decay of the Loschmidt echo in a Lorentz gas",
      "volume": "65",
      "author": "Cucchietti",
      "year": "2002",
      "journal-title": "Phys. Rev. E"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib42",
      "doi-asserted-by": "crossref",
      "first-page": "036208",
      "DOI": "10.1103/PhysRevE.65.036208",
      "article-title": "General relation between quantum ergodicity and fidelity of quantum dynamics",
      "volume": "65",
      "author": "Prosen",
      "year": "2002",
      "journal-title": "Phys. Rev. E"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib43",
      "doi-asserted-by": "crossref",
      "first-page": "L681",
      "DOI": "10.1088/0305-4470/34/47/103",
      "article-title": "Can quantum chaos enhance the stability of quantum computation?",
      "volume": "34",
      "author": "Prosen",
      "year": "2001",
      "journal-title": "J. Phys. A"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib44",
      "doi-asserted-by": "crossref",
      "first-page": "055203(R)",
      "DOI": "10.1103/PhysRevE.64.055203",
      "article-title": "Golden rule decay versus Lyapunov decay of the quantum Loschmidt echo",
      "volume": "64",
      "author": "Jacquod",
      "year": "2001",
      "journal-title": "Phys. Rev. E"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib45",
      "doi-asserted-by": "crossref",
      "first-page": "054103",
      "DOI": "10.1103/PhysRevLett.88.054103",
      "article-title": "Sensitivity of wave field evolution and manifold stability in chaotic systems",
      "volume": "88",
      "author": "Cerruti",
      "year": "2002",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib46",
      "doi-asserted-by": "crossref",
      "first-page": "1455",
      "DOI": "10.1088/0305-4470/35/6/309",
      "article-title": "Stability of quantum motion and correlation decay",
      "volume": "35",
      "author": "Prosen",
      "year": "2002",
      "journal-title": "J. Phys. A"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib47",
      "doi-asserted-by": "crossref",
      "first-page": "170405",
      "DOI": "10.1103/PhysRevLett.89.170405",
      "article-title": "Quantum chaotic environments, the butterfly effect, and decoherence",
      "volume": "89",
      "author": "Karkuszewski",
      "year": "2002",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib48",
      "unstructured": "T. Gorin, T. Prosen, T.H. Seligman, W.T. Strunz, Connection between decoherence and fidelity decay in echo dynamics, Phys. Rev. A 70 (2004) 042105:1\u20135."
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib49",
      "doi-asserted-by": "crossref",
      "first-page": "4707",
      "DOI": "10.1088/0305-4470/35/22/304",
      "article-title": "Decoherence of spin echoes",
      "volume": "35",
      "author": "Prosen",
      "year": "2002",
      "journal-title": "J. Phys. A"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib50",
      "doi-asserted-by": "crossref",
      "first-page": "2463",
      "DOI": "10.1088/0305-4470/36/10/307",
      "article-title": "Fidelity and purity decay in weakly coupled composite systems",
      "volume": "36",
      "author": "\u017dnidari\u010d",
      "year": "2003",
      "journal-title": "J. Phys. A"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib51",
      "doi-asserted-by": "crossref",
      "first-page": "062108",
      "DOI": "10.1103/PhysRevA.67.062108",
      "article-title": "Estimation of purity in terms of correlation functions",
      "volume": "67",
      "author": "Prosen",
      "year": "2003",
      "journal-title": "Phys. Rev. A"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib52",
      "unstructured": "T. Gorin, T. Prosen, T.H. Seligman, A random matrix formulation of fidelity decay, New J. Phys. 6 (2004) 20:1\u201329."
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib53",
      "doi-asserted-by": "crossref",
      "first-page": "3451",
      "DOI": "10.1088/0305-4470/36/12/334",
      "article-title": "A uniform approximation for the fidelity in chaotic systems",
      "volume": "36",
      "author": "Cerruti",
      "year": "2003",
      "journal-title": "J. Phys. A"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib54",
      "doi-asserted-by": "crossref",
      "first-page": "11915",
      "DOI": "10.1088/0305-4470/36/47/c01",
      "article-title": "Corrigendum: a uniform approximation for the fidelity in chaotic systems",
      "volume": "36",
      "author": "Cerruti",
      "year": "2003",
      "journal-title": "J. Phys. A"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib55",
      "unstructured": "H.-J. St\u00f6ckmann, R. Sch\u00e4fer, Fidelity recovery in chaotic systems and the Debye\u2013Waller factor, Phys. Rev. Lett. 94 (2005) 244101:1\u20134."
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib56",
      "unstructured": "H.-J. Stockmann, R. Sch\u00e4fer, Recovery of the fidelity amplitude for the gaussian ensembles, New J. Phys. 6 (2004) 199:1\u201318."
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib57",
      "doi-asserted-by": "crossref",
      "first-page": "055201(R)",
      "DOI": "10.1103/PhysRevE.70.055201",
      "article-title": "Dephasing representation: employing the shadowing theorem to calculate quantum correlation functions",
      "volume": "70",
      "author": "Van\u00ed\u010dek",
      "year": "2004",
      "journal-title": "Phys. Rev. E"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib58",
      "doi-asserted-by": "crossref",
      "first-page": "046204",
      "DOI": "10.1103/PhysRevE.73.046204",
      "article-title": "Dephasing representation of quantum fidelity for general pure and mixed states",
      "volume": "73",
      "author": "Van\u00ed\u010dek",
      "year": "2006",
      "journal-title": "Phys. Rev. E"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib59",
      "doi-asserted-by": "crossref",
      "first-page": "066205",
      "DOI": "10.1103/PhysRevE.65.066205",
      "article-title": "Quantum-classical correspondence in perturbed chaotic systems",
      "volume": "65",
      "author": "Benenti",
      "year": "2002",
      "journal-title": "Phys. Rev. E"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib60",
      "doi-asserted-by": "crossref",
      "first-page": "371",
      "DOI": "10.1088/0305-4470/36/2/306",
      "article-title": "Echoes in classical dynamical systems",
      "volume": "36",
      "author": "Eckhardt",
      "year": "2003",
      "journal-title": "J. Phys. A"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib61",
      "doi-asserted-by": "crossref",
      "first-page": "055202(R)",
      "DOI": "10.1103/PhysRevE.67.055202",
      "article-title": "Stability of classical chaotic motion under a system's perturbations",
      "volume": "67",
      "author": "Benenti",
      "year": "2003",
      "journal-title": "Phys. Rev. E"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib62",
      "doi-asserted-by": "crossref",
      "first-page": "034101",
      "DOI": "10.1103/PhysRevLett.92.034101",
      "article-title": "Faster than Lyapunov decays of the classical Loschmidt echo",
      "volume": "92",
      "author": "Veble",
      "year": "2004",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib63",
      "doi-asserted-by": "crossref",
      "first-page": "036212",
      "DOI": "10.1103/PhysRevE.68.036212",
      "article-title": "Decay of the classical Loschmidt echo in integrable systems",
      "volume": "68",
      "author": "Benenti",
      "year": "2003",
      "journal-title": "Phys. Rev. E"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib64",
      "doi-asserted-by": "crossref",
      "first-page": "893",
      "DOI": "10.1209/epl/i2005-10187-x",
      "article-title": "Chaotic dynamics in superconducting nanocircuits",
      "volume": "71",
      "author": "Montangero",
      "year": "2005",
      "journal-title": "Europhys. Lett."
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib65",
      "unstructured": "V. Sokolov, G. Benenti, G. Casati, Quantum dephasing and decay of classical correlation functions in chaotic systems, preprint quant-ph/0504141, 2005."
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib66",
      "doi-asserted-by": "crossref",
      "first-page": "756",
      "DOI": "10.1063/1.523304",
      "article-title": "The Zeno's paradox in quantum theory",
      "volume": "18",
      "author": "Misra",
      "year": "1977",
      "journal-title": "J. Math. Phys."
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib67",
      "doi-asserted-by": "crossref",
      "first-page": "913",
      "DOI": "10.1119/1.12204",
      "article-title": "Zeno paradox in quantum theory",
      "volume": "48",
      "author": "Peres",
      "year": "1980",
      "journal-title": "Am. J. Phys."
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib68",
      "unstructured": "O.I. Lobkis, R.L. Weaver, Coda-wave interferometry in finite solids: recovery of p-to-s conversion rates in an elastodynamic billiard, Phys. Rev. Lett. 90 (2003) 254302:1\u20134."
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib69",
      "unstructured": "R. Sch\u00e4fer, T. Gorin, H.-J. St\u00f6ckmann, T.H. Seligman, Fidelity amplitude of the scattering matrix in microwave cavities, New J. Phys. 7 (2005) 152:1\u201314."
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib70",
      "unstructured": "R. Sch\u00e4fer, H.-J. St\u00f6ckmann, T. Gorin, T.H. Seligman, Experimental verification of fidelity decay: from perturbative to Fermi golden rule regime, Phys. Rev. Lett. 95 (2005) 184102:1\u20134."
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib71",
      "doi-asserted-by": "crossref",
      "first-page": "649",
      "DOI": "10.1002/cpa.3160070404",
      "volume": "7",
      "author": "Magnus",
      "year": "1954",
      "journal-title": "Commun. Pure Appl. Math."
    },
    {
      "issue": "Suppl.",
      "key": "10.1016/j.physrep.2006.09.003_bib72",
      "doi-asserted-by": "crossref",
      "first-page": "200",
      "DOI": "10.1143/PTPS.150.200",
      "article-title": "Theory of quantum Loschmidt echoes",
      "volume": "150",
      "author": "Prosen",
      "year": "2003",
      "journal-title": "Prog. Theor. Phys. Suppl."
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib73",
      "doi-asserted-by": "crossref",
      "first-page": "025204(R)",
      "DOI": "10.1103/PhysRevE.67.025204",
      "article-title": "Hypersensitivity to perturbations of quantum-chaotic wave-packet dynamics",
      "volume": "67",
      "author": "Silvestrov",
      "year": "2003",
      "journal-title": "Phys. Rev. E"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib74",
      "doi-asserted-by": "crossref",
      "first-page": "056208",
      "DOI": "10.1103/PhysRevE.66.056208",
      "article-title": "Crossover of quantum Loschmidt echo from golden-rule decay to perturbation-independent decay",
      "volume": "66",
      "author": "Wang",
      "year": "2002",
      "journal-title": "Phys. Rev. E"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib75",
      "doi-asserted-by": "crossref",
      "first-page": "036223",
      "DOI": "10.1103/PhysRevE.71.036223",
      "article-title": "Mesoscopic fluctuations of the loschmidt echo",
      "volume": "71",
      "author": "Petitjean",
      "year": "2005",
      "journal-title": "Phys. Rev. E"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib76",
      "first-page": "245",
      "article-title": "The uncertainty relation between energy and time in nonrelativistic quantum mechanics",
      "volume": "9",
      "author": "Mandelstam",
      "year": "1945",
      "journal-title": "J. Phys. (USSR)"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib77",
      "doi-asserted-by": "crossref",
      "first-page": "232",
      "DOI": "10.1007/BF02819419",
      "article-title": "A unitary bound on the evolution of nonstationary states",
      "volume": "16",
      "author": "Fleming",
      "year": "1973",
      "journal-title": "Nuovo Cimento A"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib78",
      "doi-asserted-by": "crossref",
      "first-page": "935",
      "DOI": "10.1119/1.17368",
      "article-title": "The rate of evolution of a quantum state",
      "volume": "61",
      "author": "Uffink",
      "year": "1993",
      "journal-title": "Am. J. Phys."
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib79",
      "doi-asserted-by": "crossref",
      "first-page": "2383",
      "DOI": "10.1103/PhysRevE.58.2983",
      "article-title": "Multiplicative semiclassical dynamics and the quantization time",
      "volume": "58",
      "author": "Kaplan",
      "year": "1998",
      "journal-title": "Phys. Rev. E"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib80",
      "doi-asserted-by": "crossref",
      "first-page": "026223",
      "DOI": "10.1103/PhysRevE.70.026223",
      "article-title": "Semiclassical accuracy in phase space for regular and chaotic dynamics",
      "volume": "70",
      "author": "Kaplan",
      "year": "2003",
      "journal-title": "Phys. Rev. E"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib81",
      "doi-asserted-by": "crossref",
      "first-page": "036214",
      "DOI": "10.1103/PhysRevE.72.036214",
      "article-title": "Brownian motion model of quantization ambiguity and universality in chaotic systems",
      "volume": "72",
      "author": "Kaplan",
      "year": "2005",
      "journal-title": "Phys. Rev. E"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib82",
      "doi-asserted-by": "crossref",
      "first-page": "805",
      "DOI": "10.1088/0951-7715/5/4/001",
      "article-title": "Semiclassical quantization of multidimensional systems",
      "volume": "5",
      "author": "Bogomolny",
      "year": "1992",
      "journal-title": "Nonlinearity"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib83",
      "doi-asserted-by": "crossref",
      "first-page": "015202(R)",
      "DOI": "10.1103/PhysRevE.73.015202",
      "article-title": "Scattering fidelity in elastodynamics",
      "volume": "73",
      "author": "Gorin",
      "year": "2006",
      "journal-title": "Phys. Rev. E"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib84",
      "series-title": "The Quantum Theory of Nonrelativistiv Collisions",
      "author": "Taylor",
      "year": "1972"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib85",
      "series-title": "Shell-Model Approach to Nuclear Reactions",
      "author": "Mahaux",
      "year": "1969"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib86",
      "doi-asserted-by": "crossref",
      "first-page": "189",
      "DOI": "10.1016/S0370-1573(97)00088-4",
      "article-title": "Random-matrix theories in quantum physics: common concepts",
      "volume": "299",
      "author": "Guhr",
      "year": "1998",
      "journal-title": "Phys. Rep."
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib87",
      "doi-asserted-by": "crossref",
      "first-page": "3289",
      "DOI": "10.1088/0305-4470/36/12/325",
      "article-title": "Correlation functions of scattering matrix elements in microwave cavities with strong absorption",
      "volume": "36",
      "author": "Sch\u00e4fer",
      "year": "2003",
      "journal-title": "J. Phys. A: Math. Gen."
    },
    {
      "issue": "3",
      "key": "10.1016/j.physrep.2006.09.003_bib88",
      "doi-asserted-by": "crossref",
      "first-page": "859",
      "DOI": "10.1103/PhysRevC.8.859",
      "article-title": "Hauser\u2013Feshbach theory and Ericson fluctuations in the presence of direct reactions",
      "volume": "8",
      "author": "Engelbrecht",
      "year": "1973",
      "journal-title": "Phys. Rev. C"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib89",
      "doi-asserted-by": "crossref",
      "first-page": "273",
      "DOI": "10.1016/0034-4877(76)90060-4",
      "article-title": "The \u201ctransition probability\u201d in the state space of a*-algebra",
      "volume": "9",
      "author": "Uhlmann",
      "year": "1976",
      "journal-title": "Rep. Math. Phys."
    },
    {
      "issue": "12",
      "key": "10.1016/j.physrep.2006.09.003_bib90",
      "doi-asserted-by": "crossref",
      "first-page": "2315",
      "DOI": "10.1080/09500349414552171",
      "article-title": "Fidelity for mixed quantum states",
      "volume": "41",
      "author": "Jozsa",
      "year": "1994",
      "journal-title": "J. Mod. Opt."
    },
    {
      "issue": "10",
      "key": "10.1016/j.physrep.2006.09.003_bib91",
      "doi-asserted-by": "crossref",
      "first-page": "36",
      "DOI": "10.1063/1.881293",
      "article-title": "Decoherence and the transition from quantum to classical",
      "volume": "44",
      "author": "Zurek",
      "year": "1991",
      "journal-title": "Phys. Today"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib92",
      "doi-asserted-by": "crossref",
      "first-page": "160",
      "DOI": "10.1007/BF01646092",
      "article-title": "Entropy inequalities",
      "volume": "18",
      "author": "Araki",
      "year": "1970",
      "journal-title": "Commun. Math. Phys."
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib93",
      "doi-asserted-by": "crossref",
      "first-page": "405",
      "DOI": "10.1016/0003-4916(73)90040-7",
      "article-title": "Dynamics of quantum correlations",
      "volume": "76",
      "author": "K\u00fcbler",
      "year": "1973",
      "journal-title": "Ann. Phys. (NY)"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib94",
      "doi-asserted-by": "crossref",
      "first-page": "207",
      "DOI": "10.1103/PhysRevLett.77.207",
      "article-title": "Perturbative expansion for coherence loss",
      "volume": "77",
      "author": "Kim",
      "year": "1996",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib95",
      "doi-asserted-by": "crossref",
      "first-page": "450",
      "DOI": "10.1016/0378-4371(78)90190-5",
      "article-title": "Condition of stochasticity in quantum nonlinear systems",
      "volume": "91",
      "author": "Berman",
      "year": "1978",
      "journal-title": "Physica A"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib96",
      "series-title": "Ergodic Problems of Classical Mechanics",
      "author": "Arnold",
      "year": "1968"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib97",
      "doi-asserted-by": "crossref",
      "first-page": "591",
      "DOI": "10.1103/PhysRevA.34.591",
      "article-title": "Distribution of matrix elements of chaotic systems",
      "volume": "34",
      "author": "Feingold",
      "year": "1986",
      "journal-title": "Phys. Rev. A"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib98",
      "doi-asserted-by": "crossref",
      "first-page": "2415",
      "DOI": "10.1088/0305-4470/20/9/028",
      "article-title": "A semiclassical sum-rule for matrix elements of classically chaotic systems",
      "volume": "20",
      "author": "Wilkinson",
      "year": "1987",
      "journal-title": "J. Phys. A"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib99",
      "doi-asserted-by": "crossref",
      "first-page": "6507",
      "DOI": "10.1103/PhysRevA.39.6507",
      "article-title": "Semiclassical structure of hamiltonians",
      "volume": "39",
      "author": "Feingold",
      "year": "1989",
      "journal-title": "Phys. Rev. A"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib100",
      "doi-asserted-by": "crossref",
      "first-page": "L319",
      "DOI": "10.1088/0305-4470/26/6/005",
      "article-title": "Distribution and fluctuation properties of transition probabilities in a system between integrability and chaos",
      "volume": "26",
      "author": "Prosen",
      "year": "1993",
      "journal-title": "J. Phys. A"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib101",
      "doi-asserted-by": "crossref",
      "first-page": "115",
      "DOI": "10.1006/aphy.1994.1093",
      "article-title": "Statistical properties of matrix elements in a Hamilton system between integrability and chaos",
      "volume": "235",
      "author": "Prosen",
      "year": "1994",
      "journal-title": "Ann. Phys."
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib102",
      "unstructured": "D.V. Bevilaqua, E.J. Heller, Fidelity decay for phase space displacements, preprint nlin.CD/0409007, 2004."
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib103",
      "doi-asserted-by": "crossref",
      "first-page": "045201(R)",
      "DOI": "10.1103/PhysRevE.66.045201",
      "article-title": "Saturation of the production of quantum entanglement between weakly coupled mapping systems in a strongly chaotic region",
      "volume": "66",
      "author": "Tanaka",
      "year": "2002",
      "journal-title": "Phys. Rev. E"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib104",
      "doi-asserted-by": "crossref",
      "first-page": "066201",
      "DOI": "10.1103/PhysRevE.67.066201",
      "article-title": "Dynamical aspects of quantum entanglement for weakly coupled kicked tops",
      "volume": "67",
      "author": "Fujisaki",
      "year": "2003",
      "journal-title": "Phys. Rev. E"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib105",
      "doi-asserted-by": "crossref",
      "first-page": "025201(R)",
      "DOI": "10.1103/PhysRevE.69.025201",
      "article-title": "Stability of quantum motion: beyond Fermi-golden-rule and Lyapunov decay",
      "volume": "69",
      "author": "Wang",
      "year": "2004",
      "journal-title": "Phys. Rev. E"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib106",
      "doi-asserted-by": "crossref",
      "first-page": "9553",
      "DOI": "10.1088/0305-4470/36/36/308",
      "article-title": "Entangling power of the quantum baker's map",
      "volume": "36",
      "author": "Scott",
      "year": "2003",
      "journal-title": "J. Phys. A"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib107",
      "doi-asserted-by": "crossref",
      "first-page": "062315",
      "DOI": "10.1103/PhysRevA.70.062315",
      "article-title": "Entanglement dynamics in chaotic systems",
      "volume": "70",
      "author": "Ghose",
      "year": "2004",
      "journal-title": "Phys. Rev. A"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib108",
      "doi-asserted-by": "crossref",
      "first-page": "060402",
      "DOI": "10.1103/PhysRevLett.89.060402",
      "article-title": "Testing statistical bounds on entanglement using quantum chaos",
      "volume": "89",
      "author": "Bandyopadhyay",
      "year": "2002",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib109",
      "doi-asserted-by": "crossref",
      "first-page": "016201",
      "DOI": "10.1103/PhysRevE.69.016201",
      "article-title": "Entanglement production in coupled chaotic systems: case of the kicked tops",
      "volume": "69",
      "author": "Bandyopadhyay",
      "year": "2004",
      "journal-title": "Phys. Rev. E"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib110",
      "doi-asserted-by": "crossref",
      "first-page": "012305",
      "DOI": "10.1103/PhysRevA.73.012305",
      "article-title": "Evolution of pairwise entanglement in a coupled n-body system",
      "volume": "73",
      "author": "Pineda",
      "year": "2006",
      "journal-title": "Phys. Rev. A"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib111",
      "doi-asserted-by": "crossref",
      "unstructured": "C. Pineda, T.H. Seligman, A Bell pair in a generic random matrix environment, preprint quant-ph/0605169, 2006.",
      "DOI": "10.1103/PhysRevA.75.012106"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib112",
      "unstructured": "T. Gorin, S. Mossmann, C. Pineda, T. H. Seligman, 2006, in preparation."
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib113",
      "unstructured": "F. Izrailev, A. Casta\u00f1eda-Mendoza, Entropy production and fidelity for quantum many-body systems with noise, vol. 5472 of Proc. of SPIE: The International Society for Optical Engineering, 2004, pp. 252\u2013265, also preprint quant-ph/0403097."
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib114",
      "doi-asserted-by": "crossref",
      "first-page": "016217",
      "DOI": "10.1103/PhysRevE.70.016217",
      "article-title": "Entanglement as a signature of quantum chaos",
      "volume": "70",
      "author": "Wang",
      "year": "2004",
      "journal-title": "Phys. Rev. E"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib115",
      "doi-asserted-by": "crossref",
      "first-page": "210403",
      "DOI": "10.1103/PhysRevLett.91.210403",
      "article-title": "Decoherence and the Loschmidt echo",
      "volume": "91",
      "author": "Cucchietti",
      "year": "2003",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib116",
      "doi-asserted-by": "crossref",
      "first-page": "035311",
      "DOI": "10.1103/PhysRevB.70.035311",
      "article-title": "Universality of the Lyapunov regime for the Loschmidt echo",
      "volume": "70",
      "author": "Cucchietti",
      "year": "2004",
      "journal-title": "Phys. Rev. B"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib117",
      "doi-asserted-by": "crossref",
      "first-page": "056217",
      "DOI": "10.1103/PhysRevE.67.056217",
      "article-title": "Loschmidt echo and Lyapunov exponent in a quantum disordered system",
      "volume": "67",
      "author": "Adamov",
      "year": "2003",
      "journal-title": "Phys. Rev. E"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib118",
      "doi-asserted-by": "crossref",
      "first-page": "046209",
      "DOI": "10.1103/PhysRevE.65.046209",
      "article-title": "Measuring the Lyapunov exponent using quantum mechanics",
      "volume": "65",
      "author": "Cucchietti",
      "year": "2002",
      "journal-title": "Phys. Rev. E"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib119",
      "doi-asserted-by": "crossref",
      "first-page": "055206(R)",
      "DOI": "10.1103/PhysRevE.65.055206",
      "article-title": "Sensitivity to perturbations in a quantum chaotic billiard",
      "volume": "65",
      "author": "Wisniacki",
      "year": "2002",
      "journal-title": "Phys. Rev. E"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib120",
      "doi-asserted-by": "crossref",
      "first-page": "016205",
      "DOI": "10.1103/PhysRevE.67.016205",
      "article-title": "Short time decay of the Loschmidt echo",
      "volume": "67",
      "author": "Wisniacki",
      "year": "2003",
      "journal-title": "Phys. Rev. E"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib121",
      "doi-asserted-by": "crossref",
      "first-page": "056208",
      "DOI": "10.1103/PhysRevE.68.056208",
      "article-title": "Semiclassical evaluation of quantum fidelity",
      "volume": "68",
      "author": "Van\u00ed\u010dek",
      "year": "2003",
      "journal-title": "Phys. Rev. E"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib122",
      "doi-asserted-by": "crossref",
      "first-page": "037202",
      "DOI": "10.1103/PhysRevE.71.037202",
      "article-title": "Uniform semiclassical approach to fidelity decay in the deep Lyapunov regime",
      "volume": "71",
      "author": "Wang",
      "year": "2005",
      "journal-title": "Phys. Rev. E"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib123",
      "doi-asserted-by": "crossref",
      "first-page": "066203",
      "DOI": "10.1103/PhysRevE.71.066203",
      "article-title": "Uniform semiclassical approach to fidelity decay: from weak to strong perturbation",
      "volume": "71",
      "author": "Wang",
      "year": "2005",
      "journal-title": "Phys. Rev. E"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib124",
      "doi-asserted-by": "crossref",
      "first-page": "150403",
      "DOI": "10.1103/PhysRevLett.92.150403",
      "article-title": "Semiclassical time evolution of the reduced density matrix and dynamically assisted generation of entanglement for bipartite quantum systems",
      "volume": "92",
      "author": "Jacquod",
      "year": "2004",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "issue": "9",
      "key": "10.1016/j.physrep.2006.09.003_bib125",
      "doi-asserted-by": "crossref",
      "first-page": "1187",
      "DOI": "10.1103/PhysRevLett.70.1187",
      "article-title": "Coherent states via decoherence",
      "volume": "70",
      "author": "Zurek",
      "year": "1993",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib126",
      "doi-asserted-by": "crossref",
      "first-page": "026206",
      "DOI": "10.1103/PhysRevE.70.026206",
      "article-title": "Loschmidt echo for a chaotic oscillator",
      "volume": "70",
      "author": "Iomin",
      "year": "2004",
      "journal-title": "Phys. Rev. E"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib127",
      "doi-asserted-by": "crossref",
      "first-page": "026223",
      "DOI": "10.1103/PhysRevE.73.026223",
      "article-title": "Stability of wave packet dynamics under perturbations",
      "volume": "73",
      "author": "Bolte",
      "year": "2006",
      "journal-title": "Phys. Rev. E"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib128",
      "unstructured": "M. Combescure, D. Robert, A phase-space study of the quantum Loschmidt Echo in the semiclassical limit, preprint quant-ph/0510151, 2005."
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib129",
      "doi-asserted-by": "crossref",
      "first-page": "178",
      "DOI": "10.1073/pnas.14.2.178",
      "volume": "14",
      "author": "van Vleck",
      "year": "1928",
      "journal-title": "Proc. Natl. Acad. Sci."
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib130",
      "series-title": "Chaos in Classical and Quantum Mechanics",
      "author": "Gutzwiller",
      "year": "1990"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib131",
      "unstructured": "P. Cvitanovi\u0107, R. Artuso, R. Mainieri, G. Tanner, G. Vattay, Chaos: Classical and Quantum, Niels Bohr Institute, Copenhagen, 2005, http://ChaosBook.org."
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib132",
      "doi-asserted-by": "crossref",
      "first-page": "265",
      "DOI": "10.1016/S0370-1573(97)00070-7",
      "article-title": "The Weyl representation in classical and quantum mechanics",
      "volume": "295",
      "author": "Ozorio de Almeida",
      "year": "1998",
      "journal-title": "Phys. Rep."
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib133",
      "unstructured": "J. Van\u00ed\u010dek, Private communication, 2006."
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib134",
      "unstructured": "J. Van\u00ed\u010dek, Dephasing representation: unified semiclassical framework for fidelity decay, preprint quant-ph/0410205, 2004."
    },
    {
      "issue": "3",
      "key": "10.1016/j.physrep.2006.09.003_bib135",
      "doi-asserted-by": "crossref",
      "first-page": "385",
      "DOI": "10.1103/RevModPhys.53.385",
      "article-title": "Random-matrix physics: spectrum and strength fluctuations",
      "volume": "53",
      "author": "Brody",
      "year": "1981",
      "journal-title": "Rev. Mod. Phys."
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib136",
      "doi-asserted-by": "crossref",
      "first-page": "139",
      "DOI": "10.1140/epjd/e2004-00038-x",
      "article-title": "Quantum chaos and random matrix theory for fidelity decay in quantum computations with static imperfections",
      "volume": "29",
      "author": "Frahm",
      "year": "2004",
      "journal-title": "Eur. Phys. J. D"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib137",
      "doi-asserted-by": "crossref",
      "first-page": "066212",
      "DOI": "10.1103/PhysRevE.73.066212",
      "article-title": "Fidelity freeze for a random matrix model with off-diagonal perturbation",
      "volume": "73",
      "author": "St\u00f6ckmann",
      "year": "2006",
      "journal-title": "Phys. Rev. E"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib138",
      "doi-asserted-by": "crossref",
      "first-page": "279",
      "DOI": "10.1007/BF02798790",
      "volume": "28",
      "author": "Casati",
      "year": "1980",
      "journal-title": "Lett. Nuovo Cimento"
    },
    {
      "issue": "1",
      "key": "10.1016/j.physrep.2006.09.003_bib139",
      "doi-asserted-by": "crossref",
      "first-page": "1",
      "DOI": "10.1103/PhysRevLett.52.1",
      "article-title": "Characterization of chaotic quantum spectra and universality of level fluctuation laws",
      "volume": "52",
      "author": "Bohigas",
      "year": "1984",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "issue": "5\u20136",
      "key": "10.1016/j.physrep.2006.09.003_bib140",
      "doi-asserted-by": "crossref",
      "first-page": "348",
      "DOI": "10.1016/0375-9601(92)90516-O",
      "article-title": "Structural invariance and the statistics of quasi-energies",
      "volume": "168",
      "author": "Leyvraz",
      "year": "1992",
      "journal-title": "Phys. Lett. A"
    },
    {
      "issue": "8",
      "key": "10.1016/j.physrep.2006.09.003_bib141",
      "doi-asserted-by": "crossref",
      "first-page": "5422",
      "DOI": "10.1103/PhysRevB.48.5422",
      "article-title": "Universalities in the spectra of disordered and chaotic systems",
      "volume": "48",
      "author": "Simons",
      "year": "1993",
      "journal-title": "Phys. Rev. B"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib142",
      "doi-asserted-by": "crossref",
      "first-page": "181",
      "DOI": "10.1016/0375-9601(96)00204-6",
      "article-title": "Universal parametric correlations of the eigenphases of the S-matrix",
      "volume": "215",
      "author": "Dietz",
      "year": "1996",
      "journal-title": "Phys. Lett. A"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib143",
      "doi-asserted-by": "crossref",
      "first-page": "116",
      "DOI": "10.1007/BF02940719",
      "article-title": "Domaines born\u00e9s homog\u00e8nes de l\u2019espace de n variables complexes",
      "volume": "11",
      "author": "Cartan",
      "year": "1935",
      "journal-title": "Abh. Math. Sem. Hamburg Univ."
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib144",
      "series-title": "Random Matrices and the Statistical Theory of Spectra",
      "author": "Mehta",
      "year": "1991"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib145",
      "doi-asserted-by": "crossref",
      "unstructured": "M. Hiller, T. Kottos, D. Cohen, T. Geisel, Quantum reversibility: is there an echo?, Phys. Rev. Lett. 92 (2004) 010402:1\u20134.",
      "DOI": "10.1103/PhysRevLett.92.010402"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib146",
      "unstructured": "D. Martinez, Private communication, 2005."
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib147",
      "unstructured": "J. Tworzyd\u226ao, A. Tajic, H. Schomerus, C.W.J. Beenakker, Dynamical model for the quantum-to-classical crossover of shot noise, Phys. Rev. B 68 (2003) 115313:1\u20136."
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib148",
      "doi-asserted-by": "crossref",
      "first-page": "043803",
      "DOI": "10.1103/PhysRevA.71.043803",
      "article-title": "Motional stability of the quantum kicked rotor: a fidelity approach",
      "volume": "71",
      "author": "Haug",
      "year": "2005",
      "journal-title": "Phys. Rev. A"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib149",
      "doi-asserted-by": "crossref",
      "first-page": "367",
      "DOI": "10.1016/0370-1573(85)90070-5",
      "article-title": "Grassmann integration in stochastic quantum physics: the case of compound-nucleus scattering",
      "volume": "129",
      "author": "Verbaarschot",
      "year": "1985",
      "journal-title": "Phys. Rep."
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib150",
      "doi-asserted-by": "crossref",
      "first-page": "066120",
      "DOI": "10.1103/PhysRevE.73.066120",
      "article-title": "Verification of generic fidelity recovery in a dynamical system",
      "volume": "73",
      "author": "Pineda",
      "year": "2006",
      "journal-title": "Phys. Rev. E"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib151",
      "doi-asserted-by": "crossref",
      "first-page": "014103",
      "DOI": "10.1103/PhysRevLett.93.014103",
      "article-title": "Semiclassical foundation of universality in quantum chaos",
      "volume": "93",
      "author": "M\u00fcller",
      "year": "2004",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib152",
      "unstructured": "S. M\u00fcller, S. Heusler, P. Braun, F. Haake, A. Altland, Periodic-orbit theory of universality in quantum chaos, Phys. Rev. E 72 (2005) 046207:1\u201310."
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib153",
      "doi-asserted-by": "crossref",
      "first-page": "194101",
      "DOI": "10.1103/PhysRevLett.93.194101",
      "article-title": "Universal spectral statistics in quantum graphs",
      "volume": "93",
      "author": "Gnutzmann",
      "year": "2004",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib154",
      "doi-asserted-by": "crossref",
      "first-page": "798",
      "DOI": "10.1103/PhysRevLett.73.798",
      "article-title": "Exact distribution of eigenvalue curvatures of chaotic quantum systems",
      "volume": "73",
      "author": "Oppen",
      "year": "1994",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib155",
      "doi-asserted-by": "crossref",
      "first-page": "2647",
      "DOI": "10.1103/PhysRevE.51.2647",
      "article-title": "Exact distributions of eigenvalue curvatures for time-reversal-invariant chaotic systems",
      "volume": "51",
      "author": "Oppen",
      "year": "1995",
      "journal-title": "Phys. Rev. E"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib156",
      "doi-asserted-by": "crossref",
      "first-page": "123",
      "DOI": "10.1007/s002570050018",
      "article-title": "Universality of \u201clevel curvature\u201d distribution for large random matrices: systematic analytical approaches",
      "volume": "99",
      "author": "Fyodorov",
      "year": "1995",
      "journal-title": "Z. Phys. B"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib157",
      "unstructured": "M. Abramowitz, I.A. Stegun (Eds.), Handbook of Mathematical Functions, Dover Publications Inc., New York, 1970."
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib158",
      "doi-asserted-by": "crossref",
      "first-page": "483",
      "DOI": "10.1103/PhysRev.104.483",
      "article-title": "Fluctuations of nuclear reaction widths",
      "volume": "104",
      "author": "Porter",
      "year": "1956",
      "journal-title": "Phys. Rev."
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib159",
      "doi-asserted-by": "crossref",
      "first-page": "2315",
      "DOI": "10.1088/0305-4470/32/12/006",
      "article-title": "Correlations in the scattering cross section of regular systems",
      "volume": "32",
      "author": "Gorin",
      "year": "1999",
      "journal-title": "J. Phys. A: Math. Gen."
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib160",
      "doi-asserted-by": "crossref",
      "first-page": "S386",
      "DOI": "10.1088/1464-4266/4/4/325",
      "article-title": "A random matrix approach to decoherence",
      "volume": "4",
      "author": "Gorin",
      "year": "2002",
      "journal-title": "J. Opt. B: Quantum Semiclass. Opt."
    },
    {
      "issue": "1\u20132",
      "key": "10.1016/j.physrep.2006.09.003_bib161",
      "doi-asserted-by": "crossref",
      "first-page": "61",
      "DOI": "10.1016/S0375-9601(03)00131-2",
      "article-title": "Decoherence in chaotic and integrable systems: a random matrix approach",
      "volume": "309",
      "author": "Gorin",
      "year": "2003",
      "journal-title": "Phys. Lett. A"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib162",
      "doi-asserted-by": "crossref",
      "first-page": "042112",
      "DOI": "10.1103/PhysRevA.67.042112",
      "article-title": "Evolution of entanglement under echo dynamics",
      "volume": "67",
      "author": "Prosen",
      "year": "2003",
      "journal-title": "Phys. Rev. A"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib163",
      "doi-asserted-by": "crossref",
      "first-page": "284102",
      "DOI": "10.1103/PhysRevLett.89.284102",
      "article-title": "Fidelity decay as an efficient indicator of quantum chaos",
      "volume": "89",
      "author": "Emerson",
      "year": "2002",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "issue": "5",
      "key": "10.1016/j.physrep.2006.09.003_bib164",
      "doi-asserted-by": "crossref",
      "first-page": "056216",
      "DOI": "10.1103/PhysRevE.70.056216",
      "article-title": "Classical versus quantum errors in quantum computation of dynamical systems",
      "volume": "70",
      "author": "Rossini",
      "year": "2004",
      "journal-title": "Phys. Rev. E"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib165",
      "doi-asserted-by": "crossref",
      "first-page": "035203(R)",
      "DOI": "10.1103/PhysRevE.71.035203",
      "article-title": "Effect of symmetries on quantum fidelity decay",
      "volume": "71",
      "author": "Weinstein",
      "year": "2005",
      "journal-title": "Phys. Rev. E"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib166",
      "doi-asserted-by": "crossref",
      "first-page": "237",
      "DOI": "10.1098/rsta.1977.0145",
      "article-title": "Semi-classical mechanics in phase space: a study of Wigner's function",
      "volume": "287",
      "author": "Berry",
      "year": "1977",
      "journal-title": "Philos. Trans. R. Soc. A"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib167",
      "doi-asserted-by": "crossref",
      "first-page": "036216",
      "DOI": "10.1103/PhysRevE.68.036216",
      "article-title": "Recurrence of fidelity in nearly integrable systems",
      "volume": "68",
      "author": "Sankaranarayanan",
      "year": "2003",
      "journal-title": "Phys. Rev. E"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib168",
      "doi-asserted-by": "crossref",
      "first-page": "043801",
      "DOI": "10.1103/PhysRevA.64.043801",
      "article-title": "Recoherence in the entanglement dynamics and classical orbits in the N-atom Jaynes-Cummings model",
      "volume": "64",
      "author": "Angelo",
      "year": "2001",
      "journal-title": "Phys. Rev. A"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib169",
      "doi-asserted-by": "crossref",
      "first-page": "032102",
      "DOI": "10.1063/1.2178153",
      "article-title": "The quantum fidelity for the time-dependent singular quantum oscillator",
      "volume": "47",
      "author": "Combescure",
      "year": "2006",
      "journal-title": "J. Math. Phys."
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib170",
      "unstructured": "M. \u017dnidari\u010d, Stability of Quantum Dynamics, Ph.D. Thesis, University of Ljubljana, available as quant-ph/0406124, 2004."
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib171",
      "doi-asserted-by": "crossref",
      "first-page": "016209",
      "DOI": "10.1103/PhysRevE.71.016209",
      "article-title": "Quantum fidelity decay in quasi-integrable systems",
      "volume": "71",
      "author": "Weinstein",
      "year": "2005",
      "journal-title": "Phys. Rev. E"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib172",
      "doi-asserted-by": "crossref",
      "first-page": "L329",
      "DOI": "10.1088/0953-4075/29/8/004",
      "article-title": "The influence of higher-order anharmonic corrections to the energy spectrum on the evolution of quantum wavepackets",
      "volume": "29",
      "author": "Braun",
      "year": "1996",
      "journal-title": "J. Phys. B"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib173",
      "doi-asserted-by": "crossref",
      "first-page": "5299",
      "DOI": "10.1103/PhysRevA.54.5299",
      "article-title": "Multilevel quantum beats: an analytical approach",
      "volume": "54",
      "author": "Leichtle",
      "year": "1996",
      "journal-title": "Phys. Rev. A"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib174",
      "doi-asserted-by": "crossref",
      "first-page": "1",
      "DOI": "10.1016/j.physrep.2003.11.002",
      "article-title": "Quantum wave packet revivals",
      "volume": "392",
      "author": "Robinett",
      "year": "2004",
      "journal-title": "Phys. Rep."
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib175",
      "doi-asserted-by": "crossref",
      "first-page": "L145",
      "DOI": "10.1088/0953-4075/39/7/L01",
      "article-title": "Saturation of fidelity in the atom-optics kicked rotor",
      "volume": "39",
      "author": "Wimberger",
      "year": "2006",
      "journal-title": "J. Phys. B: At. Mol. Opt. Phys."
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib176",
      "doi-asserted-by": "crossref",
      "first-page": "729",
      "DOI": "10.1209/epl/i2003-00289-y",
      "article-title": "Anomalous power law of quantum reversibility for classically regular systems",
      "volume": "61",
      "author": "Jacquod",
      "year": "2003",
      "journal-title": "Europhys. Lett."
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib177",
      "doi-asserted-by": "crossref",
      "first-page": "032103",
      "DOI": "10.1103/PhysRevA.71.032103",
      "article-title": "Generation of entanglement in regular systems",
      "volume": "71",
      "author": "\u017dnidari\u010d",
      "year": "2005",
      "journal-title": "Phys. Rev. A"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib178",
      "doi-asserted-by": "crossref",
      "first-page": "1516",
      "DOI": "10.1103/PhysRevD.24.1516",
      "article-title": "Pointer basis of quantum apparatus: into what mixture does the wave packet collapse?",
      "volume": "24",
      "author": "Zurek",
      "year": "1981",
      "journal-title": "Phys. Rev. D"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib179",
      "doi-asserted-by": "crossref",
      "first-page": "219903(E)",
      "DOI": "10.1103/PhysRevLett.93.219903",
      "article-title": "Erratum: semiclassical time evolution of the reduced density matrix and dynamically assisted generation of entanglement for bipartite quantum systems [Phys. Rev. Lett. 92, 150403 (2004)]",
      "volume": "93",
      "author": "Jacquod",
      "year": "2004",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib180",
      "doi-asserted-by": "crossref",
      "first-page": "807",
      "DOI": "10.1007/BF01491891",
      "article-title": "Die gegenwartige situation in der quentenmechanik",
      "volume": "23",
      "author": "Schr\u00f6dinger",
      "year": "1935",
      "journal-title": "Naturwissenschaften"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib181",
      "doi-asserted-by": "crossref",
      "first-page": "306",
      "DOI": "10.1088/1464-4266/7/9/012",
      "article-title": "Decoherence in regular systems",
      "volume": "7",
      "author": "\u017dnidari\u010d",
      "year": "2005",
      "journal-title": "J. Opt. B Quantum Semiclass. Opt."
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib182",
      "doi-asserted-by": "crossref",
      "first-page": "2913",
      "DOI": "10.1103/PhysRevLett.86.2913",
      "article-title": "Universality of decoherence",
      "volume": "86",
      "author": "Braun",
      "year": "2001",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib183",
      "doi-asserted-by": "crossref",
      "first-page": "022101",
      "DOI": "10.1103/PhysRevA.67.022101",
      "article-title": "Universality of decoherence for macroscopic quantum superpositions",
      "volume": "67",
      "author": "Strunz",
      "year": "2003",
      "journal-title": "Phys. Rev. A"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib184",
      "doi-asserted-by": "crossref",
      "first-page": "022102",
      "DOI": "10.1103/PhysRevA.67.022102",
      "article-title": "Decoherence scenarios from microscopic to macroscopic superpositions",
      "volume": "67",
      "author": "Strunz",
      "year": "2003",
      "journal-title": "Phys. Rev. A"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib185",
      "doi-asserted-by": "crossref",
      "first-page": "066216",
      "DOI": "10.1103/PhysRevE.70.066216",
      "article-title": "Global entangling properties of the coupled kicked tops",
      "volume": "70",
      "author": "Demkowicz-Dobrza\u0144ski",
      "year": "2004",
      "journal-title": "Phys. Rev. E"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib186",
      "doi-asserted-by": "crossref",
      "first-page": "026225",
      "DOI": "10.1103/PhysRevE.72.026225",
      "article-title": "Decoherence by a chaotic many-spin bath",
      "volume": "72",
      "author": "Lages",
      "year": "2005",
      "journal-title": "Phys. Rev. E"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib187",
      "doi-asserted-by": "crossref",
      "first-page": "221",
      "DOI": "10.1103/RevModPhys.50.221",
      "article-title": "General properties of entropy",
      "volume": "50",
      "author": "Wehrl",
      "year": "1978",
      "journal-title": "Rev. Mod. Phys."
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib188",
      "doi-asserted-by": "crossref",
      "first-page": "050420",
      "DOI": "10.1103/PhysRevLett.90.050402",
      "article-title": "When is quantum decoherence dynamics classical?",
      "volume": "90",
      "author": "Gong",
      "year": "2003",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib189",
      "doi-asserted-by": "crossref",
      "first-page": "022101",
      "DOI": "10.1103/PhysRevA.68.022101",
      "article-title": "Intrinsic decoherence dynamics in smooth hamiltonian systems: quantum-classical correspondence",
      "volume": "68",
      "author": "Gong",
      "year": "2003",
      "journal-title": "Phys. Rev. A"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib190",
      "doi-asserted-by": "crossref",
      "first-page": "062103",
      "DOI": "10.1103/PhysRevA.68.062103",
      "article-title": "Chaos and quantum-classical correspondence via phase-space distribution functions",
      "volume": "68",
      "author": "Gong",
      "year": "2003",
      "journal-title": "Phys. Rev. A"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib191",
      "doi-asserted-by": "crossref",
      "first-page": "458",
      "DOI": "10.1016/j.physa.2004.03.015",
      "article-title": "Quantum linear mutual information and classical correlations in globally pure bipartite systems",
      "volume": "338",
      "author": "Angelo",
      "year": "2004",
      "journal-title": "Physica A"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib192",
      "doi-asserted-by": "crossref",
      "first-page": "360",
      "DOI": "10.1016/0167-2789(83)90232-4",
      "article-title": "Long time correlations in the stochastic regime",
      "volume": "8",
      "author": "Karney",
      "year": "1983",
      "journal-title": "Physica D"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib193",
      "doi-asserted-by": "crossref",
      "first-page": "395",
      "DOI": "10.1016/0167-2789(84)90140-4",
      "article-title": "Correlation properties of dynamical chaos in hamiltonian systems",
      "volume": "13",
      "author": "Chirikov",
      "year": "1984",
      "journal-title": "Physica D"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib194",
      "first-page": "3300",
      "volume": "76",
      "author": "Ruffo",
      "year": "1996",
      "journal-title": "Universal diffusion near the golden chaos border"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib195",
      "doi-asserted-by": "crossref",
      "first-page": "214101",
      "DOI": "10.1103/PhysRevLett.89.214101",
      "article-title": "Border between regular and chaotic quantum dynamics",
      "volume": "89",
      "author": "Weinstein",
      "year": "2002",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib196",
      "doi-asserted-by": "crossref",
      "first-page": "025202",
      "DOI": "10.1103/PhysRevE.72.025202",
      "article-title": "Classical Loschmidt echo in chaotic many-body systems",
      "volume": "72",
      "author": "Veble",
      "year": "2005",
      "journal-title": "Phys. Rev. E"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib197",
      "doi-asserted-by": "crossref",
      "first-page": "1471",
      "DOI": "10.1088/0951-7715/19/6/013",
      "article-title": "Quantum classical correspondence on compact phase space",
      "volume": "19",
      "author": "Horvat",
      "year": "2006",
      "journal-title": "Nonlinearity"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib198",
      "first-page": "197",
      "volume": "19",
      "author": "Oseledec",
      "year": "1968",
      "journal-title": "Trans. Mosc. Math. Soc."
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib199",
      "doi-asserted-by": "crossref",
      "first-page": "4729",
      "DOI": "10.1103/PhysRevLett.83.4729",
      "article-title": "Mixing property of triangular billiards",
      "volume": "83",
      "author": "Casati",
      "year": "1999",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib200",
      "doi-asserted-by": "crossref",
      "first-page": "4261",
      "DOI": "10.1103/PhysRevLett.85.4261",
      "article-title": "Triangle map: a model of quantum chaos",
      "volume": "85",
      "author": "Casati",
      "year": "2000",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib201",
      "doi-asserted-by": "crossref",
      "first-page": "114101",
      "DOI": "10.1103/PhysRevLett.94.114101",
      "article-title": "Universal decay of the classical Loschmidt echo of neutrally stable but mixing dynamics",
      "volume": "94",
      "author": "Casati",
      "year": "2005",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib202",
      "doi-asserted-by": "crossref",
      "first-page": "4951",
      "DOI": "10.1103/PhysRevLett.82.4951",
      "article-title": "Quantum dissipation due to the interaction with chaotic degrees of freedom and the correspondence principle",
      "volume": "82",
      "author": "Cohen",
      "year": "1999",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib203",
      "doi-asserted-by": "crossref",
      "first-page": "4839",
      "DOI": "10.1103/PhysRevLett.85.4839",
      "article-title": "Quantum-mechanical nonperturbative response of driven chaotic mesoscopic systems",
      "volume": "85",
      "author": "Cohen",
      "year": "2000",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib204",
      "first-page": "046209",
      "article-title": "Quantum irreversibility",
      "volume": "66",
      "author": "Wisniacki",
      "year": "2002",
      "journal-title": "and the parametric theory of the local density of states, Phys. Rev. E"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib205",
      "unstructured": "W. Wang, G. Casati, private communication, preprint, 2006."
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib206",
      "doi-asserted-by": "crossref",
      "first-page": "838",
      "DOI": "10.1103/PhysRevLett.77.838",
      "article-title": "Quantum chaos in terms of entropy for a periodically kicked top",
      "volume": "77",
      "author": "Alicki",
      "year": "1996",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib207",
      "doi-asserted-by": "crossref",
      "first-page": "1542",
      "DOI": "10.1103/PhysRevE.60.1542",
      "article-title": "Signatures of chaos in the entanglement of two kicked tops",
      "volume": "60",
      "author": "Miller",
      "year": "1999",
      "journal-title": "Phys. Rev. E"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib208",
      "series-title": "Quantum Optics in Phase Space",
      "author": "Schleich",
      "year": "2001"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib209",
      "doi-asserted-by": "crossref",
      "first-page": "2889",
      "DOI": "10.1103/PhysRevA.24.2889",
      "article-title": "Relation between atomic coherent-state representation",
      "volume": "24",
      "author": "Agarwal",
      "year": "1981",
      "journal-title": "and generalized phase-space distributions, Phys. Rev. A"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib210",
      "doi-asserted-by": "crossref",
      "first-page": "4015",
      "DOI": "10.1088/0305-4470/36/14/307",
      "article-title": "Wigner function statistics in classically chaotic systems",
      "volume": "36",
      "author": "Horvat",
      "year": "2003",
      "journal-title": "J. Phys. A"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib211",
      "doi-asserted-by": "crossref",
      "first-page": "3571",
      "DOI": "10.1103/PhysRevA.47.3571",
      "article-title": "Universal and nonuniversal statistical properties of levels and intensities for chaotic Rydberg molecules",
      "volume": "47",
      "author": "Lombardi",
      "year": "1993",
      "journal-title": "Phys. Rev. A"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib212",
      "doi-asserted-by": "crossref",
      "first-page": "89",
      "DOI": "10.1109/PROC.1963.1664",
      "article-title": "Comparison of quantum and semiclassical radiation theory with application to the beam maser",
      "volume": "51",
      "author": "Jaynes",
      "year": "1963",
      "journal-title": "Proc. IEEE"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib213",
      "doi-asserted-by": "crossref",
      "first-page": "379",
      "DOI": "10.1103/PhysRev.170.379",
      "article-title": "Exact solution for an n-molecule-radiation-field hamiltonian",
      "volume": "170",
      "author": "Tavis",
      "year": "1968",
      "journal-title": "Phys. Rev."
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib214",
      "doi-asserted-by": "crossref",
      "first-page": "712",
      "DOI": "10.1038/35089017",
      "article-title": "Sub-Planck structure in phase space and its relevance for quantum decoherence",
      "volume": "412",
      "author": "Zurek",
      "year": "2001",
      "journal-title": "Nature"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib215",
      "doi-asserted-by": "crossref",
      "first-page": "154103",
      "DOI": "10.1103/PhysRevLett.89.154103",
      "article-title": "Decay of the Loschmidt echo for quantum states with sub-Planck-scale structures",
      "volume": "89",
      "author": "Jacquod",
      "year": "2002",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib216",
      "unstructured": "A. Jordan, M. Srednicki, Sub-Planck structure, decoherence, and many-body environments, preprint quant-ph/0112139, 2001."
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib217",
      "doi-asserted-by": "crossref",
      "first-page": "733",
      "DOI": "10.1103/RevModPhys.68.733",
      "article-title": "Quantum computation and Shor's factoring algorithm",
      "volume": "68",
      "author": "Ekert",
      "year": "1996",
      "journal-title": "Rev. Mod. Phys."
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib218",
      "doi-asserted-by": "crossref",
      "first-page": "117",
      "DOI": "10.1088/0034-4885/61/2/002",
      "article-title": "Quantum computing",
      "volume": "61",
      "author": "Steane",
      "year": "1998",
      "journal-title": "Rep. Prog. Phys."
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib219",
      "unstructured": "D.B.A. Ekert, A. Zeilinger, The Physics of Quantum Information, Springer, Berlin, 2000."
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib220",
      "doi-asserted-by": "crossref",
      "first-page": "2605",
      "DOI": "10.1103/PhysRevA.54.2605",
      "article-title": "Factoring in a dissipative quantum computer",
      "volume": "54",
      "author": "Miquel",
      "year": "1996",
      "journal-title": "Phys. Rev. A"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib221",
      "doi-asserted-by": "crossref",
      "first-page": "3971",
      "DOI": "10.1103/PhysRevLett.78.3971",
      "article-title": "Quantum computation with phase drift errors",
      "volume": "78",
      "author": "Miquel",
      "year": "1997",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib222",
      "doi-asserted-by": "crossref",
      "first-page": "R1",
      "DOI": "10.1103/PhysRevA.57.R1",
      "article-title": "Qubit-qubit interaction in quantum computers",
      "volume": "57",
      "author": "Gea-Banacloche",
      "year": "1998",
      "journal-title": "Phys. Rev. A"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib223",
      "doi-asserted-by": "crossref",
      "first-page": "185",
      "DOI": "10.1103/PhysRevA.60.185",
      "article-title": "Qubit-qubit interaction in quantum computers. II. Adder algorithm with diagonal and off-diagonal interactions",
      "volume": "60",
      "author": "Gea-Banacloche",
      "year": "1999",
      "journal-title": "Phys. Rev. A"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib224",
      "doi-asserted-by": "crossref",
      "first-page": "3504",
      "DOI": "10.1103/PhysRevE.62.3504",
      "article-title": "Quantum chaos border for quantum computing",
      "volume": "62",
      "author": "Georgeot",
      "year": "2000",
      "journal-title": "Phys. Rev. E"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib225",
      "doi-asserted-by": "crossref",
      "first-page": "6366",
      "DOI": "10.1103/PhysRevE.62.6366",
      "article-title": "Emergence of quantum chaos in the quantum computer core and how to manage it",
      "volume": "62",
      "author": "Georgeot",
      "year": "2000",
      "journal-title": "Phys. Rev. E"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib226",
      "doi-asserted-by": "crossref",
      "first-page": "293",
      "DOI": "10.1140/epjd/e2002-00127-x",
      "article-title": "Eigenstates of an operating quantum computer: hypersensitivity to static imperfection",
      "volume": "20",
      "author": "Benenti",
      "year": "2002",
      "journal-title": "Eur. Phys. J. D"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib227",
      "doi-asserted-by": "crossref",
      "first-page": "285",
      "DOI": "10.1140/epjd/e2002-00241-9",
      "article-title": "Statistical properties of eigenvalues for an operating quantum computer with static imperfections",
      "volume": "22",
      "author": "Benenti",
      "year": "2003",
      "journal-title": "Eur. Phys. J. D"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib228",
      "doi-asserted-by": "crossref",
      "first-page": "3932",
      "DOI": "10.1142/S0217979203021927",
      "article-title": "Stability of quantum computation in the presence of imperfections",
      "volume": "17",
      "author": "Benenti",
      "year": "2003",
      "journal-title": "Int. J. Mod. Phys. B"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib229",
      "doi-asserted-by": "crossref",
      "first-page": "489",
      "DOI": "10.1071/PH99091",
      "article-title": "Time dynamics in chaotic many-body systems: can chaos destroy a quantum computer?",
      "volume": "53",
      "author": "Flambaum",
      "year": "2000",
      "journal-title": "Aust. J. Phys."
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib230",
      "unstructured": "J. Flores, S. Kun, T.H. Seligman, Meltdown in quantum computers needs not occur: nuclear experiments show a way out, preprint quant-ph/0502050, 2005."
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib231",
      "doi-asserted-by": "crossref",
      "first-page": "227901",
      "DOI": "10.1103/PhysRevLett.87.227901",
      "article-title": "Efficient quantum computing of complex dynamics",
      "volume": "87",
      "author": "Benenti",
      "year": "2001",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "issue": "4",
      "key": "10.1016/j.physrep.2006.09.003_bib232",
      "doi-asserted-by": "crossref",
      "first-page": "046220",
      "DOI": "10.1103/PhysRevE.67.046220",
      "article-title": "Quantum computing of quantum chaos in the kicked rotator model",
      "volume": "67",
      "author": "Levi",
      "year": "2003",
      "journal-title": "Phys. Rev. E"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib233",
      "doi-asserted-by": "crossref",
      "first-page": "257902",
      "DOI": "10.1103/PhysRevLett.90.257902",
      "article-title": "Imperfection effects for multiple application of the quantum wavelet transform",
      "volume": "90",
      "author": "Terraneo",
      "year": "2003",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib234",
      "doi-asserted-by": "crossref",
      "first-page": "153",
      "DOI": "10.1140/epjd/e2004-00196-9",
      "article-title": "Quantum error correction of coherent errors by randomization",
      "volume": "32",
      "author": "Kern",
      "year": "2005",
      "journal-title": "Eur. Phys. J. D"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib235",
      "doi-asserted-by": "crossref",
      "first-page": "250501",
      "DOI": "10.1103/PhysRevLett.95.250501",
      "article-title": "Controlling quantum systems by embedded dynamical decoupling schemes",
      "volume": "95",
      "author": "Kern",
      "year": "2005",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib236",
      "doi-asserted-by": "crossref",
      "first-page": "056226",
      "DOI": "10.1103/PhysRevE.64.056226",
      "article-title": "Delocalization border and onset of chaos in a model of quantum computation",
      "volume": "64",
      "author": "Berman",
      "year": "2001",
      "journal-title": "Phys. Rev. E"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib237",
      "doi-asserted-by": "crossref",
      "first-page": "056206",
      "DOI": "10.1103/PhysRevE.66.056206",
      "article-title": "Dynamical fidelity of a solid-state quantum computation",
      "volume": "66",
      "author": "Berman",
      "year": "2002",
      "journal-title": "Phys. Rev. E"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib238",
      "doi-asserted-by": "crossref",
      "first-page": "015204(R)",
      "DOI": "10.1103/PhysRevE.65.015204",
      "article-title": "Avoiding quantum chaos in quantum computation",
      "volume": "65",
      "author": "Berman",
      "year": "2002",
      "journal-title": "Phys. Rev. E"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib239",
      "doi-asserted-by": "crossref",
      "first-page": "441",
      "DOI": "10.1142/S0219749905001122",
      "article-title": "Stability of the quantum Fourier transformation on the Ising quantum computer",
      "volume": "3",
      "author": "Celardo",
      "year": "2005",
      "journal-title": "Int. J. Quant. Inform."
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib240",
      "doi-asserted-by": "crossref",
      "first-page": "052317",
      "DOI": "10.1103/PhysRevA.69.052317",
      "article-title": "Entanglement echoes in quantum computation",
      "volume": "69",
      "author": "Rossini",
      "year": "2004",
      "journal-title": "Phys. Rev. A"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib241",
      "doi-asserted-by": "crossref",
      "first-page": "042310",
      "DOI": "10.1103/PhysRevA.69.042310",
      "article-title": "A quantitative model for the effective decoherence of a quantum computer with imperfect unitary operations",
      "volume": "69",
      "author": "Bettelli",
      "year": "2004",
      "journal-title": "Phys. Rev. A"
    },
    {
      "issue": "4",
      "key": "10.1016/j.physrep.2006.09.003_bib242",
      "doi-asserted-by": "crossref",
      "first-page": "042301",
      "DOI": "10.1103/PhysRevA.67.042301",
      "article-title": "Effect of unitary noise on Grover's quantum search algorithm",
      "volume": "67",
      "author": "Shapira",
      "year": "2003",
      "journal-title": "Phys. Rev. E"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib243",
      "doi-asserted-by": "crossref",
      "first-page": "032314",
      "DOI": "10.1103/PhysRevA.69.032314",
      "article-title": "Unification of dynamical decoupling and the quantum Zeno effect",
      "volume": "69",
      "author": "Facchi",
      "year": "2004",
      "journal-title": "Phys. Rev. A"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib244",
      "doi-asserted-by": "crossref",
      "first-page": "2733",
      "DOI": "10.1103/PhysRevA.58.2733",
      "article-title": "Dynamical suppression of decoherence in two-state quantum systems",
      "volume": "58",
      "author": "Viola",
      "year": "1998",
      "journal-title": "Phys. Rev. A"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib245",
      "doi-asserted-by": "crossref",
      "first-page": "022302",
      "DOI": "10.1103/PhysRevA.71.022302",
      "article-title": "Control of decoherence: analysis and comparison of three different strategies",
      "volume": "71",
      "author": "Facchi",
      "year": "2005",
      "journal-title": "Phys. Rev. A"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib246",
      "doi-asserted-by": "crossref",
      "first-page": "R2493",
      "DOI": "10.1103/PhysRevA.52.R2493",
      "article-title": "Scheme for reducing decoherence in quantum computer memory",
      "volume": "52",
      "author": "Shor",
      "year": "1995",
      "journal-title": "Phys. Rev. A"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib247",
      "doi-asserted-by": "crossref",
      "first-page": "1098",
      "DOI": "10.1103/PhysRevA.54.1098",
      "article-title": "Good quantum error-correcting codes exist",
      "volume": "54",
      "author": "Calderbank",
      "year": "1996",
      "journal-title": "Phys. Rev. A"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib248",
      "doi-asserted-by": "crossref",
      "first-page": "793",
      "DOI": "10.1103/PhysRevLett.77.793",
      "article-title": "Error correcting codes in quantum theory",
      "volume": "77",
      "author": "Steane",
      "year": "1996",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib249",
      "first-page": "2551",
      "article-title": "Multiple particle interference and quantum error correction",
      "volume": "452",
      "author": "Steane",
      "year": "1996",
      "journal-title": "Philos. Trans. R. Soc. A"
    },
    {
      "issue": "6",
      "key": "10.1016/j.physrep.2006.09.003_bib250",
      "doi-asserted-by": "crossref",
      "first-page": "062313",
      "DOI": "10.1103/PhysRevA.69.062313",
      "article-title": "Quantum error correction against correlated noise",
      "volume": "69",
      "author": "Clemens",
      "year": "2004",
      "journal-title": "Phys. Rev. A"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib251",
      "doi-asserted-by": "crossref",
      "first-page": "5192",
      "DOI": "10.1103/PhysRevLett.86.5192",
      "article-title": "Limits to error correction in quantum chaos",
      "volume": "89",
      "author": "Silvestrov",
      "year": "2001",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib252",
      "doi-asserted-by": "crossref",
      "first-page": "3306",
      "DOI": "10.1103/PhysRevLett.79.3306",
      "article-title": "Noiseless quantum codes",
      "volume": "79",
      "author": "Zanardi",
      "year": "1997",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib253",
      "doi-asserted-by": "crossref",
      "first-page": "737",
      "DOI": "10.1103/PhysRevA.57.737",
      "article-title": "Reducing decoherence in quantum-computer memory with all quantum bits coupling to the same environment",
      "volume": "57",
      "author": "Duan",
      "year": "1998",
      "journal-title": "Phys. Rev. A"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib254",
      "doi-asserted-by": "crossref",
      "first-page": "022306",
      "DOI": "10.1103/PhysRevA.63.022306",
      "article-title": "Decoherence-free subspaces for multiple-qubit errors. I. Characterization",
      "volume": "63",
      "author": "Lidar",
      "year": "2001",
      "journal-title": "Phys. Rev. A"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib255",
      "doi-asserted-by": "crossref",
      "first-page": "022307",
      "DOI": "10.1103/PhysRevA.63.022307",
      "article-title": "Decoherence-free subspaces for multiple-qubit errors. II. Universal, fault-tolerant quantum computation",
      "volume": "63",
      "author": "Lidar",
      "year": "2001",
      "journal-title": "Phys. Rev. A"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib256",
      "unstructured": "E. Farhi, J. Goldstone, S. Gutmann, M. Sipser, Quantum computation by adiabatic evolution, preprint quant-ph/0001106, 2000."
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib257",
      "doi-asserted-by": "crossref",
      "first-page": "472",
      "DOI": "10.1126/science.1057726",
      "article-title": "A quantum adiabatic evolution algorithm applied to random instances of an NP-complete problem",
      "volume": "292",
      "author": "Farhi",
      "year": "2001",
      "journal-title": "Science"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib258",
      "doi-asserted-by": "crossref",
      "first-page": "94",
      "DOI": "10.1016/S0375-9601(99)00803-8",
      "article-title": "Holonomic quantum computation",
      "volume": "264",
      "author": "Zanardi",
      "year": "1999",
      "journal-title": "Phys. Lett. A"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib259",
      "doi-asserted-by": "crossref",
      "first-page": "391",
      "DOI": "10.1016/j.physleta.2003.08.011",
      "article-title": "Stability of holonomic quantum computations",
      "volume": "316",
      "author": "Kuvshinov",
      "year": "2003",
      "journal-title": "Phys. Lett. A"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib260",
      "doi-asserted-by": "crossref",
      "first-page": "022336",
      "DOI": "10.1103/PhysRevA.73.022336",
      "article-title": "Fidelity of holonomic quantum computations in the case of random errors in the values of control parameters",
      "volume": "73",
      "author": "Buividovich",
      "year": "2006",
      "journal-title": "Phys. Rev. A"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib261",
      "doi-asserted-by": "crossref",
      "first-page": "052305",
      "DOI": "10.1103/PhysRevA.73.052305",
      "article-title": "Decoherence induced by squeezing control errors in optical and ion trap holonomic quantum computations",
      "volume": "73",
      "author": "Kuvshinov",
      "year": "2006",
      "journal-title": "Phys. Rev. A"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib262",
      "series-title": "Proceedings of the 35th Symposium on Foundations of Computer Science",
      "first-page": "124",
      "article-title": "Algorithms for quantum computation: discrete logarithms and factoring",
      "author": "Shor",
      "year": "1994"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib263",
      "unstructured": "D. Coppersmith, An approximate Fourier transform useful in quantum factoring, IBM Research Report RC 19642, 1994."
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib264",
      "doi-asserted-by": "crossref",
      "first-page": "3569",
      "DOI": "10.1088/0305-4470/36/12/340",
      "article-title": "Review of the k-body embedded ensembles of Gaussian random matrices",
      "volume": "36",
      "author": "Benet",
      "year": "2003",
      "journal-title": "J. Phys. A"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib265",
      "doi-asserted-by": "crossref",
      "first-page": "037901",
      "DOI": "10.1103/PhysRevLett.90.037901",
      "article-title": "Robust dynamical decoupling of quantum systems with bounded controls",
      "volume": "90",
      "author": "Viola",
      "year": "2003",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib266",
      "doi-asserted-by": "crossref",
      "first-page": "062303",
      "DOI": "10.1103/PhysRevA.72.062303",
      "article-title": "Dynamical control of qubit coherence: random versus deterministic schemes",
      "volume": "72",
      "author": "Santos",
      "year": "2005",
      "journal-title": "Phys. Rev. A"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib267",
      "doi-asserted-by": "crossref",
      "first-page": "51",
      "DOI": "10.1142/S0219749903000085",
      "article-title": "Method for implementation of universal quantum logic gates in a scalable Ising spin quantum computer",
      "volume": "1",
      "author": "Berman",
      "year": "2003",
      "journal-title": "Int. J. Quant. Inform."
    },
    {
      "issue": "9",
      "key": "10.1016/j.physrep.2006.09.003_bib268",
      "doi-asserted-by": "crossref",
      "first-page": "1324",
      "DOI": "10.1103/PhysRevLett.80.1324",
      "article-title": "First direct measurement of the spin diffusion rate in a homogenous solid",
      "volume": "80",
      "author": "Zhang",
      "year": "1998",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib269",
      "doi-asserted-by": "crossref",
      "first-page": "7313",
      "DOI": "10.1063/1.1792575",
      "article-title": "NMR polarization echoes in a nematic liquid crystal",
      "volume": "121",
      "author": "Levstein",
      "year": "2004",
      "journal-title": "J. Chem. Phys."
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib270",
      "doi-asserted-by": "crossref",
      "first-page": "157902",
      "DOI": "10.1103/PhysRevLett.89.157902",
      "article-title": "Experimental implementation of the quantum Baker's map",
      "volume": "89",
      "author": "Weinstein",
      "year": "2002",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib271",
      "doi-asserted-by": "crossref",
      "first-page": "250502",
      "DOI": "10.1103/PhysRevLett.95.250502",
      "article-title": "Characterization of complex quantum dynamics with a scalable NMR information processor",
      "volume": "95",
      "author": "Ryan",
      "year": "2005",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib272",
      "unstructured": "K. Schaadt, A.P.B. Tufaile, C. Ellegaard, Chaotic sound waves in a regular billiard, Phys. Rev. E 67 (2003) 026213:1\u20137."
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib273",
      "series-title": "Decoherence and the Appearence of a Classical World in Quantum Theory",
      "author": "Giulini",
      "year": "1996"
    },
    {
      "issue": "24",
      "key": "10.1016/j.physrep.2006.09.003_bib274",
      "doi-asserted-by": "crossref",
      "first-page": "4887",
      "DOI": "10.1103/PhysRevLett.77.4887",
      "article-title": "Observing the progressive decoherence of the \u201cmeter\u201d in a quantum measurement",
      "volume": "77",
      "author": "Brune",
      "year": "1996",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "issue": "25",
      "key": "10.1016/j.physrep.2006.09.003_bib275",
      "doi-asserted-by": "crossref",
      "first-page": "4598",
      "DOI": "10.1103/PhysRevLett.75.4598",
      "article-title": "Atom optics realization of the quantum delta-kicked rotor",
      "volume": "75",
      "author": "Moore",
      "year": "1995",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib276",
      "doi-asserted-by": "crossref",
      "first-page": "43",
      "DOI": "10.1016/S1049-250X(08)60218-9",
      "volume": "41",
      "author": "Raimond",
      "year": "1999",
      "journal-title": "Adv. At., Mol., Opt. Phys."
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib277",
      "doi-asserted-by": "crossref",
      "unstructured": "M.B. d\u2019Arcy, R.M. Godun, M.K. Oberthaler, D. Cassettari, G.S. Summy, Quantum enhancement of momentum diffusion in the delta-kicked rotor, Phys. Rev. Lett. 87 (7) (2001) 074102:1\u20134.",
      "DOI": "10.1103/PhysRevLett.87.074102"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib278",
      "doi-asserted-by": "crossref",
      "unstructured": "M. Bienert, F. Haug, W.P. Schleich, M.G. Raizen, State reconstruction of the kicked rotor, Phys. Rev. Lett. 89 (5) (2002) 050403:1\u20134.",
      "DOI": "10.1103/PhysRevLett.89.050403"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib279",
      "unstructured": "M.B. d\u2019Arcy, R.M. Godun, D. Cassettari, G.S. Summy, Accelerator-mode-based technique for studying quantum chaos, Phys. Rev. A 67 (2003) 023605:1\u20134."
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib280",
      "doi-asserted-by": "crossref",
      "first-page": "023001",
      "DOI": "10.1103/PhysRevLett.90.023001",
      "article-title": "Echo spectroscopy and quantum stability of trapped atoms",
      "volume": "90",
      "author": "Andersen",
      "year": "2003",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib281",
      "doi-asserted-by": "crossref",
      "unstructured": "S. Kuhr, W. Alt, D. Schrader, I. Dotsenko, Y. Miroshnychenko, W. Rosenfeld, M. Khudaverdyan, V. Gomer, A. Rauschenbeutel, D. Meschede, Coherence properties and quantum state transportation in an optical conveyor belt, Phys. Rev. Lett. 91 (21) (2003) 213002:1\u20134.",
      "DOI": "10.1103/PhysRevLett.91.213002"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib282",
      "doi-asserted-by": "crossref",
      "first-page": "439",
      "DOI": "10.1023/A:1024018431394",
      "article-title": "Fidelity decay saturation level for initial eigenstates",
      "volume": "1",
      "author": "Weinstein",
      "year": "2003",
      "journal-title": "Quant. Inform. Process."
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib283",
      "doi-asserted-by": "crossref",
      "first-page": "2664",
      "DOI": "10.1103/PhysRevA.24.2664",
      "volume": "24",
      "author": "Cary",
      "year": "1981",
      "journal-title": "Phys. Rev. A"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib284",
      "unstructured": "B. Chirikov, Investigations on the theory of nonlinear resonances and stochasticity, Preprint 267, Institute of Nuclear Physics SOAN SSSR, Novosibirsk, (see also [295]) (1969)."
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib285",
      "series-title": "Elements of Quantum Optics",
      "author": "Meystre",
      "year": "1990"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib286",
      "doi-asserted-by": "crossref",
      "first-page": "381",
      "DOI": "10.1007/BF01303727",
      "article-title": "Classical and quantum chaos for a kicked top",
      "volume": "65",
      "author": "Haake",
      "year": "1987",
      "journal-title": "Z. Phys. B"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib287",
      "doi-asserted-by": "crossref",
      "first-page": "972",
      "DOI": "10.1103/PhysRevE.50.972",
      "article-title": "Hypersensitivity to perturbations in the quantum kicked top",
      "volume": "50",
      "author": "Schack",
      "year": "1994",
      "journal-title": "Phys. Rev. E"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib288",
      "doi-asserted-by": "crossref",
      "first-page": "2553",
      "DOI": "10.1103/PhysRevE.50.2553",
      "article-title": "Chaos and a quantum-classical correspondence in the kicked top",
      "volume": "50",
      "author": "Fox",
      "year": "1994",
      "journal-title": "Phys. Rev. E"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib289",
      "doi-asserted-by": "crossref",
      "first-page": "1781",
      "DOI": "10.1103/PhysRevA.59.1781",
      "article-title": "Sensitivity to measurement errors in quantum kicked top",
      "volume": "59",
      "author": "Breslin",
      "year": "1999",
      "journal-title": "Phys. Rev. A"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib290",
      "doi-asserted-by": "crossref",
      "first-page": "2883",
      "DOI": "10.1080/09500340008232203",
      "article-title": "Can the kicked top be realized?",
      "volume": "47",
      "author": "Haake",
      "year": "2000",
      "journal-title": "J. Mod. Opt."
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib291",
      "doi-asserted-by": "crossref",
      "first-page": "377",
      "DOI": "10.1016/0031-8914(67)90235-2",
      "volume": "36",
      "author": "Niemeijer",
      "year": "1967",
      "journal-title": "Physica"
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib292",
      "doi-asserted-by": "crossref",
      "first-page": "211",
      "DOI": "10.1016/0378-4371(77)90014-0",
      "volume": "87",
      "author": "Capel",
      "year": "1977",
      "journal-title": "Physica A"
    },
    {
      "issue": "Suppl.",
      "key": "10.1016/j.physrep.2006.09.003_bib293",
      "doi-asserted-by": "crossref",
      "first-page": "191",
      "DOI": "10.1143/PTPS.139.191",
      "volume": "139",
      "author": "Prosen",
      "year": "2000",
      "journal-title": "Prog. Theor. Phys."
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib294",
      "unstructured": "T. Gorin, T.H. Seligman, Signatures of the correlation hole in total and partial cross sections, Phys. Rev. E 65 (2002) 026214:1\u201318."
    },
    {
      "key": "10.1016/j.physrep.2006.09.003_bib295",
      "doi-asserted-by": "crossref",
      "first-page": "263",
      "DOI": "10.1016/0370-1573(79)90023-1",
      "article-title": "A universal instability of many-dimensional oscillator systems",
      "volume": "52",
      "author": "Chirikov",
      "year": "1979",
      "journal-title": "Phys. Rep."
    }
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