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For quantum spin systems in any spatial dimension with a local, translation-invariant Hamiltonian, we prove that asymptotic state convertibility from a quantum state to another one by a thermodynamically feasible class of quantum dynamics, called thermal operations, is completely characterized by the Kullback-Leibler (KL) divergence rate, if the state is translation-invariant and spatially ergodic.
1907
Earlier work this paper cites.
1911
Earlier work this paper cites.
C. E. Shannon, A mathematical theory of communication, The Bell System Technical Journal 27
1948
Earlier work this paper cites.
A. Rényi, On measures of entropy and information, in Proceedings of the Fourth Berkeley Symposium on Mathematical Statistics and Probability, Vol. 1: Contributions to the Theory of Statistics (University of California Press, Berkeley, Calif., 1960) pp. 547–561
1960
Earlier work this paper cites.
D. Ruelle, Statistical mechanics of a one-dimensional lattice gas, Communications in Mathematical Physics 9
1968
Earlier work this paper cites.
H. Araki, Gibbs states of a one dimensional quantum lattice, Communications in Mathematical Physics 14
1969
Earlier work this paper cites.
J. M. Hammersley and P. E. Clifford, Markov field on finite graphs and lattices (1971)
1971
Earlier work this paper cites.
E. H. Lieb and M. B. Ruskai, Proof of the strong subadditivity of quantum-mechanical entropy, Journal of Mathematical Physics 14
1973
Earlier work this paper cites.
M. Fannes, A continuity property of the entropy density for spin lattice systems, Communications in Mathematical Physics 31
1973
Earlier work this paper cites.
H. Araki, On uniqueness of KMS states of one-dimensional quantum lattice systems, Communications in Mathematical Physics 44
1975
Earlier work this paper cites.
O. Bratteli and D. W. Robinson, Operator Algebras and Quantum Statistical Mechanics II: Equilibrium States. Models in Quantum Statistical Mechanics (Springer, Berlin, Heidelberg, 1981)
1981
Earlier work this paper cites.
H. B. Callen, Thermodynamics and an Introduction to Thermostatistics (Wiley, 1985)
1985
Earlier work this paper cites.
R. A. Horn and C. R. Johnson, Matrix Analysis (Cambridge University Press, New York, 1985)
1985
Earlier work this paper cites.
O. Bratteli and D. W. Robinson, Operator Algebras and Quantum Statistical Mechanics I: C*- and W*-Algebras. Symmetry Groups. Decomposition of States (Springer, Berlin, Heidelberg, 1987)
1987
Earlier work this paper cites.
P. H. Algoet and T. M. Cover, A sandwich proof of the Shannon-McMillan-Breiman theorem, The Annals of Probability 16
1988
Earlier work this paper cites.
J. L. Doob, Stochastic Processes , revised ed. (John Wiley & Sons Ltd, New York, 1990)
1990
Earlier work this paper cites.
F. Hiai and D. Petz, The proper formula for relative entropy and its asymptotics in quantum probability, Communications in Mathematical Physics 143
1991
Earlier work this paper cites.
E. H. Lieb and J. Yngvason, The physics and mathematics of the second law of thermodynamics, Physics Reports 310
1999
Earlier work this paper cites.
D. Ruelle, Statistical Mechanics: Rigorous Results (World Scientific, 1999)
1999
Earlier work this paper cites.
1999
Earlier work this paper cites.
C. A. Fuchs and J. van de Graaf, Cryptographic distinguishability measures for quantum-mechanical states, IEEE Transactions on Information Theory 45
1999
Earlier work this paper cites.
H. Nagaoka and T. Ogawa, Strong converse and Stein’s lemma in quantum hypothesis testing, IEEE Transactions on Information Theory 46
2000
Earlier work this paper cites.
T. S. Han, Hypothesis testing with the general source, IEEE Transactions on Information Theory 46
2000
Earlier work this paper cites.
M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, 2000)
2000
Earlier work this paper cites.
I. Bjelakovic and R. Siegmund-Schultze, Quantum Stein’s lemma revisited, inequalities for quantum entropies, and a concavity theorem of Lieb, ArXiv e-prints (2003), arXiv:quant-ph/0307170
2003
Earlier work this paper cites.
T. S. Han, Information-Spectrum Methods in Information Theory , Vol. 50 (Springer, Berlin, Heidelberg, 2003)
2003
Earlier work this paper cites.
I. Bjelaković, T. Krüger, R. Siegmund-Schultze, and A. Szkoła, The Shannon-McMillan theorem for ergodic quantum lattice systems, Inventiones mathematicae 155
2004
Earlier work this paper cites.
I. Bjelakovic and R. Siegmund-Schultze, An ergodic theorem for the quantum relative entropy, Communications in Mathematical Physics 247
2004
Earlier work this paper cites.
I. Bjelaković and A. Szkola, The data compression theorem for ergodic quantum information sources, Quantum Information Processing 4
2005
Earlier work this paper cites.
R. Renner, Security of Quantum Key Distribution , Ph.D. thesis , ETH Zürich (2005), arXiv:quant-ph/0512258
2005
Earlier work this paper cites.
V. P. Belavkin, G. M. D’Ariano, and M. Raginsky, Operational distance and fidelity for quantum channels, Journal of Mathematical Physics 46
2005
Cited alongside, same era.
M. Lenci and L. Rey-Bellet, Large deviations in quantum lattice systems: One-phase region, Journal of Statistical Physics 119
2005
Cited alongside, same era.
T. M. Cover and J. A. Thomas, Elements of Information Theory , 2nd ed. (Wiley, 2006)
2006
Cited alongside, same era.
G. Bowen and N. Datta, Beyond i.i.d. in quantum information theory, in IEEE International Symposium on Information Theory (ISIT) (IEEE, 2006) pp. 451–455, arXiv:quant-ph/0604013
2006
Cited alongside, same era.
2007
2014
Later among the works it cites.
J. Åberg, Catalytic coherence, Physical Review Letters 113
2014
Later among the works it cites.
2014
Later among the works it cites.
J. M. R. Parrondo, J. M. Horowitz, and T. Sagawa, Thermodynamics of information, Nature Physics 11
2015
Later among the works it cites.
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Cited alongside, same era.
H. Nagaoka and M. Hayashi, An information-spectrum approach to classical and quantum hypothesis testing for simple hypotheses, IEEE Transactions on Information Theory 53
2007
Cited alongside, same era.
2007
Cited alongside, same era.
S. Bartlett, T. Rudolph, and R. Spekkens, Reference frames, superselection rules, and quantum information, Reviews of Modern Physics 79
2007
Cited alongside, same era.
K. M. R. Audenaert, A sharp continuity estimate for the von Neumann entropy, Journal of Physics A: Mathematical and Theoretical 40
2007
Cited alongside, same era.
T. Ogawa and H. Nagaoka, Making good codes for classical-quantum channel coding via quantum hypothesis testing, IEEE Transactions on Information Theory 53
2007
Cited alongside, same era.
2007
Cited alongside, same era.
2009
Cited alongside, same era.
2015
Later among the works it cites.
R. B. Israel, Convexity in the theory of lattice gases (Princeton University Press, 2015)
2015
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2015
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2016
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2016
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2016
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2016
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A. Winter and D. Yang, Operational resource theory of coherence, Physical Review Letters 116
2016
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2016
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2017
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2018
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P. Faist and R. Renner, Fundamental work cost of quantum processes, Physical Review X 8
2018
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2018
Later among the works it cites.
F. Binder, L. A. Correa, C. Gogolin, J. Anders, and G. Adesso, eds., Thermodynamics in the Quantum Regime: Fundamental Aspects and New Directions , Fundamental Theories of Physics, Vol. 195 (Springer International Publishing, Cham, 2018)
2018
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2018
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2018
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2018
Later among the works it cites.
E. Chitambar and G. Gour, Quantum resource theories, Reviews of Modern Physics 91
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