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A short quantum Markov chain is a tripartite state $\rho_{ABC}$ such that system $A$ can be recovered perfectly by acting on system $C$ of the reduced state $\rho_{BC}$.
Positive functions on C*-algebras
William F. Stinespring · 1955
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On measures of entropy and information
Alfréd Rényi · 1960
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Conditional expectations in an operator algebra IV (entropy and information)
Hisaharu Umegaki · 1962
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Remarks on two theorems of E. Lieb
H. Epstein · 1973
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A fundamental property of quantum-mechanical entropy
Elliott H. Lieb and Mary Beth Ruskai · 1973
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Proof of the strong subadditivity of quantum-mechanical entropy
Elliott H. Lieb and Mary Beth Ruskai · 1973
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A Schwarz inequality for positive linear maps on C ∗ C^{\ast} -algebras
Man-Duen Choi · 1974
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Completely positive maps and entropy inequalities
Göran Lindblad · 1975
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Relative entropy and the Wigner-Yanase-Dyson-Lieb concavity in an interpolation theory
Armin Uhlmann · 1977
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Entropy, Information and Structure of Composite Quantum States
Milán Mosonyi · 1979
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Transfer-matrix method and Monte Carlo simulation in quantum spin systems
Masuo Suzuki · 1985
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Quasi-entropies for finite quantum systems
Dénes Petz · 1986
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Sufficient subalgebras and the relative entropy of states of a von Neumann algebra
Dénes Petz · 1986
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Sufficiency of channels over von Neumann algebras
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Elements of Information Theory
Thomas M. Cover and Joy A. Thomas · 1991
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The proper formula for relative entropy and its asymptotics in quantum probability
Fumio Hiai and Dénes Petz · 1991
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Mathematical Statistics and Data Analysis
John A. Rice · 1994
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An Introduction to Probability Theory and its Applications
William Feller · 1997
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James R. Norris · 1997
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Inequalities for quantum entropy: A review with conditions for equality
Mary Beth Ruskai · 2002
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Structure of states which satisfy strong subadditivity of quantum entropy with equality
Patrick Hayden, Richard Jozsa, Dénes Petz, and Andreas Winter · 2004
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Structure of sufficient quantum coarse-grainings
Milán Mosonyi and Dénes Petz · 2004
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Renato Renner · 2005
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On quantum Rényi entropies: a new definition and some properties
Martin Müller-Lennert, Frédéric Dupuis, Oleg Szehr, Serge Fehr, and Marco Tomamichel · 2013
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Correlation detection and an operational interpretation of the Rényi mutual information
Masahito Hayashi and Marco Tomamichel · 2014
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Lin Zhang · 2014
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