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The fact that the quantum relative entropy is non-increasing with respect to quantum physical evolutions lies at the core of many optimality theorems in quantum information theory and has applications in other areas of physics.
Information theoretical analysis of multivariate correlation
Satosi Watanabe · 1960
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Conditional expectations in an operator algebra IV (entropy and information)
Hisaharu Umegaki · 1962
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Bounds for the quantity of information transmitted by a quantum communication channel
Alexander S. Holevo · 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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Optimal distinction of non-orthogonal quantum signals
Viacheslav Belavkin · 1975
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Optimal multiple quantum statistical hypothesis testing
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Göran Lindblad · 1975
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Methods of Modern Mathematical Physics II: Fourier Analysis, Self-Adjointness
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J. Bergh and Jorgen Löfström · 1976
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Armin Uhlmann · 1976
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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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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
Dénes Petz · 1988
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Informationally coherent quantum systems
Ryszard Horodecki · 1994
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Classical information capacity of a quantum channel
Paul Hausladen, Richard Jozsa, Benjamin Schumacher, Michael Westmoreland, and William K. Wootters · 1996
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Einselection and decoherence from an information theory perspective
Wojciech H. Zurek · 2000
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Quantum discord: A measure of the quantumness of correlations
Harold Ollivier and Wojciech H. Zurek · 2001
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Patrick Hayden, Richard Jozsa, Denes Petz, and Andreas Winter · 2004
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Structure of sufficient quantum coarse-grainings
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