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The chain rule for the classical relative entropy ensures that the relative entropy between probability distributions on multipartite systems can be decomposed into a sum of relative entropies of suitably chosen conditional distributions on the individual systems.
Resource theory of asymmetric distinguishability for quantum channels, 2019
X. Wang and M. M. Wilde · 1907
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The Golden-Thompson trace inequality is complemented
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T. Ando and F. Hiai · 1994
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R. Bhatia · 1997
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R. Renner · 2005
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T. M. Cover and J. A. Thomas · 2006
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Memory effects in quantum channel discrimination
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Min- and max-relative entropies and a new entanglement monotone
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Perfect distinguishability of quantum operations
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Amortized channel divergence for asymptotic quantum channel discrimination, 2018
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Semidefinite approximations of the matrix logarithm
H. Fawzi, J. Saunderson, and P. A. Parrilo · 2018
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Approaches for approximate additivity of the Holevo information of quantum channels
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M. Tomamichel and M. Hayashi · 2013
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O. Fawzi and R. Renner · 2015
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M. Tomamichel · 2015
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R. Duan, C. Guo, C. Li, and Y. Li · 2016
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