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• W3100796739 abstract "We prove a lower bound on the relative entropy between two finite-dimensional states in terms of their entropy difference and the dimension of the underlying space. The inequality is tight in the sense that equality can be attained for any prescribed value of the entropy difference, both for quantum and classical systems. We outline implications for information theory and thermodynamics, such as a necessary condition for a process to be close to thermodynamic reversibility, or an easily computable lower bound on the classical channel capacity. Furthermore, we derive a tight upper bound, uniform for all states of a given dimension, on the variance of the surprisal, whose thermodynamic meaning is that of heat capacity." @default.
• W3100796739 created "2020-11-23" @default.
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• W3100796739 date "2015-03-01" @default.
• W3100796739 modified "2023-10-02" @default.
• W3100796739 title "Tight Bound on Relative Entropy by Entropy Difference" @default.
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• W3100796739 doi "https://doi.org/10.1109/tit.2014.2387822" @default.
• W3100796739 hasPublicationYear "2015" @default.
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