Entropy Uncertainty Relations and Strong Sub-additivity of Quantum Channels
arXiv (Cornell University)(2023)
摘要
We prove an entropic uncertainty relation for two quantum channels, extending the work of Frank and Lieb for quantum measurements. This is obtained via a generalized strong super-additivity (SSA) of quantum entropy. Motivated by Petz's algebraic SSA inequality, we also obtain a generalized SSA for quantum relative entropy. As a special case, it gives an improved data processing inequality.
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关键词
quantum
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