Convergence conditions for the quantum relative entropy and other applications of the deneralized quantum Dini lemma

DOI10.1134/S1995080222100353WikidataQ124817285 ScholiaQ124817285MaRDI QIDQ2095874

M. E. Shirokov

Publication date: 15 November 2022

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2205.09108

zbMATH Keywords

mutual informationlower semicontinuous functionvon Neumann entropyquantum statequantum channelcoherent informationlocally almost affine function

Mathematics Subject Classification ID

Measures of information, entropy (94A17) Foundations, quantum information and its processing, quantum axioms, and philosophy (81Pxx) Quantum theory (81-XX)

Cites Work

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• Entanglement-assisted capacity of a quantum channel and the reverse Shannon theorem
• Strong convergence of quantum channels: Continuity of the Stinespring dilation and discontinuity of the unitary dilation
• Entropy reduction of quantum measurements
• Quantum Information Theory
• Operator Theory

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