Entropy reduction of quantum measurements

DOI10.1063/1.3589831zbMath1317.81016arXiv1011.3127OpenAlexW3099553964MaRDI QIDQ5265987

M. E. Shirokov

Publication date: 29 July 2015

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1011.3127

Mathematics Subject Classification ID

Quantum measurement theory, state operations, state preparations (81P15) Measures of information, entropy (94A17) Coding theorems (Shannon theory) (94A24)

Related Items (12)

Information capacity of a quantum observable ⋮ Correlation measures of a quantum state and information characteristics of a quantum channel ⋮ Information gain and systems entanglement in tripartite measurement model ⋮ Maximum information gain of approximate quantum position measurement ⋮ Conclusive discrimination by \(N\) sequential receivers between \(r\geqslant 2\) arbitrary quantum states ⋮ On the proof of the entanglement-assisted coding theorem for a quantum measurement channel ⋮ On dynamical properties of a one-parameter family of transformations arising in averaging of semigroups ⋮ On lower semicontinuity of the quantum conditional mutual information and its corollaries ⋮ Coding Theorems for Hybrid Channels. II ⋮ Convergence conditions for the quantum relative entropy and other applications of the deneralized quantum Dini lemma ⋮ On quantum channels generated by covariant positive operator-valued measures on a locally compact group ⋮ The information capacity of entanglement-assisted continuous variable quantum measurement

Cites Work

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• Complementary Channels and the Additivity Problem
• A bound on the mutual information, and properties of entropy reduction, for quantum channels with inefficient measurements
• Radon–Nikodym derivatives of quantum instruments

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