The Saturation of Several Universal Inequalities in Information-Processing*

DOI10.1088/0253-6102/63/4/427zbMATH Open1311.81067arXiv1209.5545OpenAlexW3104673700MaRDI QIDQ5251384

Lin Zhang, Jun-De Wu, Shao-Ming Fei

Publication date: 20 May 2015

Published in: Communications in Theoretical Physics (Search for Journal in Brave)

Abstract: In this paper, we characterize the saturation of four universal inequalities in quantum information theory, including a variant version of strong subadditivity inequality for von Neumann entropy, the coherent information inequality, the Holevo quantity and average entropy inequalities. These results shed new light on quantum information inequalities.

Full work available at URL: https://arxiv.org/abs/1209.5545

zbMATH Keywords

quantum channelstrong subadditivitycoherent informationHolevo quantity

Mathematics Subject Classification ID

Functional inequalities, including subadditivity, convexity, etc. (39B62) Measures of information, entropy (94A17) Channel models (including quantum) in information and communication theory (94A40) Quantum information, communication, networks (quantum-theoretic aspects) (81P45)

Related Items (1)

Universality and optimality in the information-disturbance tradeoff

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