Continuity bounds on the quantum relative entropy — II

DOI10.1063/1.3657929zbMath1272.81026arXiv1105.2656OpenAlexW3099252196WikidataQ57637229 ScholiaQ57637229MaRDI QIDQ2851793

Koenraad M. R. Audenaert, Jens Eisert

Publication date: 2 October 2013

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

Full work available at URL: https://arxiv.org/abs/1105.2656

Mathematics Subject Classification ID

Measures of information, entropy (94A17) Quantum information, communication, networks (quantum-theoretic aspects) (81P45) Quantum state spaces, operational and probabilistic concepts (81P16)

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Cites Work

• The proper formula for relative entropy and its asymptotics in quantum probability
• Regularization of quantum relative entropy in finite dimensions and application to entropy production
• Strong converse and Stein's lemma in quantum hypothesis testing
• Upper continuity bounds on the relative q-entropy for q > 1
• Conditional expectation in an operator algebra. IV. Entropy and information