Relating different quantum generalizations of the conditional Rényi entropy

DOI10.1063/1.4892761zbMath1300.81018arXiv1311.3887OpenAlexW2002420498WikidataQ59925554 ScholiaQ59925554MaRDI QIDQ3189934

Mario Berta, Masahito Hayashi, Marco Tomamichel

Publication date: 12 September 2014

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

Full work available at URL: https://arxiv.org/abs/1311.3887

Mathematics Subject Classification ID

Measures of information, entropy (94A17) Quantum information, communication, networks (quantum-theoretic aspects) (81P45) Open systems, reduced dynamics, master equations, decoherence (81S22)

Related Items (17)

Bipartite separability of symmetric \(N\)-qubit noisy states using conditional quantum relative Tsallis entropy ⋮ Quantum reverse hypercontractivity ⋮ A family of generalized quantum entropies: definition and properties ⋮ Quantum reverse hypercontractivity: its tensorization and application to strong converses ⋮ On variational expressions for quantum relative entropies ⋮ The strong converse exponent of discriminating infinite-dimensional quantum states ⋮ Coherence measures based on coherence eigenvalue and their applications ⋮ Operational interpretation of the sandwiched Rényi divergence of order 1/2 to 1 as strong converse exponents ⋮ Biseparability of noisy pseudopure, W and GHZ states using conditional quantum relative Tsallis entropy ⋮ Entropy accumulation ⋮ Decomposition rules for quantum Rényi mutual information with an application to information exclusion relations ⋮ Conditional entropic uncertainty relations for Tsallis entropies ⋮ Chain rules for quantum Rényi entropies ⋮ Rényi generalizations of the conditional quantum mutual information ⋮ Correlation detection and an operational interpretation of the Rényi mutual information ⋮ On the Projections of the Mutual Multifractal Renyi Dimensions ⋮ Investigating properties of a family of quantum Rényi divergences

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