The α → 1 limit of the sharp quantum Rényi divergence

DOI10.1063/5.0049791zbMath1500.81011arXiv2102.06576OpenAlexW3197214053MaRDI QIDQ5154269

Bjarne Bergh, Robert Salzmann, Nilanjana Datta

Publication date: 4 October 2021

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

Full work available at URL: https://arxiv.org/abs/2102.06576

zbMATH Keywords

Belavkin-Staszewski relative entropy.

Mathematics Subject Classification ID

Operator means involving linear operators, shorted linear operators, etc. (47A64) Quantum information, communication, networks (quantum-theoretic aspects) (81P45) Quantum entropies (81P17) Quantum channels, fidelity (81P47)

Cites Work

• Strong converse for the classical capacity of entanglement-breaking and Hadamard channels via a sandwiched Rényi relative entropy
• Quasi-entropies for finite quantum systems
• Means of positive linear operators
• Geometric Rényi divergence and its applications in quantum channel capacities
• A new quantum version of \(f\)-divergence
• Geometric distinguishability measures limit quantum channel estimation and discrimination
• Contraction of Generalized Relative Entropy Under Stochastic Mappings on Matrices
• A Fully Quantum Asymptotic Equipartition Property
• Different quantum f-divergences and the reversibility of quantum operations
• Monotonicity of a relative Rényi entropy
• On quantum Rényi entropies: A new generalization and some properties
• Quantum Information Processing with Finite Resources
• ON THE THEORY OF NON-LINEAR MINIMAX PROBLEMS
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