The sandwiched Rényi divergence and quantum positive evidence order in infinite-dimensional Hilbert space

DOI10.1016/S0034-4877(21)00068-9OpenAlexW3209158831MaRDI QIDQ2067416

Yuan Li, Shuhui Gao, Hongyan Hao

Publication date: 18 January 2022

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0034-4877(21)00068-9

zbMATH Keywords

partial ordersquantum statesquantum Rényi divergence

Mathematics Subject Classification ID

Quantum theory (81-XX) Relativity and gravitational theory (83-XX)

Related Items (1)

The strong converse exponent of discriminating infinite-dimensional quantum states

Cites Work

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• Some characterizations of the trace norm triangle equality
• Monotonicity of the quantum relative entropy under positive maps
• Rényi divergences as weighted non-commutative vector-valued \(L_p\)-spaces
• Quantum hypothesis testing and the operational interpretation of the quantum Rényi relative entropies
• Rényi relative entropies and noncommutative \(L_p\)-spaces
• Two theorems about \(C_p\)
• A Partial Order on Classical and Quantum States
• Ordering quantum states and channels based on positive Bayesian evidence
• Min- and Max-Relative Entropies and a New Entanglement Monotone
• On the Quantum Rényi Relative Entropies and Related Capacity Formulas
• Sandwiched Rényi divergence satisfies data processing inequality
• Monotonicity of a relative Rényi entropy
• On quantum Rényi entropies: A new generalization and some properties
• On Majorization, Factorization, and Range Inclusion of Operators on Hilbert Space
• Inequalities between the Two Kinds of Eigenvalues of a Linear Transformation

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