Recoverability of quantum channels via hypothesis testing
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Publication:6123423
DOI10.1007/s11005-024-01775-2arXiv2303.11707OpenAlexW4391885612MaRDI QIDQ6123423
Publication date: 4 March 2024
Published in: Letters in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2303.11707
Noncommutative probability and statistics (46L53) Measures of information, entropy (94A17) Operator algebra methods applied to problems in quantum theory (81R15) Sufficient statistics and fields (62B05)
Cites Work
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- Quantum sufficiency in the operator algebra framework
- Quantum conditional mutual information and approximate Markov chains
- Multivariate trace inequalities
- Monotonicity of the quantum relative entropy under positive maps
- Structure of sufficient quantum coarse-grainings
- Mathematical theory of statistics. Statistical experiments and asymptotic decision theory
- Sufficient subalgebras and the relative entropy of states of a von Neumann algebra
- Completely positive maps and entropy inequalities
- Relative entropy and the Wigner-Yanase-Dyson-Lieb concavity in an interpolation theory
- A characterization of sufficiency by power functions
- Comparison of quantum binary experiments
- Universal recovery maps and approximate sufficiency of quantum relative entropy
- Approximate recovery and relative entropy. I: General von Neumann subalgebras
- Approximate recoverability and relative entropy. II: 2-positive channels of general von Neumann algebras
- Rényi relative entropies and noncommutative \(L_p\)-spaces. II
- Hilbert's metric and positive contraction mappings in a Banach space
- Data processing for the sandwiched Rényi divergence: a condition for equality
- Rényi relative entropies and noncommutative \(L_p\)-spaces
- Sufficiency in quantum statistical inference
- Two theorems about \(C_p\)
- Hilbert's projective metric in quantum information theory
- Reversibility conditions for quantum channels and their applications
- Preservation of a quantum Rényi relative entropy implies existence of a recovery map
- Strengthened Monotonicity of Relative Entropy via Pinched Petz Recovery Map
- A UNIFIED TREATMENT OF CONVEXITY OF RELATIVE ENTROPY AND RELATED TRACE FUNCTIONS, WITH CONDITIONS FOR EQUALITY
- QUANTUM f-DIVERGENCES AND ERROR CORRECTION
- REVERSIBILITY CONDITIONS FOR QUANTUM OPERATIONS
- SUFFICIENCY OF CHANNELS OVER VON NEUMANN ALGEBRAS
- Quantum f-divergences in von Neumann algebras. I. Standard f-divergences
- Recovery and the Data Processing Inequality for Quasi-Entropies
- Cryptographic distinguishability measures for quantum-mechanical states
- Inequalities for quantum entropy: A review with conditions for equality
- Quantum f-Divergences in von Neumann Algebras
- Sufficiency and Approximate Sufficiency
- Different quantum f-divergences and the reversibility of quantum operations
- Recoverability in quantum information theory
- Reversibility of a quantum channel: General conditions and their applications to Bosonic linear channels
- SUFFICIENCY IN QUANTUM STATISTICAL INFERENCE: A SURVEY WITH EXAMPLES
- Equivalent Comparisons of Experiments
- Recovery map stability for the data processing inequality
- Recoverability for optimized quantum f-divergences
- Quantum hypothesis testing and sufficient subalgebras