Quantum Rényi and \(f\)-divergences from integral representations
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Publication:6593162
DOI10.1007/s00220-024-05087-3MaRDI QIDQ6593162
Marco Tomamichel, Christoph Hirche
Publication date: 26 August 2024
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Selfadjoint operator algebras ((C^*)-algebras, von Neumann ((W^*)-) algebras, etc.) (46Lxx) Foundations, quantum information and its processing, quantum axioms, and philosophy (81Pxx) Communication, information (94Axx)
Cites Work
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- Strong converse for the classical capacity of entanglement-breaking and Hadamard channels via a sandwiched Rényi relative entropy
- Asymptotic error rates in quantum hypothesis testing
- The Chernoff lower bound for symmetric quantum hypothesis testing
- Quasi-entropies for states of a von Neumann algebra
- Quasi-entropies for finite quantum systems
- The proper formula for relative entropy and its asymptotics in quantum probability
- Relative entropy under mappings by stochastic matrices
- Equivalence of certain entropy contraction coefficients
- Amortized channel divergence for asymptotic quantum channel discrimination
- Quantum hypothesis testing and the operational interpretation of the quantum Rényi relative entropies
- Investigating properties of a family of quantum Rényi divergences
- A new quantum version of \(f\)-divergence
- Strong converse and Stein's lemma in quantum hypothesis testing
- Contraction coefficients for noisy quantum channels
- Relative entropy convergence for depolarizing channels
- A lower bound on the fidelity between two states in terms of their trace-distance and max-relative entropy
- Continuity bounds on the quantum relative entropy — II
- Quantum skew divergence
- $f$ -Divergence Inequalities
- Strong Data Processing Inequalities and <inline-formula> <tex-math notation="LaTeX">$\Phi $ </tex-math> </inline-formula>-Sobolev Inequalities for Discrete Channels
- QUANTUM f-DIVERGENCES AND ERROR CORRECTION
- Continuity bounds on the quantum relative entropy
- Context tree estimation for not necessarily finite memory processes, via BIC and MDL
- On Divergences and Informations in Statistics and Information Theory
- Contraction of Generalized Relative Entropy Under Stochastic Mappings on Matrices
- Monotone Riemannian metrics and relative entropy on noncommutative probability spaces
- Optimized quantumf-divergences and data processing
- BEYOND STRONG SUBADDITIVITY? IMPROVED BOUNDS ON THE CONTRACTION OF GENERALIZED RELATIVE ENTROPY
- Upper continuity bound on the quantum quasi-relative entropy
- A Note on Reverse Pinsker Inequalities
- The $\chi ^2$χ2-divergence and mixing times of quantum Markov processes
- Channel Coding Rate in the Finite Blocklength Regime
- A sharp continuity estimate for the von Neumann entropy
- Quantum logarithmic Sobolev inequalities and rapid mixing
- On quantum Rényi entropies: A new generalization and some properties
- On Certain Contraction Mappings in a Partially Ordered Vector Space
- Uncertainty, Information, and Sequential Experiments
- Information Theory
- Recoverability of quantum channels via hypothesis testing
- Tight Exponential Analysis for Smoothing the Max-Relative Entropy and for Quantum Privacy Amplification
- Bounding Quantum Capacities via Partial Orders and Complementarity
- Quantum differential privacy: an information theory perspective
- Continuity of quantum entropic quantities via almost convexity
- Postselected quantum hypothesis testing
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