Quantum f-divergences in von Neumann algebras. I. Standard f-divergences
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Publication:4556628
DOI10.1063/1.5039973zbMath1411.46045arXiv1805.02050OpenAlexW3101828951MaRDI QIDQ4556628
Publication date: 16 November 2018
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1805.02050
General theory of von Neumann algebras (46L10) Noncommutative dynamical systems (46L55) Entropy and other invariants, isomorphism, classification in ergodic theory (37A35)
Related Items (11)
Quantum Rényi divergences and the strong converse exponent of state discrimination in operator algebras ⋮ Quantum teleportation in the commuting operator framework ⋮ The strong converse exponent of discriminating infinite-dimensional quantum states ⋮ Equality cases in monotonicity of quasi-entropies, Lieb’s concavity and Ando’s convexity ⋮ State convertibility in the von Neumann algebra framework ⋮ Not even 6 dB: Gaussian quantum illumination in thermal background ⋮ Recoverability of quantum channels via hypothesis testing ⋮ Quantum f-divergences in von Neumann algebras. II. Maximal f-divergences ⋮ Rényi relative entropies and noncommutative \(L_p\)-spaces. II ⋮ Pusz-Woronowicz functional calculus and extended operator convex perspectives ⋮ Recoverability for optimized quantum f-divergences
Cites Work
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- Strong converse for the classical capacity of entanglement-breaking and Hadamard channels via a sandwiched Rényi relative entropy
- Relative Hamiltonians which are not bounded from above
- Interpolation theory and the Wigner-Yanase-Dyson-Lieb concavity
- Sufficient subalgebras and the relative entropy of states of a von Neumann algebra
- Applications of the complex interpolation method to a von Neumann algebra: non-commutative \(L^ p\)-spaces
- Quasi-entropies for states of a von Neumann algebra
- Quasi-entropies for finite quantum systems
- A variational expression for the relative entropy
- Operator valued weights in von Neumann algebras. I
- Les espaces \(L^ p\) d'une algebre de von Neumann definies par la derivee spatiale
- Notes on non-commutative integration
- Relative entropy of states of von Neumann algebras
- Relative entropy for states of von Neumann algebras. II
- Rényi divergences as weighted non-commutative vector-valued \(L_p\)-spaces
- Asymptotic of Varadhan-type and the Gibbs variational principle
- Positive cones and \(L^p\)-spaces for von Neumann algebras
- Some properties of modular conjugation operator of von Neumann algebras and a non-commutative Radon-Nikodym theorem with a chain rule
- Caractérisation des espaces vectoriels ordonnés sous jacents aux algèbres de Von Neumann
- Theory of operator algebras. II
- On entropy for general quantum systems
- Quantum hypothesis testing and the operational interpretation of the quantum Rényi relative entropies
- Relative Hamiltonian for faithful normal states of a von Neumann algebra
- Golden-Thompson and Peierls-Bogolubov inequalities for a general von Neumann algebra
- Rényi relative entropies and noncommutative \(L_p\)-spaces
- Sufficiency in quantum statistical inference
- Convex trace functions and the Wigner-Yanase-Dyson conjecture
- Concavity of certain matrix trace and norm functions
- A non-commutative extension of abstract integration
- Convexity Properties of the Quantum Rényi Divergences, with Applications to the Quantum Stein's Lemma
- Matrix Analysis: Matrix Monotone Functions, Matrix Means, and Majorization
- QUANTUM f-DIVERGENCES AND ERROR CORRECTION
- REVERSIBILITY CONDITIONS FOR QUANTUM OPERATIONS
- SUFFICIENCY OF CHANNELS OVER VON NEUMANN ALGEBRAS
- A Remark on Sakai's Quadratic Radon-Nikodym Theorem
- The standard form of von Neumann algebras.
- Monotone Riemannian metrics and relative entropy on noncommutative probability spaces
- Min- and Max-Relative Entropies and a New Entanglement Monotone
- α-z-Rényi relative entropies
- On the Quantum Rényi Relative Entropies and Related Capacity Formulas
- Different quantum f-divergences and the reversibility of quantum operations
- On quantum Rényi entropies: A new generalization and some properties
- Higher order extension of Löwner’s theory: Operator 𝑘-tone functions
- Conditional expectation in an operator algebra. IV. Entropy and information
- Expansional in banach algebras
- Formes linéaires sur un anneau d'opérateurs
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