Monotonic multi-state quantum f-divergences
From MaRDI portal
Publication:6039183
DOI10.1063/5.0125505zbMath1512.81010arXiv2103.09893OpenAlexW4365511883MaRDI QIDQ6039183
Shoy Ouseph, Nima Lashkari, Keiichiro Furuya
Publication date: 4 May 2023
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2103.09893
Quantum information, communication, networks (quantum-theoretic aspects) (81P45) Quantum entropies (81P17) Quantum state tomography, quantum state discrimination (81P18)
Related Items
Channel divergences and complexity in algebraic QFT ⋮ Information loss, mixing and emergent type \(\mathrm{III}_1\) factors ⋮ Local Poincaré algebra from quantum chaos
Cites Work
- Swiveled Rényi entropies
- Discriminating quantum states: the multiple Chernoff distance
- Multivariate trace inequalities
- Constraining quantum fields using modular theory
- Strong converse for the classical capacity of entanglement-breaking and Hadamard channels via a sandwiched Rényi relative entropy
- Holographic order from modular chaos
- A generalization of quantum Stein's lemma
- 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
- The proper formula for relative entropy and its asymptotics in quantum probability
- The Golden-Thompson trace inequality is complemented
- Means of positive linear operators
- Rényi divergences as weighted non-commutative vector-valued \(L_p\)-spaces
- Positive cones and \(L^p\)-spaces for von Neumann algebras
- Approximate recoverability and relative entropy. II: 2-positive channels of general von Neumann algebras
- Recovering the QNEC from the ANEC
- Quantum hypothesis testing and the operational interpretation of the quantum Rényi relative entropies
- From Wigner-Yanase-Dyson conjecture to Carlen-Frank-Lieb conjecture
- An extended Lie--Trotter formula and its applications
- A quantum version of Sanov's theorem
- Concavity of certain matrix trace and norm functions
- The role of relative entropy in quantum information theory
- Contraction of Generalized Relative Entropy Under Stochastic Mappings on Matrices
- Upper and lower bounds for the arithmetic-geometric-harmonic means of positive definite matrices
- Optimal sequence of quantum measurements in the sense of Stein s lemma in quantum hypothesis testing
- Optimized quantumf-divergences and data processing
- MONOTONICITY OF QUANTUM RELATIVE ENTROPY REVISITED
- Loewner's Theorem on Monotone Matrix Functions
- On the Error Exponents of Binary State Discrimination With Composite Hypotheses
- Adversarial Hypothesis Testing and a Quantum Stein’s Lemma for Restricted Measurements
- α-z-Rényi relative entropies
- Une classification des facteurs de type ${\rm III}$
- Multipartite quantum correlations and local recoverability
- Recoverability in quantum information theory
- Sandwiched Rényi divergence satisfies data processing inequality
- Monotonicity of a relative Rényi entropy
- On quantum Rényi entropies: A new generalization and some properties
- Multivariate trace inequalities, p-fidelity, and universal recovery beyond tracial settings
- Bernstein functions. Theory and applications
