Matrix analysis and quantum information
From MaRDI portal
Publication:4568284
DOI10.1090/suga/417zbMath1390.15075OpenAlexW2596675244MaRDI QIDQ4568284
Publication date: 18 June 2018
Published in: Sugaku Expositions (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/suga/417
Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Applications of selfadjoint operator algebras to physics (46L60) Noncommutative probability and statistics (46L53) Measures of information, entropy (94A17) Quantum coherence, entanglement, quantum correlations (81P40) Quantum information, communication, networks (quantum-theoretic aspects) (81P45)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- All 2-positive linear maps from \(M_3(\mathbb{C})\) to \(M_3(\mathbb{C})\) are decomposable
- The fast track to Löwner's theorem
- Operator log-convex functions and operator means
- General state changes in quantum theory
- A generalization of Powers-Størmer inequality
- Strong converse for the classical capacity of entanglement-breaking and Hadamard channels via a sandwiched Rényi relative entropy
- Some operator and trace function convexity theorems
- Asymptotic error rates in quantum hypothesis testing
- The Chernoff lower bound for symmetric quantum hypothesis testing
- Interpolation theory and the Wigner-Yanase-Dyson-Lieb concavity
- Quasi-entropies for states of a von Neumann algebra
- Quasi-entropies for finite quantum systems
- On the geometry of positive maps in matrix algebras. II
- Sufficiency, KMS condition and relative entropy in von Neumann algebras
- Jensen's inequality for operators and Loewner's theorem
- Concavity of certain maps on positive definite matrices and applications to Hadamard products
- The proper formula for relative entropy and its asymptotics in quantum probability
- Relative entropy of states of von Neumann algebras
- Completely positive linear maps on complex matrices
- Positive semidefinite biquadratic forms
- Positive maps of low dimensional matrix algebras
- The transition probability in the state space of a \(^*\)-algebra
- Relative entropy and the Wigner-Yanase-Dyson-Lieb concavity in an interpolation theory
- A class of extremal positive maps in \(3\times 3\) matrix algebras
- Structure of states which satisfy strong subadditivity of quantum entropy with equality
- Separability of mixed states: necessary and sufficient conditions.
- Quantum hypothesis testing and the operational interpretation of the quantum Rényi relative entropies
- Data processing for the sandwiched Rényi divergence: a condition for equality
- Sufficiency in quantum statistical inference
- Quantum information theory and quantum statistics.
- A continuity property of the entropy density for spin lattice systems
- Quantum computation and information. From theory to experiment
- Linear transformations which preserve trace and positive semidefiniteness of operators
- Convex trace functions and the Wigner-Yanase-Dyson conjecture
- Concavity of certain matrix trace and norm functions
- Über konvexe Matrixfunktionen
- Strong converse and Stein's lemma in quantum hypothesis testing
- Preservation of a quantum Rényi relative entropy implies existence of a recovery map
- Translation-Invariant Quantum Markov States
- Matrix Analysis: Matrix Monotone Functions, Matrix Means, and Majorization
- On the Bures volume of separable quantum states
- QUANTUM f-DIVERGENCES AND ERROR CORRECTION
- REVERSIBILITY CONDITIONS FOR QUANTUM OPERATIONS
- Trace functions as Laplace transforms
- Large deviations and Chernoff bound for certain correlated states on a spin chain
- Error exponents in hypothesis testing for correlated states on a spin chain
- Quantum hypothesis testing with group symmetry
- Hypothesis testing for Gaussian states on bosonic lattices
- Continuity of quantum conditional information
- Separability Criterion for Density Matrices
- Cryptographic distinguishability measures for quantum-mechanical states
- Indecomposable Positive Maps in Matrix Algebras
- MARKOVIAN KMS-STATES FOR ONE-DIMENSIONAL SPIN CHAINS
- MONOTONICITY OF QUANTUM RELATIVE ENTROPY REVISITED
- Inequalities for quantum entropy: A review with conditions for equality
- “Squashed entanglement”: An additive entanglement measure
- FACIAL STRUCTURES FOR VARIOUS NOTIONS OF POSITIVITY AND APPLICATIONS TO THE THEORY OF ENTANGLEMENT
- α-z-Rényi relative entropies
- On the Quantum Rényi Relative Entropies and Related Capacity Formulas
- A sharp continuity estimate for the von Neumann entropy
- INFORMATION CONTENTS OF DISTRIBUTIONS
- Different quantum f-divergences and the reversibility of quantum operations
- Quantum states with Einstein-Podolsky-Rosen correlations admitting a hidden-variable model
- Sandwiched Rényi divergence satisfies data processing inequality
- Monotonicity of a relative Rényi entropy
- On quantum Rényi entropies: A new generalization and some properties
- Entropic Fluctuations in Quantum Statistical Mechanics. An Introduction
- Higher order extension of Löwner’s theory: Operator 𝑘-tone functions
- On asymptotic continuity of functions of quantum states
- SUFFICIENCY IN QUANTUM STATISTICAL INFERENCE: A SURVEY WITH EXAMPLES
- Asymptotic distinguishability measures for shift-invariant quasifree states of fermionic lattice systems
- Conditional expectation in an operator algebra. IV. Entropy and information
- Positive Functions on C ∗ -Algebras
- Monotone and Convex Operator Functions
This page was built for publication: Matrix analysis and quantum information