Second-order asymptotics for quantum hypothesis testing in settings beyond i.i.d.—quantum lattice systems and more
DOI10.1063/1.4953582zbMath1348.81132arXiv1510.04682OpenAlexW3098297568MaRDI QIDQ3178316
Yan Pautrat, Nilanjana Datta, Cambyse Rouzé
Publication date: 11 July 2016
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1510.04682
Nonparametric hypothesis testing (62G10) Fault detection; testing in circuits and networks (94C12) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Classical and relativistic thermodynamics (80A10) Quantum measurement theory, state operations, state preparations (81P15) Measures of information, entropy (94A17) Quantum information, communication, networks (quantum-theoretic aspects) (81P45) Quantum state estimation, approximate cloning (81P50)
Related Items (5)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Second-order coding rates for pure-loss bosonic channels
- Large deviations for quantum spin systems
- 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 of states of von Neumann algebras
- Relative entropy for states of von Neumann algebras. II
- A remark on the connection between the large deviation principle and the central limit theorem
- Entropy densities for algebraic states
- An ergodic theorem for the quantum relative entropy
- Finite-length analysis on tail probability for Markov chain and application to simple hypothesis testing
- Second-order asymptotics for the classical capacity of image-additive quantum channels
- Second-order asymptotics for quantum hypothesis testing
- Typical support and Sanov large deviations of correlated states
- Strong converse and Stein's lemma in quantum hypothesis testing
- Correlation detection and an operational interpretation of the Rényi mutual information
- QUANTUM HYPOTHESIS TESTING AND NON-EQUILIBRIUM STATISTICAL MECHANICS
- Asymptotic Estimates in Information Theory with Non-Vanishing Error Probabilities
- Asymmetric Evaluations of Erasure and Undetected Error Probabilities
- Large deviations and Chernoff bound for certain correlated states on a spin chain
- Fermionic quasifree states and maps in information theory
- Error exponents in hypothesis testing for correlated states on a spin chain
- On Error Exponents in Quantum Hypothesis Testing
- Quantum hypothesis testing with group symmetry
- Hypothesis testing for Gaussian states on bosonic lattices
- A Hierarchy of Information Quantities for Finite Block Length Analysis of Quantum Tasks
- Entropic Fluctuations in Quantum Statistical Mechanics. An Introduction
- Asymptotic distinguishability measures for shift-invariant quasifree states of fermionic lattice systems
This page was built for publication: Second-order asymptotics for quantum hypothesis testing in settings beyond i.i.d.—quantum lattice systems and more