Exponential decay of matrix Φ-entropies on Markov semigroups with applications to dynamical evolutions of quantum ensembles-Reference-Cited by-同舟云学术

Exponential decay of matrix Φ-entropies on Markov semigroups with applications to dynamical evolutions of quantum ensembles

Published:2017-09 Issue:9 Volume:58 Page:092202
ISSN:0022-2488
Container-title:Journal of Mathematical Physics
language:en
Short-container-title:Journal of Mathematical Physics

Author:

Cheng Hao-Chung¹²^ORCID,Hsieh Min-Hsiu²^ORCID,Tomamichel Marco²³^ORCID

Affiliation:

1. Graduate Institute Communication Engineering, National Taiwan University, Taipei, Taiwan

2. Centre for Quantum Software and Information (UTS:Q), Faculty of Engineering and Information Technology, University of Technology Sydney, Sydney, Australia

3. School of Physics, The University of Sydney, Sydney, Australia

Funder

Australian Research Council (ARC)

Publisher

AIP Publishing

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Link

http://aip.scitation.org/doi/pdf/10.1063/1.5000846

Reference57 articles.

1. Quantum stochastic processes

2. On the generators of quantum dynamical semigroups

3. The χ2-divergence and mixing times of quantum Markov processes

4. Quantum logarithmic Sobolev inequalities and rapid mixing

5. Hypercontractivity in Noncommutative LpSpaces

Cited by 8 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. From Poincaré inequalities to nonlinear matrix concentration;Bernoulli;2021-05-01

2. Nonlinear matrix concentration via semigroup methods;Electronic Journal of Probability;2021-01-01

3. Scalar Poincaré implies matrix Poincaré;Electronic Communications in Probability;2021-01-01

4. Matrix Poincaré inequalities and concentration;Advances in Mathematics;2020-09

5. Matrix Infinitely Divisible Series: Tail Inequalities and Their Applications;IEEE Transactions on Information Theory;2020-02