5 papers
Modified logarithmic Sobolev inequalities for Abelian quantum double models
Sebastian Stengele, Ãngela Capel, Li Gao +5
We establish rapid mixing for Davies Markov semigroups associated with 2D Abelian quantum double models at any positive temperature. A condition of Dobrushin-Shlosman (DS) type hol…
Fast convergence of Dynamic Capacities of GNS-Symmetric Quantum Channels
Omar Fawzi, Li Gao, Mizanur Rahaman +1
We consider a quantum system described by a quantum channel that is applied at every time step and study the time evolution of its information capacities. When is a GNS-s…
Adversarial Hypothesis Testing for Quantum Channels
Masahito Hayashi, Hao-Chung Cheng, Li Gao
This paper presents a systematic study of adversarial hypothesis testing for both quantum-quantum (QQ) and classical-quantum (CQ) channels. Unlike conventional channel discriminati…
Sharp estimates of quantum covering problems via a novel trace inequality
Hao-Chung Cheng, Li Gao, Christoph Hirche +2
In this paper, we prove a novel trace inequality involving two operators. As applications, we sharpen the one-shot achievability bound on the relative entropy error in a wealth of…
Resolvability of classical-quantum channels
Masahito Hayashi, Hao-Chung Cheng, Li Gao
Channel resolvability concerns the minimum resolution for approximating the channel output. We study the resolvability of classical-quantum channels in two settings, for the channe…