19 citations · 29 across the 13 of their papers we have counts for
16 papers
Minimax games for quantum channel discrimination
Kun Fang, Michael X. Cao, Hao-Chung Cheng +2
Quantum channel discrimination is a primitive task for identifying, verifying, and benchmarking quantum dynamics. Previous studies have primarily considered either the best-case te…
Modified logarithmic Sobolev inequalities for Abelian quantum double models
Sebastian Stengele, Ángela 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-sym…
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…
Joint State-Channel Decoupling and One-Shot Quantum Coding Theorem
Hao-Chung Cheng, Frédéric Dupuis, Li Gao
In this work, we consider decoupling a bipartite quantum state via a general quantum channel. We propose a joint state-channel decoupling approach to obtain a one-shot error expone…
Optimal Second-Order Rates for Quantum Information Decoupling
Yu-Chen Shen, Li Gao, Hao-Chung Cheng
In this paper, we consider the standard quantum information decoupling, in which Alice aims to decouple her system from the environment by local operations and discarding some of h…
On Strong Converse Theorems for Quantum Hypothesis Testing and Channel Coding
Hao-Chung Cheng, Li Gao
Strong converse theorems refer to the study of impossibility results in information theory. In particular, Mosonyi and Ogawa established a one-shot strong converse bound for quantu…
Privacy Amplification Against Quantum Side Information Via Regular Random Binning
Yu-Chen Shen, Li Gao, Hao-Chung Cheng
We consider privacy amplification against quantum side information by using regular random binning as an effective extractor. For constant-type sources, we obtain error exponent an…
Quantum Broadcast Channel Simulation via Multipartite Convex Splitting
Hao-Chung Cheng, Li Gao, Mario Berta
We show that the communication cost of quantum broadcast channel simulation under free entanglement assistance between the sender and the receivers is asymptotically characterized…
Tight One-Shot Analysis for Convex Splitting with Applications in Quantum Information Theory
Hao-Chung Cheng, Li Gao
Convex splitting is a powerful technique in quantum information theory used in proving the achievability of numerous information-processing protocols such as quantum state redistri…
Sufficient statistic and recoverability via Quantum Fisher Information metrics
Li Gao, Haojian Li, Iman Marvian +1
We prove that for a large class of quantum Fisher information, a quantum channel is sufficient for a family of quantum states, i.e., the input states can be recovered from the outp…
Optimal Second-Order Rates for Quantum Soft Covering and Privacy Amplification
Yu-Chen Shen, Li Gao, Hao-Chung Cheng
We study quantum soft covering and privacy amplification against quantum side information. The former task aims to approximate a quantum state by sampling from a prior distribution…
Error Exponent and Strong Converse for Quantum Soft Covering
Hao-Chung Cheng, Li Gao
How well can we approximate a quantum channel output state using a random codebook with a certain size? In this work, we study the quantum soft covering problem. Namely, we use a r…
Properties of Noncommutative Renyi and Augustin Information
Hao-Chung Cheng, Li Gao, Min-Hsiu Hsieh
Rényi and Augustin information are generalizations of mutual information defined via the Rényi divergence, playing a significant role in evaluating the performance of information p…