4 papers
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…
Layer Cake Representations for Quantum Divergences
Po-Chieh Liu, Christoph Hirche, Hao-Chung Cheng
Defining suitable quantum extensions of classical divergences often poses a challenge due to the non-commutative nature of quantum information. In this work, we propose a new appro…
Distributed Quantum Hypothesis Testing under Zero-rate Communication Constraints
Sreejith Sreekumar, Christoph Hirche, Hao-Chung Cheng +1
The trade-offs between error probabilities in quantum hypothesis testing are by now well-understood in the centralized setting, but much less is known for distributed settings. Her…
Sample Complexity of Locally Differentially Private Quantum Hypothesis Testing
Hao-Chung Cheng, Christoph Hirche, Cambyse Rouzé
Quantum state discrimination is an important problem in many information processing tasks. In this work we are concerned with finding its best possible sample complexity when the s…