10 papers
Error Exponents for Quantum Packing Problems via An Operator Layer Cake Theorem
Hao-Chung Cheng, Po-Chieh Liu
In this work, we prove a one-shot random coding bound for classical-quantum channel coding, a problem conjectured by Burnashev and Holevo in 1998. By choosing the optimal input dis…
On the geometry of the second Lagrange spectra
Hao Cheng, Harold Erazo, Carlos Gustavo Moreira +1
The Lagrange spectrum is the set of finite values of the best approximation constants , where $α\in \mathbb{R}\setminus \math…
A Mirror-Descent Algorithm for Computing the Petz-Rényi Capacity of Classical-Quantum Channels
Yu-Hong Lai, Hao-Chung Cheng
We study the computation of the -Rényi capacity of a classical-quantum (c-q) channel for . We propose an exponentiated-gradient (mirror descent) iteration that gen…
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…
The operator layer cake theorem is equivalent to Frenkel's integral formula
Hao-Chung Cheng, Gilad Gour, Ludovico Lami +1
The operator layer cake theorem provides an integral representation for the directional derivative of the operator logarithm in terms of a family of projections [arXiv:2507.06232].…
Global Coherence in Quantum Discord as a Resource
Chellasamy Jebarathinam, Huan-Yu Ku, Hao-Chung Cheng +1
This work addresses which aspect of \textit{bipartite coherence} in \textit{quantum discord} is essential for \textit{genuinely quantum correlation}. To this end, \textit{global co…