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math.NT2026
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 \mathbb{…
quant-ph2026
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 genera…
quant-ph2026
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…