Resolvability of classical-quantum channels
Abstract
Channel resolvability concerns the minimum resolution for approximating the channel output. We study the resolvability of classical-quantum channels in two settings, for the channel output generated from the worst input, and form the fixed independent and identically distributed (i.i.d.) input. The direct part of the worst-input setting is derived from sequential hypothesis testing as it involves of non-i.i.d.~inputs. The strong converse of the worst-input setting is obtained via the connection to identification codes. For the fixed-input setting, while the direct part follows from the known quantum soft covering result, we exploit the recent alternative quantum Sanov theorem to solve the strong converse.
Cite
@article{arxiv.2410.16704,
title = {Resolvability of classical-quantum channels},
author = {Masahito Hayashi and Hao-Chung Cheng and Li Gao},
journal= {arXiv preprint arXiv:2410.16704},
year = {2024}
}
Comments
20 pages, 3 figures. Comments are welcome!