English

Universal classical-quantum superposition coding and universal classical-quantum multiple access channel coding

Quantum Physics 2022-04-26 v3 Information Theory math.IT

Abstract

We derive universal classical-quantum superposition coding and universal classical-quantum multiple access channel code by using generalized packing lemmas for the type method. Using our classical-quantum universal superposition code, we establish the capacity region of a classical-quantum compound broadcast channel with degraded message sets. Our universal classical-quantum multiple access channel codes have two types of codes. One is a code with joint decoding and the other is a code with separate decoding. The former universally achieves corner points of the capacity region and the latter universally achieves general points of the capacity region. Combining the latter universal code with the existing result by Quantum Inf Process. 18, 246 (2019), we establish a single-letterized formula for the capacity region of a classical-quantum compound multiple access channel.

Keywords

Cite

@article{arxiv.2011.00410,
  title  = {Universal classical-quantum superposition coding and universal classical-quantum multiple access channel coding},
  author = {Masahito Hayashi and Ning Cai},
  journal= {arXiv preprint arXiv:2011.00410},
  year   = {2022}
}