Private Classical Communication over Quantum Multiple-Access Channels
Abstract
We study private classical communication over quantum multiple-access channels. For an arbitrary number of transmitters, we derive a regularized expression of the capacity region. In the case of degradable channels, we establish a single-letter expression for the best achievable sum-rate and prove that this quantity also corresponds to the best achievable sum-rate for quantum communication over degradable quantum multiple-access channels. In our achievability result, we decouple the reliability and privacy constraints, which are handled via source coding with quantum side information and universal hashing, respectively. Hence, we also establish that the multi-user coding problem under consideration can be handled solely via point-to-point coding techniques. As a by-product of independent interest, we derive a distributed leftover hash lemma against quantum side information that ensures privacy in our achievability result.
Cite
@article{arxiv.2201.11899,
title = {Private Classical Communication over Quantum Multiple-Access Channels},
author = {Remi A. Chou},
journal= {arXiv preprint arXiv:2201.11899},
year = {2022}
}
Comments
13 pages, two-column, accepted to IEEE Transactions on Information Theory, part of the results was presented at the 2021 IEEE International Symposium on Information Theory (ISIT)