Private classical communication over quantum multiple-access channels
Chou, Rémi
Chou, Rémi
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2021-11-23
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Conference paper
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Keywords
Leftover hash lemma,Multiple-access channels,Private communication,Source coding with quantum side information,Wiretap channels
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Citation
R. A. Chou, "Private Classical Communication Over Quantum Multiple-Access Channels," in IEEE Transactions on Information Theory, vol. 68, no. 3, pp. 1782-1794, March 2022, doi: 10.1109/TIT.2021.3130151
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. © 1963-2012 IEEE.
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This is an open access article under the CC by license.
Publisher
Institute of Electrical and Electronics Engineers Inc.
Journal
IEEE Transactions on Information Theory
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00189448