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The private classical capacity region of classical–quantum broadcasting channel with three receivers

  • 01-11-2025
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Abstract

This article delves into the private classical capacity region of classical-quantum broadcast channels with two legitimate receivers and one eavesdropper. It explores four distinct scenarios: a single confidential classical message, both common and confidential classical messages, two degraded messages with one common and one confidential, and a three-layer sequential degradation with one common and two confidential messages. The study employs superposition coding, quantum-typical subspace projectors, and auxiliary variables to derive the private classical capacity region, ensuring that confidential messages are masked from the eavesdropper. The findings extend previous results on quantum broadcast channels by incorporating security constraints, providing a robust framework for secure communication in quantum networks. The article concludes with potential future research directions, including fully quantum channels, non-degraded multi-receiver setups, and finite-blocklength regimes.

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Title
The private classical capacity region of classical–quantum broadcasting channel with three receivers
Authors
Fangyuan Chen
Xiaomin Liu
Zhengjun Xi
Publication date
01-11-2025
Publisher
Springer US
Published in
Quantum Information Processing / Issue 11/2025
Print ISSN: 1570-0755
Electronic ISSN: 1573-1332
DOI
https://doi.org/10.1007/s11128-025-04970-9
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