One-Shot Triple-Resource Trade-Off in Quantum Channel Coding

• URL: http://arxiv.org/abs/2004.12593v2
• Date: Sat, 11 Feb 2023 12:37:11 GMT
• Title: One-Shot Triple-Resource Trade-Off in Quantum Channel Coding
• Authors: Eyuri Wakakuwa, Yoshifumi Nakata
• Abstract summary: We analyze a task in which classical and quantum messages are simultaneously communicated via a noisy quantum channel. We derive direct and converse bounds for the one-shot capacity region, represented by the smooth conditional entropies and the error tolerance.
• Score: 9.137554315375919
• License: http://creativecommons.org/licenses/by-nc-nd/4.0/
• Abstract: We analyze a task in which classical and quantum messages are simultaneously communicated via a noisy quantum channel, assisted with a limited amount of shared entanglement. We derive direct and converse bounds for the one-shot capacity region, represented by the smooth conditional entropies and the error tolerance. The proof is based on the randomized partial decoupling theorem, which is a generalization of the decoupling theorem. The two bounds match in the asymptotic limit of infinitely many uses of a memoryless channel and coincide with the previous result obtained by Hsieh and Wilde. Direct and converse bounds for various communication tasks are obtained as corollaries, both for the one-shot and asymptotic scenarios.

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