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

Eyuri Wakakuwa; Yoshifumi Nakata

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

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

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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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《IEEE Transactions on Information Theory》 |2023年第4期|2400-2426|共27页
作者
Eyuri Wakakuwa; Yoshifumi Nakata;
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作者单位

Department of Computer Science, Graduate School of Information Science and Technology, The University of Tokyo, Bunkyo-ku, Tokyo, Japan|Department of Communication Engineering and Informatics, Graduate School of Informatics and Engineering, The University;

Yukawa Institute for Theoretical Physics, Kyoto University, Sakyo-ku, Kyoto, Japan|JST, PRESTO, Kawaguchi, Japan|Photon Science Center, Graduate School of Engineering, The University of Tokyo, Bunkyo-ku, Tokyo, Japan;

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原文格式 PDF
正文语种英语
中图分类通信;
关键词
Quantum entanglement; Quantum channels; Entropy; Task analysis; Noise measurement; Quantum system; Quantum communication;

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

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