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Paper IDQ.2.4
Paper Title One-Shot Trade-Off Bounds for State Redistribution of Classical-Quantum Sources
Authors Eyuri Wakakuwa, University of Electro-Communications, Japan; Yoshifumi Nakata, Kyoto University, Japan; Min-Hsiu Hsieh, University of Technology Sydney, Australia
Session Q.2: Quantum Compression
Presentation Lecture
Track Quantum Systems, Codes, and Information
Manuscript  Click here to download the manuscript
Virtual Presentation  Click here to watch in the Virtual Symposium
Abstract We consider state redistribution of a "hybrid" information source that has both classical and quantum components. The sender transmits classical and quantum information at the same time to the receiver, in the presence of classical and quantum side information both at the sender and at the decoder. The available resources are shared entanglement, and noiseless classical and quantum communication channels. We derive one-shot direct and converse bounds for these three resources, represented in terms of the smooth conditional entropies of the source state. The two bounds coincide in the asymptotic limit of in nitely many copies and vanishingly small error. Various coding theorems for two-party communication tasks are obtained by reduction from our results.

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2021 IEEE International Symposium on Information Theory

11-16 July 2021 | Melbourne, Victoria, Australia

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