|One-Shot Trade-Off Bounds for State Redistribution of Classical-Quantum Sources
|Eyuri Wakakuwa, University of Electro-Communications, Japan; Yoshifumi Nakata, Kyoto University, Japan; Min-Hsiu Hsieh, University of Technology Sydney, Australia
|Q.2: Quantum Compression
|Quantum Systems, Codes, and Information
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|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 innitely many copies and vanishingly small error. Various coding theorems for two-party communication tasks are obtained by reduction from our results.