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One-Shot Hybrid State Redistribution

Ngày:

Eyuri Wakakuwa1,2, Yoshifumi Nakata3,4,5Min Hsiu Hsieh6,7

1Khoa Kỹ thuật Truyền thông và Tin học, Trường Cao học Tin học và Kỹ thuật, Đại học Điện-Truyền thông, Tokyo 182-8585, Nhật Bản
2Department of Computer Science, Graduate School of Information Science and Technology, The University of Tokyo, Bunkyo-ku, Tokyo 113-8656, Japan
3Viện Vật lý Lý thuyết Yukawa, Đại học Kyoto, Kitashirakawa Oiwakecho, Sakyo-ku, Kyoto, 606-8502, Nhật Bản
4Trung tâm Khoa học Photon, Trường Cao học Kỹ thuật, Đại học Tokyo, Bunkyo-ku, Tokyo 113-8656, Nhật Bản
5JST, PRESTO, 4-1-8 Honcho, Kawaguchi, Saitama, 332-0012, Nhật Bản
6Trung tâm Thông tin & Phần mềm Lượng tử (UTS: QSI), Đại học Công nghệ Sydney, Sydney NSW, Úc
7Hon Hai (Foxconn) Research Institute, Taipei, Taiwan

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Tóm tắt

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. Various coding theorems for two-party source coding problems are systematically obtained by reduction from our results, including the ones that have not been addressed in previous literature.

► Dữ liệu BibTeX

► Tài liệu tham khảo

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