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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.<\/jats:p>","DOI":"10.22331\/q-2022-05-30-724","type":"journal-article","created":{"date-parts":[[2022,5,30]],"date-time":"2022-05-30T11:01:27Z","timestamp":1653908487000},"page":"724","update-policy":"https:\/\/doi.org\/10.22331\/q-crossmark-policy-page","source":"Crossref","is-referenced-by-count":4,"title":["One-Shot Hybrid State Redistribution"],"prefix":"10.22331","volume":"6","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-2445-2701","authenticated-orcid":false,"given":"Eyuri","family":"Wakakuwa","sequence":"first","affiliation":[{"name":"Department of Communication Engineering and Informatics, Graduate School of Informatics and Engineering, The University of Electro-Communications, Tokyo 182-8585, Japan"},{"name":"Department of Computer Science, Graduate School of Information Science and Technology, The University of Tokyo, Bunkyo-ku, Tokyo 113-8656, Japan"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0290-4698","authenticated-orcid":false,"given":"Yoshifumi","family":"Nakata","sequence":"additional","affiliation":[{"name":"Yukawa Institute for Theoretical Physics, Kyoto university, Kitashirakawa Oiwakecho, Sakyo-ku, Kyoto, 606-8502, Japan"},{"name":"Photon Science Center, Graduate School of Engineering, The University of Tokyo, Bunkyo-ku, Tokyo 113-8656, Japan"},{"name":"JST, PRESTO, 4-1-8 Honcho, Kawaguchi, Saitama, 332-0012, Japan"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1985-4623","authenticated-orcid":false,"given":"Min-Hsiu","family":"Hsieh","sequence":"additional","affiliation":[{"name":"Centre for Quantum Software & Information (UTS:QSI), University of Technology Sydney, Sydney NSW, Australia"},{"name":"Hon Hai (Foxconn) Research Institute, Taipei, Taiwan"}]}],"member":"9598","published-online":{"date-parts":[[2022,5,30]]},"reference":[{"key":"0","doi-asserted-by":"publisher","unstructured":"Anura Abeyesinghe, Igor Devetak, Patrick Hayden, and Andreas Winter, ``The mother of all protocols: restructuring quantum information\u2019s family tree\u2019\u2019, Proc. 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