State Exchange with Quantum Side Information
We consider a quantum communication task between two users Alice and Bob, in which Alice and Bob exchange their respective quantum information by means of local operations and classical communication assisted by shared entanglement. Here, we assume that Alice and Bob may have quantum side informatio...
| Main Authors: | , , , , |
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| Other Authors: | |
| Format: | Article |
| Language: | English |
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American Physical Society
2019
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| Online Access: | http://hdl.handle.net/1721.1/120126 |
| _version_ | 1826213623111876608 |
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| author | Lee, Yonghae Takagi, Ryuji Yamasaki, Hayata Adesso, Gerardo Lee, Soojoon |
| author2 | Massachusetts Institute of Technology. Center for Theoretical Physics |
| author_facet | Massachusetts Institute of Technology. Center for Theoretical Physics Lee, Yonghae Takagi, Ryuji Yamasaki, Hayata Adesso, Gerardo Lee, Soojoon |
| author_sort | Lee, Yonghae |
| collection | MIT |
| description | We consider a quantum communication task between two users Alice and Bob, in which Alice and Bob exchange their respective quantum information by means of local operations and classical communication assisted by shared entanglement. Here, we assume that Alice and Bob may have quantum side information, not transferred, and classical communication is free. In this work, we derive general upper and lower bounds for the least amount of entanglement which is necessary to perfectly perform this task, called the state exchange with quantum side information. Moreover, we show that the optimal entanglement cost can be negative when Alice and Bob make use of their quantum side information. We finally provide conditions on the initial state for the state exchange with quantum side information which give the exact optimal entanglement cost. |
| first_indexed | 2024-09-23T15:52:12Z |
| format | Article |
| id | mit-1721.1/120126 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T15:52:12Z |
| publishDate | 2019 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/1201262022-10-02T04:45:22Z State Exchange with Quantum Side Information Lee, Yonghae Takagi, Ryuji Yamasaki, Hayata Adesso, Gerardo Lee, Soojoon Massachusetts Institute of Technology. Center for Theoretical Physics Massachusetts Institute of Technology. Department of Physics Takagi, Ryuji We consider a quantum communication task between two users Alice and Bob, in which Alice and Bob exchange their respective quantum information by means of local operations and classical communication assisted by shared entanglement. Here, we assume that Alice and Bob may have quantum side information, not transferred, and classical communication is free. In this work, we derive general upper and lower bounds for the least amount of entanglement which is necessary to perfectly perform this task, called the state exchange with quantum side information. Moreover, we show that the optimal entanglement cost can be negative when Alice and Bob make use of their quantum side information. We finally provide conditions on the initial state for the state exchange with quantum side information which give the exact optimal entanglement cost. National Science Foundation (U.S.) United States. Army Research Office United States. Intelligence Advanced Research Projects Activity Takenaka Scholarship 2019-01-24T18:36:35Z 2019-01-24T18:36:35Z 2019-01 2018-09 2019-01-09T18:00:19Z Article http://purl.org/eprint/type/JournalArticle 0031-9007 1079-7114 http://hdl.handle.net/1721.1/120126 Lee, Yonghae, et al. “State Exchange with Quantum Side Information.” Physical Review Letters, vol. 122, no. 1, Jan. 2019. © 2019 American Physical Society en http://dx.doi.org/10.1103/PhysRevLett.122.010502 Physical Review Letters Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. American Physical Society application/pdf American Physical Society American Physical Society |
| spellingShingle | Lee, Yonghae Takagi, Ryuji Yamasaki, Hayata Adesso, Gerardo Lee, Soojoon State Exchange with Quantum Side Information |
| title | State Exchange with Quantum Side Information |
| title_full | State Exchange with Quantum Side Information |
| title_fullStr | State Exchange with Quantum Side Information |
| title_full_unstemmed | State Exchange with Quantum Side Information |
| title_short | State Exchange with Quantum Side Information |
| title_sort | state exchange with quantum side information |
| url | http://hdl.handle.net/1721.1/120126 |
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