Absolutely maximally entangled states, combinatorial designs, and multiunitary matrices
Absolutely maximally entangled (AME) states are those multipartite quantum states that carry absolute maximum entanglement in all possible bipartitions. AME states are known to play a relevant role in multipartite teleportation, in quantum secret sharing, and they provide the basis novel tensor netw...
| Những tác giả chính: | , , , , |
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| Định dạng: | Bài viết |
| Ngôn ngữ: | English |
| Được phát hành: |
American Physical Society
2015
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| Truy cập trực tuyến: | http://hdl.handle.net/1721.1/98529 |
| _version_ | 1826194420995719168 |
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| author | Goyeneche, Dardo Alsina, Daniel Riera, Arnau Latorre, Jose Ignacio Zyczkowski, Karol |
| author2 | Massachusetts Institute of Technology. Center for Theoretical Physics |
| author_facet | Massachusetts Institute of Technology. Center for Theoretical Physics Goyeneche, Dardo Alsina, Daniel Riera, Arnau Latorre, Jose Ignacio Zyczkowski, Karol |
| author_sort | Goyeneche, Dardo |
| collection | MIT |
| description | Absolutely maximally entangled (AME) states are those multipartite quantum states that carry absolute maximum entanglement in all possible bipartitions. AME states are known to play a relevant role in multipartite teleportation, in quantum secret sharing, and they provide the basis novel tensor networks related to holography. We present alternative constructions of AME states and show their link with combinatorial designs. We also analyze a key property of AME states, namely, their relation to tensors, which can be understood as unitary transformations in all of their bipartitions. We call this property multiunitarity. |
| first_indexed | 2024-09-23T09:55:51Z |
| format | Article |
| id | mit-1721.1/98529 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T09:55:51Z |
| publishDate | 2015 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/985292022-09-30T17:45:53Z Absolutely maximally entangled states, combinatorial designs, and multiunitary matrices Goyeneche, Dardo Alsina, Daniel Riera, Arnau Latorre, Jose Ignacio Zyczkowski, Karol Massachusetts Institute of Technology. Center for Theoretical Physics Massachusetts Institute of Technology. Laboratory for Nuclear Science Latorre, Jose Ignacio Absolutely maximally entangled (AME) states are those multipartite quantum states that carry absolute maximum entanglement in all possible bipartitions. AME states are known to play a relevant role in multipartite teleportation, in quantum secret sharing, and they provide the basis novel tensor networks related to holography. We present alternative constructions of AME states and show their link with combinatorial designs. We also analyze a key property of AME states, namely, their relation to tensors, which can be understood as unitary transformations in all of their bipartitions. We call this property multiunitarity. Grant FIS2013-41757-P 2015-09-16T12:27:47Z 2015-09-16T12:27:47Z 2015-09 2015-07 2015-09-15T22:00:07Z Article http://purl.org/eprint/type/JournalArticle 1050-2947 1094-1622 http://hdl.handle.net/1721.1/98529 Goyeneche, Dardo, Daniel Alsina, Jose I. Latorre, Arnau Riera, and Karol Zyczkowski. "Absolutely maximally entangled states, combinatorial designs, and multiunitary matrices." Phys. Rev. A 92, 032316 (September 2015). © 2015 American Physical Society en http://dx.doi.org/10.1103/PhysRevA.92.032316 Physical Review A 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 | Goyeneche, Dardo Alsina, Daniel Riera, Arnau Latorre, Jose Ignacio Zyczkowski, Karol Absolutely maximally entangled states, combinatorial designs, and multiunitary matrices |
| title | Absolutely maximally entangled states, combinatorial designs, and multiunitary matrices |
| title_full | Absolutely maximally entangled states, combinatorial designs, and multiunitary matrices |
| title_fullStr | Absolutely maximally entangled states, combinatorial designs, and multiunitary matrices |
| title_full_unstemmed | Absolutely maximally entangled states, combinatorial designs, and multiunitary matrices |
| title_short | Absolutely maximally entangled states, combinatorial designs, and multiunitary matrices |
| title_sort | absolutely maximally entangled states combinatorial designs and multiunitary matrices |
| url | http://hdl.handle.net/1721.1/98529 |
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