Numerical method for finding decoherence-free subspaces and its applications
In this work, inspired by the study of semidefinite programming for block-diagonalizing matrix *-algebras, we propose an algorithm that can find the algebraic structure of decoherence-free subspaces (DFS's) for a given noisy quantum channel. We prove that this algorithm will work for all cases...
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| Format: | Article |
| Language: | en_US |
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American Physical Society
2013
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| Online Access: | http://hdl.handle.net/1721.1/78269 |
| _version_ | 1811091265635221504 |
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| author | Wang, Xiaoting Byrd, Mark Jacobs, Kurt |
| author2 | Massachusetts Institute of Technology. Research Laboratory of Electronics |
| author_facet | Massachusetts Institute of Technology. Research Laboratory of Electronics Wang, Xiaoting Byrd, Mark Jacobs, Kurt |
| author_sort | Wang, Xiaoting |
| collection | MIT |
| description | In this work, inspired by the study of semidefinite programming for block-diagonalizing matrix *-algebras, we propose an algorithm that can find the algebraic structure of decoherence-free subspaces (DFS's) for a given noisy quantum channel. We prove that this algorithm will work for all cases with probability 1, and it is more efficient than the algorithm proposed by J. A. Holbrook, D. W. Kribs and R. Laflamme Quantum. Inf. Proc. 80 381 (2003)]. In fact, our results reveal that this previous algorithm only works for special cases. As an application, we discuss how this method can be applied to increase the efficiency of an optimization procedure for finding an approximate DFS. |
| first_indexed | 2024-09-23T14:59:45Z |
| format | Article |
| id | mit-1721.1/78269 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T14:59:45Z |
| publishDate | 2013 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/782692022-09-29T11:55:27Z Numerical method for finding decoherence-free subspaces and its applications Wang, Xiaoting Byrd, Mark Jacobs, Kurt Massachusetts Institute of Technology. Research Laboratory of Electronics Wang, Xiaoting In this work, inspired by the study of semidefinite programming for block-diagonalizing matrix *-algebras, we propose an algorithm that can find the algebraic structure of decoherence-free subspaces (DFS's) for a given noisy quantum channel. We prove that this algorithm will work for all cases with probability 1, and it is more efficient than the algorithm proposed by J. A. Holbrook, D. W. Kribs and R. Laflamme Quantum. Inf. Proc. 80 381 (2003)]. In fact, our results reveal that this previous algorithm only works for special cases. As an application, we discuss how this method can be applied to increase the efficiency of an optimization procedure for finding an approximate DFS. National Science Foundation (U.S.) (Project PHY-0902906) United States. Army Research Office. Multidisciplinary University Research Initiative (Grant W911NF-11-1-0268) 2013-04-03T16:22:07Z 2013-04-03T16:22:07Z 2013-01 2012-12 Article http://purl.org/eprint/type/JournalArticle 1050-2947 1094-1622 http://hdl.handle.net/1721.1/78269 Wang, Xiaoting, Mark Byrd, and Kurt Jacobs. “Numerical Method for Finding Decoherence-free Subspaces and Its Applications.” Physical Review A 87.1 (2013). ©2013 American Physical Society en_US http://dx.doi.org/10.1103/PhysRevA.87.012338 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. application/pdf American Physical Society APS |
| spellingShingle | Wang, Xiaoting Byrd, Mark Jacobs, Kurt Numerical method for finding decoherence-free subspaces and its applications |
| title | Numerical method for finding decoherence-free subspaces and its applications |
| title_full | Numerical method for finding decoherence-free subspaces and its applications |
| title_fullStr | Numerical method for finding decoherence-free subspaces and its applications |
| title_full_unstemmed | Numerical method for finding decoherence-free subspaces and its applications |
| title_short | Numerical method for finding decoherence-free subspaces and its applications |
| title_sort | numerical method for finding decoherence free subspaces and its applications |
| url | http://hdl.handle.net/1721.1/78269 |
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