Minimal noise subsystems
A system subjected to noise contains a decoherence-free subspace or subsystem (DFS) only if the noise possesses an exact symmetry. Here we consider noise models in which a perturbation breaks a symmetry of the noise, so that if S is a DFS under a given noise process it is no longer so under the new...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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American Physical Society
2016
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| Online Access: | http://hdl.handle.net/1721.1/101603 |
| _version_ | 1826208594129846272 |
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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 | A system subjected to noise contains a decoherence-free subspace or subsystem (DFS) only if the noise possesses an exact symmetry. Here we consider noise models in which a perturbation breaks a symmetry of the noise, so that if S is a DFS under a given noise process it is no longer so under the new perturbed noise process. We ask whether there is a subspace or subsystem that is more robust to the perturbed noise than S. To answer this question we develop a numerical method that allows us to search for subspaces or subsystems that are maximally robust to arbitrary noise processes. We apply this method to a number of examples, and find that a subsystem that is a DFS is often not the subsystem that experiences minimal noise when the symmetry of the noise is broken by a perturbation. We discuss which classes of noise have this property. |
| first_indexed | 2024-09-23T14:07:47Z |
| format | Article |
| id | mit-1721.1/101603 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T14:07:47Z |
| publishDate | 2016 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/1016032022-10-01T19:24:50Z Minimal noise subsystems Wang, Xiaoting Byrd, Mark Jacobs, Kurt Massachusetts Institute of Technology. Research Laboratory of Electronics Wang, Xiaoting A system subjected to noise contains a decoherence-free subspace or subsystem (DFS) only if the noise possesses an exact symmetry. Here we consider noise models in which a perturbation breaks a symmetry of the noise, so that if S is a DFS under a given noise process it is no longer so under the new perturbed noise process. We ask whether there is a subspace or subsystem that is more robust to the perturbed noise than S. To answer this question we develop a numerical method that allows us to search for subspaces or subsystems that are maximally robust to arbitrary noise processes. We apply this method to a number of examples, and find that a subsystem that is a DFS is often not the subsystem that experiences minimal noise when the symmetry of the noise is broken by a perturbation. We discuss which classes of noise have this property. National Science Foundation (U.S.) (Project PHY-0902906) National Science Foundation (U.S.) (Project CCF-1350397) United States. Intelligence Advanced Research Projects Activity (United States. Dept. of Interior. National Business Center Contract D11PC20168) 2016-03-04T17:11:28Z 2016-03-04T17:11:28Z 2016-03 2015-04 2016-03-03T23:00:03Z Article http://purl.org/eprint/type/JournalArticle 0031-9007 1079-7114 http://hdl.handle.net/1721.1/101603 Wang, Xiaoting, Mark Byrd, and Kurt Jacobs. “Minimal Noise Subsystems.” Physical Review Letters 116, no. 9 (March 3, 2016). © 2016 American Physical Society en http://dx.doi.org/10.1103/PhysRevLett.116.090404 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 | Wang, Xiaoting Byrd, Mark Jacobs, Kurt Minimal noise subsystems |
| title | Minimal noise subsystems |
| title_full | Minimal noise subsystems |
| title_fullStr | Minimal noise subsystems |
| title_full_unstemmed | Minimal noise subsystems |
| title_short | Minimal noise subsystems |
| title_sort | minimal noise subsystems |
| url | http://hdl.handle.net/1721.1/101603 |
| work_keys_str_mv | AT wangxiaoting minimalnoisesubsystems AT byrdmark minimalnoisesubsystems AT jacobskurt minimalnoisesubsystems |