Optimality of Gaussian Discord
In this Letter we exploit the recently solved conjecture on the bosonic minimum output entropy to show the optimality of Gaussian discord, so that the computation of quantum discord for bipartite Gaussian states can be restricted to local Gaussian measurements. We prove such optimality for a large f...
| Main Authors: | , , , , |
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| Other Authors: | |
| Format: | Article |
| Language: | en_US |
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American Physical Society
2017
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| Online Access: | http://hdl.handle.net/1721.1/107470 |
| _version_ | 1811077478830047232 |
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| author | Pirandola, Stefano Spedalieri, Gaetana Braunstein, Samuel L. Cerf, Nicolas J. Lloyd, Seth |
| author2 | Massachusetts Institute of Technology. Department of Mechanical Engineering |
| author_facet | Massachusetts Institute of Technology. Department of Mechanical Engineering Pirandola, Stefano Spedalieri, Gaetana Braunstein, Samuel L. Cerf, Nicolas J. Lloyd, Seth |
| author_sort | Pirandola, Stefano |
| collection | MIT |
| description | In this Letter we exploit the recently solved conjecture on the bosonic minimum output entropy to show the optimality of Gaussian discord, so that the computation of quantum discord for bipartite Gaussian states can be restricted to local Gaussian measurements. We prove such optimality for a large family of Gaussian states, including all two-mode squeezed thermal states, which are the most typical Gaussian states realized in experiments. Our family also includes other types of Gaussian states and spans their entire set in a suitable limit where they become Choi matrices of Gaussian channels. As a result, we completely characterize the quantum correlations possessed by some of the most important bosonic states in quantum optics and quantum information. |
| first_indexed | 2024-09-23T10:43:22Z |
| format | Article |
| id | mit-1721.1/107470 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T10:43:22Z |
| publishDate | 2017 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/1074702022-09-30T22:33:30Z Optimality of Gaussian Discord Pirandola, Stefano Spedalieri, Gaetana Braunstein, Samuel L. Cerf, Nicolas J. Lloyd, Seth Massachusetts Institute of Technology. Department of Mechanical Engineering Massachusetts Institute of Technology. Research Laboratory of Electronics Lloyd, Seth Lloyd, Seth In this Letter we exploit the recently solved conjecture on the bosonic minimum output entropy to show the optimality of Gaussian discord, so that the computation of quantum discord for bipartite Gaussian states can be restricted to local Gaussian measurements. We prove such optimality for a large family of Gaussian states, including all two-mode squeezed thermal states, which are the most typical Gaussian states realized in experiments. Our family also includes other types of Gaussian states and spans their entire set in a suitable limit where they become Choi matrices of Gaussian channels. As a result, we completely characterize the quantum correlations possessed by some of the most important bosonic states in quantum optics and quantum information. Leverhulme Trust Engineering and Physical Sciences Research Council (EP/J00796X/1, EP/L011298/1) 2017-03-17T16:34:02Z 2017-03-17T16:34:02Z 2014-10 2013-09 Article http://purl.org/eprint/type/JournalArticle 0031-9007 1079-7114 http://hdl.handle.net/1721.1/107470 Pirandola, Stefano, Gaetana Spedalieri, Samuel L. Braunstein, Nicolas J. Cerf, and Seth Lloyd. “Optimality of Gaussian Discord.” Physical Review Letters 113, no. 14 (October 3, 2014). ©2014 American Physical Society en_US http://dx.doi.org/10.1103/PhysRevLett.113.140405 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. application/pdf American Physical Society APS |
| spellingShingle | Pirandola, Stefano Spedalieri, Gaetana Braunstein, Samuel L. Cerf, Nicolas J. Lloyd, Seth Optimality of Gaussian Discord |
| title | Optimality of Gaussian Discord |
| title_full | Optimality of Gaussian Discord |
| title_fullStr | Optimality of Gaussian Discord |
| title_full_unstemmed | Optimality of Gaussian Discord |
| title_short | Optimality of Gaussian Discord |
| title_sort | optimality of gaussian discord |
| url | http://hdl.handle.net/1721.1/107470 |
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