Violation of Continuous-Variable Einstein-Podolsky-Rosen Steering with Discrete Measurements
In this Letter, we derive an entropic Einstein-Podolsky-Rosen (EPR) steering inequality for continuous-variable systems using only experimentally measured discrete probability distributions and details of the measurement apparatus. We use this inequality to witness EPR steering between the positions...
| Main Authors: | , , , , |
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| Other Authors: | |
| Format: | Article |
| Language: | en_US |
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American Physical Society
2013
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| Online Access: | http://hdl.handle.net/1721.1/79586 |
| _version_ | 1811083591478673408 |
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| author | Schneeloch, James Dixon, P. Ben Howland, Gregory A. Broadbent, Curtis J. Howell, John C. |
| author2 | Massachusetts Institute of Technology. Research Laboratory of Electronics |
| author_facet | Massachusetts Institute of Technology. Research Laboratory of Electronics Schneeloch, James Dixon, P. Ben Howland, Gregory A. Broadbent, Curtis J. Howell, John C. |
| author_sort | Schneeloch, James |
| collection | MIT |
| description | In this Letter, we derive an entropic Einstein-Podolsky-Rosen (EPR) steering inequality for continuous-variable systems using only experimentally measured discrete probability distributions and details of the measurement apparatus. We use this inequality to witness EPR steering between the positions and momenta of photon pairs generated in spontaneous parametric down-conversion. We examine the asymmetry between parties in this inequality, and show that this asymmetry can be used to reduce the technical requirements of experimental setups intended to demonstrate the EPR paradox. Furthermore, we develop a more stringent steering inequality that is symmetric between parties, and use it to show that the down-converted photon pairs also exhibit symmetric EPR steering. |
| first_indexed | 2024-09-23T12:35:31Z |
| format | Article |
| id | mit-1721.1/79586 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T12:35:31Z |
| publishDate | 2013 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/795862022-09-28T08:48:59Z Violation of Continuous-Variable Einstein-Podolsky-Rosen Steering with Discrete Measurements Schneeloch, James Dixon, P. Ben Howland, Gregory A. Broadbent, Curtis J. Howell, John C. Massachusetts Institute of Technology. Research Laboratory of Electronics Dixon, P. Ben In this Letter, we derive an entropic Einstein-Podolsky-Rosen (EPR) steering inequality for continuous-variable systems using only experimentally measured discrete probability distributions and details of the measurement apparatus. We use this inequality to witness EPR steering between the positions and momenta of photon pairs generated in spontaneous parametric down-conversion. We examine the asymmetry between parties in this inequality, and show that this asymmetry can be used to reduce the technical requirements of experimental setups intended to demonstrate the EPR paradox. Furthermore, we develop a more stringent steering inequality that is symmetric between parties, and use it to show that the down-converted photon pairs also exhibit symmetric EPR steering. 2013-07-11T18:42:33Z 2013-07-11T18:42:33Z 2013-03 2013-01 Article http://purl.org/eprint/type/JournalArticle 0031-9007 1079-7114 http://hdl.handle.net/1721.1/79586 Schneeloch, James, P. Ben Dixon, Gregory A. Howland, Curtis J. Broadbent, and John C. Howell 2013Violation of Continuous-Variable Einstein-Podolsky-Rosen Steering with Discrete Measurements. Physical Review Letters 110(13). © 2013 American Physical Society en_US http://dx.doi.org/10.1103/PhysRevLett.110.130407 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 | Schneeloch, James Dixon, P. Ben Howland, Gregory A. Broadbent, Curtis J. Howell, John C. Violation of Continuous-Variable Einstein-Podolsky-Rosen Steering with Discrete Measurements |
| title | Violation of Continuous-Variable Einstein-Podolsky-Rosen Steering with Discrete Measurements |
| title_full | Violation of Continuous-Variable Einstein-Podolsky-Rosen Steering with Discrete Measurements |
| title_fullStr | Violation of Continuous-Variable Einstein-Podolsky-Rosen Steering with Discrete Measurements |
| title_full_unstemmed | Violation of Continuous-Variable Einstein-Podolsky-Rosen Steering with Discrete Measurements |
| title_short | Violation of Continuous-Variable Einstein-Podolsky-Rosen Steering with Discrete Measurements |
| title_sort | violation of continuous variable einstein podolsky rosen steering with discrete measurements |
| url | http://hdl.handle.net/1721.1/79586 |
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