Quantification of Gaussian quantum steering
Einstein-Podolsky-Rosen steering incarnates a useful nonclassical correlation which sits between entanglement and Bell nonlocality. While a number of qualitative steering criteria exist, very little has been achieved for what concerns quantifying steerability. We introduce a computable measure of st...
| Main Authors: | , , , |
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| Format: | Article |
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American Physical Society
2015
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| Online Access: | https://eprints.nottingham.ac.uk/47181/ |
| _version_ | 1848797483927339008 |
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| author | Kogias, Ioannis Lee, Antony R. Ragy, Sammy Adesso, Gerardo |
| author_facet | Kogias, Ioannis Lee, Antony R. Ragy, Sammy Adesso, Gerardo |
| author_sort | Kogias, Ioannis |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | Einstein-Podolsky-Rosen steering incarnates a useful nonclassical correlation which sits between entanglement and Bell nonlocality. While a number of qualitative steering criteria exist, very little has been achieved for what concerns quantifying steerability. We introduce a computable measure of steering for arbitrary bipartite Gaussian states of continuous variable systems. For two mode Gaussian states, the measure reduces to a form of coherent information, which is proven never to exceed entanglement, and to reduce to it on pure states. We provide an operational connection between our measure and the key rate in one-sided device-independent quantum key distribution. We further prove that Peres’ conjecture holds in its stronger form within the fully Gaussian regime: namely, steering bound entangled Gaussian states by Gaussian measurements is impossible. |
| first_indexed | 2025-11-14T20:04:36Z |
| format | Article |
| id | nottingham-47181 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T20:04:36Z |
| publishDate | 2015 |
| publisher | American Physical Society |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-471812020-05-04T17:02:43Z https://eprints.nottingham.ac.uk/47181/ Quantification of Gaussian quantum steering Kogias, Ioannis Lee, Antony R. Ragy, Sammy Adesso, Gerardo Einstein-Podolsky-Rosen steering incarnates a useful nonclassical correlation which sits between entanglement and Bell nonlocality. While a number of qualitative steering criteria exist, very little has been achieved for what concerns quantifying steerability. We introduce a computable measure of steering for arbitrary bipartite Gaussian states of continuous variable systems. For two mode Gaussian states, the measure reduces to a form of coherent information, which is proven never to exceed entanglement, and to reduce to it on pure states. We provide an operational connection between our measure and the key rate in one-sided device-independent quantum key distribution. We further prove that Peres’ conjecture holds in its stronger form within the fully Gaussian regime: namely, steering bound entangled Gaussian states by Gaussian measurements is impossible. American Physical Society 2015-02-12 Article PeerReviewed Kogias, Ioannis, Lee, Antony R., Ragy, Sammy and Adesso, Gerardo (2015) Quantification of Gaussian quantum steering. Physical Review Letters, 114 (6). 060403-1-060403-6. ISSN 1079-7114 https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.114.060403 doi:10.1103/PhysRevLett.114.060403 doi:10.1103/PhysRevLett.114.060403 |
| spellingShingle | Kogias, Ioannis Lee, Antony R. Ragy, Sammy Adesso, Gerardo Quantification of Gaussian quantum steering |
| title | Quantification of Gaussian quantum steering |
| title_full | Quantification of Gaussian quantum steering |
| title_fullStr | Quantification of Gaussian quantum steering |
| title_full_unstemmed | Quantification of Gaussian quantum steering |
| title_short | Quantification of Gaussian quantum steering |
| title_sort | quantification of gaussian quantum steering |
| url | https://eprints.nottingham.ac.uk/47181/ https://eprints.nottingham.ac.uk/47181/ https://eprints.nottingham.ac.uk/47181/ |