No-activation theorem for Gaussian nonclassical correlations by Gaussian operations
We study general quantum correlations of continuous variable Gaussian states and their interplay with entanglement. Specifically, we investigate the existence of a quantum protocol activating all nonclassical correlations between the subsystems of an input bipartite continuous variable system, into...
| Main Authors: | , , |
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| Format: | Article |
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American Physical Society
2014
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| Online Access: | https://eprints.nottingham.ac.uk/47211/ |
| _version_ | 1848797490983206912 |
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| author | Mišta, Ladislav McNulty, Daniel Adesso, Gerardo |
| author_facet | Mišta, Ladislav McNulty, Daniel Adesso, Gerardo |
| author_sort | Mišta, Ladislav |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | We study general quantum correlations of continuous variable Gaussian states and their interplay with entanglement. Specifically, we investigate the existence of a quantum protocol activating all nonclassical correlations between the subsystems of an input bipartite continuous variable system, into output entanglement between the system and a set of ancillae. For input Gaussian states, we prove that such an activation protocol cannot be accomplished with Gaussian operations, as the latter are unable to create any output entanglement from an initial separable yet nonclassical state in a worst-case scenario. We then construct a faithful non-Gaussian activation protocol, encompassing infinite-dimensional generalizations of controlled-not gates to generate entanglement between system and ancillae, in direct analogy with the finite-dimensional case. We finally calculate the negativity of quantumness, an operational measure of nonclassical correlations defined in terms of the performance of the activation protocol, for relevant classes of two-mode Gaussian states. |
| first_indexed | 2025-11-14T20:04:43Z |
| format | Article |
| id | nottingham-47211 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T20:04:43Z |
| publishDate | 2014 |
| publisher | American Physical Society |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-472112020-05-04T16:52:08Z https://eprints.nottingham.ac.uk/47211/ No-activation theorem for Gaussian nonclassical correlations by Gaussian operations Mišta, Ladislav McNulty, Daniel Adesso, Gerardo We study general quantum correlations of continuous variable Gaussian states and their interplay with entanglement. Specifically, we investigate the existence of a quantum protocol activating all nonclassical correlations between the subsystems of an input bipartite continuous variable system, into output entanglement between the system and a set of ancillae. For input Gaussian states, we prove that such an activation protocol cannot be accomplished with Gaussian operations, as the latter are unable to create any output entanglement from an initial separable yet nonclassical state in a worst-case scenario. We then construct a faithful non-Gaussian activation protocol, encompassing infinite-dimensional generalizations of controlled-not gates to generate entanglement between system and ancillae, in direct analogy with the finite-dimensional case. We finally calculate the negativity of quantumness, an operational measure of nonclassical correlations defined in terms of the performance of the activation protocol, for relevant classes of two-mode Gaussian states. American Physical Society 2014-08-25 Article PeerReviewed Mišta, Ladislav, McNulty, Daniel and Adesso, Gerardo (2014) No-activation theorem for Gaussian nonclassical correlations by Gaussian operations. Physical Review A, 90 (2). 022328-1. ISSN 2469-9934 https://journals.aps.org/pra/abstract/10.1103/PhysRevA.90.022328 doi:10.1103/PhysRevA.90.022328 doi:10.1103/PhysRevA.90.022328 |
| spellingShingle | Mišta, Ladislav McNulty, Daniel Adesso, Gerardo No-activation theorem for Gaussian nonclassical correlations by Gaussian operations |
| title | No-activation theorem for Gaussian nonclassical correlations by Gaussian operations |
| title_full | No-activation theorem for Gaussian nonclassical correlations by Gaussian operations |
| title_fullStr | No-activation theorem for Gaussian nonclassical correlations by Gaussian operations |
| title_full_unstemmed | No-activation theorem for Gaussian nonclassical correlations by Gaussian operations |
| title_short | No-activation theorem for Gaussian nonclassical correlations by Gaussian operations |
| title_sort | no-activation theorem for gaussian nonclassical correlations by gaussian operations |
| url | https://eprints.nottingham.ac.uk/47211/ https://eprints.nottingham.ac.uk/47211/ https://eprints.nottingham.ac.uk/47211/ |