Quantum versus classical correlations in Gaussian states.
Quantum discord, a measure of genuinely quantum correlations, is generalized to continuous variable systems. For all two-mode Gaussian states, we calculate analytically the quantum discord and a related measure of classical correlations, solving an optimization over all Gaussian measurements. Almost...
| Main Authors: | , |
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| Format: | Journal article |
| Language: | English |
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2010
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| _version_ | 1826257938739625984 |
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| author | Adesso, G Datta, A |
| author_facet | Adesso, G Datta, A |
| author_sort | Adesso, G |
| collection | OXFORD |
| description | Quantum discord, a measure of genuinely quantum correlations, is generalized to continuous variable systems. For all two-mode Gaussian states, we calculate analytically the quantum discord and a related measure of classical correlations, solving an optimization over all Gaussian measurements. Almost all two-mode Gaussian states are shown to have quantum correlations, while for separable states, the discord is smaller than unity. For a given amount of entanglement, it admits tight upper and lower bounds. Via a duality between entanglement and classical correlations, we derive a closed formula for the Gaussian entanglement of formation of a family of three-mode Gaussian states. |
| first_indexed | 2024-03-06T18:26:07Z |
| format | Journal article |
| id | oxford-uuid:08033ae7-dcbf-4e01-aed2-59decf667c72 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T18:26:07Z |
| publishDate | 2010 |
| record_format | dspace |
| spelling | oxford-uuid:08033ae7-dcbf-4e01-aed2-59decf667c722022-03-26T09:10:38ZQuantum versus classical correlations in Gaussian states.Journal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:08033ae7-dcbf-4e01-aed2-59decf667c72EnglishSymplectic Elements at Oxford2010Adesso, GDatta, AQuantum discord, a measure of genuinely quantum correlations, is generalized to continuous variable systems. For all two-mode Gaussian states, we calculate analytically the quantum discord and a related measure of classical correlations, solving an optimization over all Gaussian measurements. Almost all two-mode Gaussian states are shown to have quantum correlations, while for separable states, the discord is smaller than unity. For a given amount of entanglement, it admits tight upper and lower bounds. Via a duality between entanglement and classical correlations, we derive a closed formula for the Gaussian entanglement of formation of a family of three-mode Gaussian states. |
| spellingShingle | Adesso, G Datta, A Quantum versus classical correlations in Gaussian states. |
| title | Quantum versus classical correlations in Gaussian states. |
| title_full | Quantum versus classical correlations in Gaussian states. |
| title_fullStr | Quantum versus classical correlations in Gaussian states. |
| title_full_unstemmed | Quantum versus classical correlations in Gaussian states. |
| title_short | Quantum versus classical correlations in Gaussian states. |
| title_sort | quantum versus classical correlations in gaussian states |
| work_keys_str_mv | AT adessog quantumversusclassicalcorrelationsingaussianstates AT dattaa quantumversusclassicalcorrelationsingaussianstates |