Nonclassicality by Local Gaussian Unitary Operations for Gaussian States
A measure of nonclassicality N in terms of local Gaussian unitary operations for bipartite Gaussian states is introduced. N is a faithful quantum correlation measure for Gaussian states as product states have no such correlation and every non product Gaussian state contains it. For any b...
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| Format: | Article |
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MDPI AG
2018-04-01
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| Series: | Entropy |
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| Online Access: | http://www.mdpi.com/1099-4300/20/4/266 |
| _version_ | 1798042230239264768 |
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| author | Yangyang Wang Xiaofei Qi Jinchuan Hou |
| author_facet | Yangyang Wang Xiaofei Qi Jinchuan Hou |
| author_sort | Yangyang Wang |
| collection | DOAJ |
| description | A measure of nonclassicality N in terms of local Gaussian unitary operations for bipartite Gaussian states is introduced. N is a faithful quantum correlation measure for Gaussian states as product states have no such correlation and every non product Gaussian state contains it. For any bipartite Gaussian state ρ A B , we always have 0 ≤ N ( ρ A B ) < 1 , where the upper bound 1 is sharp. An explicit formula of N for ( 1 + 1 ) -mode Gaussian states and an estimate of N for ( n + m ) -mode Gaussian states are presented. A criterion of entanglement is established in terms of this correlation. The quantum correlation N is also compared with entanglement, Gaussian discord and Gaussian geometric discord. |
| first_indexed | 2024-04-11T22:32:36Z |
| format | Article |
| id | doaj.art-08166655c1cf47878e0267a3b3e07037 |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-04-11T22:32:36Z |
| publishDate | 2018-04-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-08166655c1cf47878e0267a3b3e070372022-12-22T03:59:19ZengMDPI AGEntropy1099-43002018-04-0120426610.3390/e20040266e20040266Nonclassicality by Local Gaussian Unitary Operations for Gaussian StatesYangyang Wang0Xiaofei Qi1Jinchuan Hou2Department of Mathematics, Shanxi University, Taiyuan 030006, ChinaDepartment of Mathematics, Shanxi University, Taiyuan 030006, ChinaDepartment of Mathematics, Shanxi University, Taiyuan 030006, ChinaA measure of nonclassicality N in terms of local Gaussian unitary operations for bipartite Gaussian states is introduced. N is a faithful quantum correlation measure for Gaussian states as product states have no such correlation and every non product Gaussian state contains it. For any bipartite Gaussian state ρ A B , we always have 0 ≤ N ( ρ A B ) < 1 , where the upper bound 1 is sharp. An explicit formula of N for ( 1 + 1 ) -mode Gaussian states and an estimate of N for ( n + m ) -mode Gaussian states are presented. A criterion of entanglement is established in terms of this correlation. The quantum correlation N is also compared with entanglement, Gaussian discord and Gaussian geometric discord.http://www.mdpi.com/1099-4300/20/4/266quantum correlationsGaussian statesGaussian unitary operationscontinuous-variable systems |
| spellingShingle | Yangyang Wang Xiaofei Qi Jinchuan Hou Nonclassicality by Local Gaussian Unitary Operations for Gaussian States Entropy quantum correlations Gaussian states Gaussian unitary operations continuous-variable systems |
| title | Nonclassicality by Local Gaussian Unitary Operations for Gaussian States |
| title_full | Nonclassicality by Local Gaussian Unitary Operations for Gaussian States |
| title_fullStr | Nonclassicality by Local Gaussian Unitary Operations for Gaussian States |
| title_full_unstemmed | Nonclassicality by Local Gaussian Unitary Operations for Gaussian States |
| title_short | Nonclassicality by Local Gaussian Unitary Operations for Gaussian States |
| title_sort | nonclassicality by local gaussian unitary operations for gaussian states |
| topic | quantum correlations Gaussian states Gaussian unitary operations continuous-variable systems |
| url | http://www.mdpi.com/1099-4300/20/4/266 |
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