Entropic Steering Criteria: Applications to Bipartite and Tripartite Systems
The effect of quantum steering describes a possible action at a distance via local measurements. Whereas many attempts on characterizing steerability have been pursued, answering the question as to whether a given state is steerable or not remains a difficult task. Here, we investigate the applicabi...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2018-10-01
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| Series: | Entropy |
| Subjects: | |
| Online Access: | http://www.mdpi.com/1099-4300/20/10/763 |
| _version_ | 1798043478874128384 |
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| author | Ana C. S. Costa Roope Uola Otfried Gühne |
| author_facet | Ana C. S. Costa Roope Uola Otfried Gühne |
| author_sort | Ana C. S. Costa |
| collection | DOAJ |
| description | The effect of quantum steering describes a possible action at a distance via local measurements. Whereas many attempts on characterizing steerability have been pursued, answering the question as to whether a given state is steerable or not remains a difficult task. Here, we investigate the applicability of a recently proposed method for building steering criteria from generalized entropic uncertainty relations. This method works for any entropy which satisfy the properties of (i) (pseudo-) additivity for independent distributions; (ii) state independent entropic uncertainty relation (EUR); and (iii) joint convexity of a corresponding relative entropy. Our study extends the former analysis to Tsallis and Rényi entropies on bipartite and tripartite systems. As examples, we investigate the steerability of the three-qubit GHZ and W states. |
| first_indexed | 2024-04-11T22:49:36Z |
| format | Article |
| id | doaj.art-267d3f683dd8484fb0d67d409fb95212 |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-04-11T22:49:36Z |
| publishDate | 2018-10-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-267d3f683dd8484fb0d67d409fb952122022-12-22T03:58:37ZengMDPI AGEntropy1099-43002018-10-01201076310.3390/e20100763e20100763Entropic Steering Criteria: Applications to Bipartite and Tripartite SystemsAna C. S. Costa0Roope Uola1Otfried Gühne2Naturwissenschaftlich-Technische Fakultät, Universität Siegen, 57068 Siegen, GermanyNaturwissenschaftlich-Technische Fakultät, Universität Siegen, 57068 Siegen, GermanyNaturwissenschaftlich-Technische Fakultät, Universität Siegen, 57068 Siegen, GermanyThe effect of quantum steering describes a possible action at a distance via local measurements. Whereas many attempts on characterizing steerability have been pursued, answering the question as to whether a given state is steerable or not remains a difficult task. Here, we investigate the applicability of a recently proposed method for building steering criteria from generalized entropic uncertainty relations. This method works for any entropy which satisfy the properties of (i) (pseudo-) additivity for independent distributions; (ii) state independent entropic uncertainty relation (EUR); and (iii) joint convexity of a corresponding relative entropy. Our study extends the former analysis to Tsallis and Rényi entropies on bipartite and tripartite systems. As examples, we investigate the steerability of the three-qubit GHZ and W states.http://www.mdpi.com/1099-4300/20/10/763steeringentropic uncertainty relationgeneral entropies |
| spellingShingle | Ana C. S. Costa Roope Uola Otfried Gühne Entropic Steering Criteria: Applications to Bipartite and Tripartite Systems Entropy steering entropic uncertainty relation general entropies |
| title | Entropic Steering Criteria: Applications to Bipartite and Tripartite Systems |
| title_full | Entropic Steering Criteria: Applications to Bipartite and Tripartite Systems |
| title_fullStr | Entropic Steering Criteria: Applications to Bipartite and Tripartite Systems |
| title_full_unstemmed | Entropic Steering Criteria: Applications to Bipartite and Tripartite Systems |
| title_short | Entropic Steering Criteria: Applications to Bipartite and Tripartite Systems |
| title_sort | entropic steering criteria applications to bipartite and tripartite systems |
| topic | steering entropic uncertainty relation general entropies |
| url | http://www.mdpi.com/1099-4300/20/10/763 |
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