The Volume of Two-Qubit States by Information Geometry
Using the information geometry approach, we determine the volume of the set of two-qubit states with maximally disordered subsystems. Particular attention is devoted to the behavior of the volume of sub-manifolds of separable and entangled states with fixed purity. We show that the usage of the clas...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2018-02-01
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| Series: | Entropy |
| Subjects: | |
| Online Access: | http://www.mdpi.com/1099-4300/20/2/146 |
| _version_ | 1818007023055273984 |
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| author | Milajiguli Rexiti Domenico Felice Stefano Mancini |
| author_facet | Milajiguli Rexiti Domenico Felice Stefano Mancini |
| author_sort | Milajiguli Rexiti |
| collection | DOAJ |
| description | Using the information geometry approach, we determine the volume of the set of two-qubit states with maximally disordered subsystems. Particular attention is devoted to the behavior of the volume of sub-manifolds of separable and entangled states with fixed purity. We show that the usage of the classical Fisher metric on phase space probability representation of quantum states gives the same qualitative results with respect to different versions of the quantum Fisher metric. |
| first_indexed | 2024-04-14T05:10:05Z |
| format | Article |
| id | doaj.art-bbc5cfb72f7e43ca8e5b051efe53be61 |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-04-14T05:10:05Z |
| publishDate | 2018-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-bbc5cfb72f7e43ca8e5b051efe53be612022-12-22T02:10:36ZengMDPI AGEntropy1099-43002018-02-0120214610.3390/e20020146e20020146The Volume of Two-Qubit States by Information GeometryMilajiguli Rexiti0Domenico Felice1Stefano Mancini2School of Advanced Studies, University of Camerino, 62032 Camerino, ItalyMax Planck Institute for Mathematics in the Sciences, Inselstrasse 22-04103 Leipzig, GermanySchool of Science and Technology, University of Camerino, 62032 Camerino, ItalyUsing the information geometry approach, we determine the volume of the set of two-qubit states with maximally disordered subsystems. Particular attention is devoted to the behavior of the volume of sub-manifolds of separable and entangled states with fixed purity. We show that the usage of the classical Fisher metric on phase space probability representation of quantum states gives the same qualitative results with respect to different versions of the quantum Fisher metric.http://www.mdpi.com/1099-4300/20/2/146information theoryRiemannian geometryentanglement characterization |
| spellingShingle | Milajiguli Rexiti Domenico Felice Stefano Mancini The Volume of Two-Qubit States by Information Geometry Entropy information theory Riemannian geometry entanglement characterization |
| title | The Volume of Two-Qubit States by Information Geometry |
| title_full | The Volume of Two-Qubit States by Information Geometry |
| title_fullStr | The Volume of Two-Qubit States by Information Geometry |
| title_full_unstemmed | The Volume of Two-Qubit States by Information Geometry |
| title_short | The Volume of Two-Qubit States by Information Geometry |
| title_sort | volume of two qubit states by information geometry |
| topic | information theory Riemannian geometry entanglement characterization |
| url | http://www.mdpi.com/1099-4300/20/2/146 |
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