Preservers for the Tsallis Entropy of Convex Combinations of Density Operators
Let H be a complex separable Hilbert space; we first characterize the unitary equivalence of two density operators by use of Tsallis entropy and then obtain the form of a surjective map on density operators preserving Tsallis entropy of convex combinations.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2018/5296085 |
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| _version_ | 1832556389423120384 |
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| author | Xiaochun Fang Yihui Lao |
| author_facet | Xiaochun Fang Yihui Lao |
| author_sort | Xiaochun Fang |
| collection | DOAJ |
| description | Let H be a complex separable Hilbert space; we first characterize the unitary equivalence of two density operators by use of Tsallis entropy and then obtain the form of a surjective map on density operators preserving Tsallis entropy of convex combinations. |
| format | Article |
| id | doaj-art-588d27555e0947149e1a90efb9c58199 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-588d27555e0947149e1a90efb9c581992025-02-03T05:45:31ZengWileyAdvances in Mathematical Physics1687-91201687-91392018-01-01201810.1155/2018/52960855296085Preservers for the Tsallis Entropy of Convex Combinations of Density OperatorsXiaochun Fang0Yihui Lao1Department of Mathematics, Tongji University, Shanghai 200092, ChinaDepartment of Mathematics, Tongji University, Shanghai 200092, ChinaLet H be a complex separable Hilbert space; we first characterize the unitary equivalence of two density operators by use of Tsallis entropy and then obtain the form of a surjective map on density operators preserving Tsallis entropy of convex combinations.http://dx.doi.org/10.1155/2018/5296085 |
| spellingShingle | Xiaochun Fang Yihui Lao Preservers for the Tsallis Entropy of Convex Combinations of Density Operators Advances in Mathematical Physics |
| title | Preservers for the Tsallis Entropy of Convex Combinations of Density Operators |
| title_full | Preservers for the Tsallis Entropy of Convex Combinations of Density Operators |
| title_fullStr | Preservers for the Tsallis Entropy of Convex Combinations of Density Operators |
| title_full_unstemmed | Preservers for the Tsallis Entropy of Convex Combinations of Density Operators |
| title_short | Preservers for the Tsallis Entropy of Convex Combinations of Density Operators |
| title_sort | preservers for the tsallis entropy of convex combinations of density operators |
| url | http://dx.doi.org/10.1155/2018/5296085 |
| work_keys_str_mv | AT xiaochunfang preserversforthetsallisentropyofconvexcombinationsofdensityoperators AT yihuilao preserversforthetsallisentropyofconvexcombinationsofdensityoperators |