Preservers for the Tsallis Entropy of Convex Combinations of Density Operators

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.

Bibliographic Details
Main Authors: Xiaochun Fang, Yihui Lao
Format: Article
Language:English
Published: Hindawi Limited 2018-01-01
Series:Advances in Mathematical Physics
Online Access:http://dx.doi.org/10.1155/2018/5296085
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spelling doaj-588d27555e0947149e1a90efb9c581992021-07-02T09:50:36ZengHindawi LimitedAdvances 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
collection DOAJ
language English
format Article
sources DOAJ
author Xiaochun Fang
Yihui Lao
spellingShingle Xiaochun Fang
Yihui Lao
Preservers for the Tsallis Entropy of Convex Combinations of Density Operators
Advances in Mathematical Physics
author_facet Xiaochun Fang
Yihui Lao
author_sort Xiaochun Fang
title 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_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_sort preservers for the tsallis entropy of convex combinations of density operators
publisher Hindawi Limited
series Advances in Mathematical Physics
issn 1687-9120
1687-9139
publishDate 2018-01-01
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.
url http://dx.doi.org/10.1155/2018/5296085
work_keys_str_mv AT xiaochunfang preserversforthetsallisentropyofconvexcombinationsofdensityoperators
AT yihuilao preserversforthetsallisentropyofconvexcombinationsofdensityoperators
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