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Linear and Multilinear Algebra Volume 60, 2012 - Issue 1
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Original Articles

Isometries and relative entropy preserving maps on density operators

Lajos Molnár Institute of Mathematics, University of Debrecen, H-4010 Debrecen, P.O. Box 12, HungaryCorrespondence[email protected]
&
Gergő Nagy Institute of Mathematics, University of Debrecen, H-4010 Debrecen, P.O. Box 12, Hungary
Pages 93-108 | Received 29 Jan 2011, Accepted 06 Mar 2011, Published online: 25 Aug 2011

Citations (14)

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María Cueto-Avellaneda & Antonio M. Peralta. (2020) The Mazur–Ulam property for commutative von Neumann algebras. Linear and Multilinear Algebra 68:2, pages 337-362.
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Articles from other publishers (13)

Longfa Sun & Yinghua Sun. (2024) On Extension of Norm-Additive Maps Between the Positive Unit Spheres of $$\ell _q(\ell _p)$$. Results in Mathematics 79:3.
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Longfa Sun, Yipeng Zhang, Yinghua Sun & Duanxu Dai. (2024) On extension of isometries between the positive unit spheres of $$c_0(\Gamma )$$. Indian Journal of Pure and Applied Mathematics.
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田 李. (2022) Maps Preserving Bregman f-Divergence on the Set of Positive Definite Trace Operators of Infinite Dimensional Systems. Advances in Applied Mathematics 11:03, pages 996-1002.
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Chi-Wai Leung, Chi-Keung Ng & Ngai-Ching Wong. (2021) On a variant of Tingley's problem for some function spaces. Journal of Mathematical Analysis and Applications 496:1, pages 124800.
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MARCELL GAÁL & GERGŐ NAGY. (2018) TRANSFORMATIONS ON DENSITY OPERATORS PRESERVING GENERALISED ENTROPY OF A CONVEX COMBINATION. Bulletin of the Australian Mathematical Society 98:1, pages 102-108.
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Xiaochun Fang & Yihui Lao. (2018) Preservers for the Tsallis Entropy of Convex Combinations of Density Operators. Advances in Mathematical Physics 2018, pages 1-10.
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Antonio M. Peralta. (2018) A survey on Tingley’s problem for operator algebras. Acta Scientiarum Mathematicarum 84:1-2, pages 81-123.
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Hong-Yi Chen, György Pál Gehér, Chih-Neng Liu, Lajos Molnár, Dániel Virosztek & Ngai-Ching Wong. (2017) Maps on positive definite operators preserving the quantum $$\chi _\alpha ^2$$ χ α 2 -divergence. Letters in Mathematical Physics 107:12, pages 2267-2290.
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Lajos Molnár. (2017) On the Surjectivity of Generalized Isometries on the Positive Definite Cone of Matrices. Mediterranean Journal of Mathematics 14:4.
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Marcell Gaál & Lajos Molnár. (2016) Transformations on density operators and on positive definite operators preserving the quantum Rényi divergence. Periodica Mathematica Hungarica 74:1, pages 88-107.
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Dániel Virosztek. (2016) Quantum f-divergence preserving maps on positive semidefinite operators acting on finite dimensional Hilbert spaces. Linear Algebra and its Applications 501, pages 242-253.
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György Pál Gehér. (2016) Is it possible to determine a point lying in a simplex if we know the distances from the vertices?. Journal of Mathematical Analysis and Applications 439:2, pages 651-663.
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Gergő Nagy. (2014) Preservers for the -Norm of Linear Combinations of Positive Operators . Abstract and Applied Analysis 2014, pages 1-9.
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