Journal
LETTERS IN MATHEMATICAL PHYSICS
Volume 106, Issue 9, Pages 1217-1234Publisher
SPRINGER
DOI: 10.1007/s11005-016-0868-0
Keywords
density operators; Bregman divergences; Jensen divergences; preserver transformations
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Funding
- Lendulet Program of the Hungarian Academy of Sciences [LP2012-46/2012]
- Hungarian Scientific Research Fund (OTKA) [K104206]
- For the Young Talents of the Nation scholarship program of the Hungarian State [NTP-EFO-P-15-0481]
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We describe the structure of the bijective transformations on the set of density operators which preserve the Bregman f-divergence for an arbitrary differentiable strictly convex function f. Furthermore, we determine the preservers of the Jensen f-divergence in the case when the generating function f belongs to a recently introduced function class called Matrix Entropy Class.
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