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Your search keyword '"Molnár, Lajos"' showing total 7 results
Start Over Author "Molnár, Lajos" Journal letters in mathematical physics
7 results on '"Molnár, Lajos"'

6. Maps on positive definite operators preserving the quantum $$\chi _\alpha ^2$$ -divergence.

Author

Chen, Hong-Yi, Gehér, György, Liu, Chih-Neng, Molnár, Lajos, Virosztek, Dániel, and Wong, Ngai-Ching

Subjects
QUANTUM theory, LATTICE theory, OPERATOR theory, DIVERGENCE theorem, MATHEMATICAL transformations, HILBERT space
Abstract

We describe the structure of all bijective maps on the cone of positive definite operators acting on a finite and at least two-dimensional complex Hilbert space which preserve the quantum $$\chi _\alpha ^2$$ -divergence for some $$\alpha \in [0,1]$$ . We prove that any such transformation is necessarily implemented by either a unitary or an antiunitary operator. Similar results concerning maps on the cone of positive semidefinite operators as well as on the set of all density operators are also derived. [ABSTRACT FROM AUTHOR]

Published
2017
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