Transformations on density operators and on positive definite operators preserving the quantum Rényi divergence
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DOI: 10.1007/s10998-016-0174-8
Abstract: In a certain sense we generalize the recently introduced and extensively studied notion called quantum Rényi divergence (also called ”sandwiched Rényi relative entropy”) and describe the structures of corresponding symmetries. More precisely, we characterize all… read more here.
Keywords: positive definite; definite operators; nyi divergence; density operators ... See more keywords
Maps on positive definite operators preserving the quantum $$\chi _\alpha ^2$$χα2-divergence
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DOI: 10.1007/s11005-017-0989-0
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 $$\chi _\alpha ^2$$χα2-divergence for some… read more here.
Keywords: positive definite; definite operators; quantum chi; chi alpha ... See more keywords
On a Class of Positive Definite Operators and Their Application in Fractional Calculus
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DOI: 10.3390/axioms11060272
Abstract: This paper is devoted to the spectral analysis of one class of integral operators, associated with the boundary value problems for differential equations of fractional order. Approximation matrices are also investigated. In particular, the positive… read more here.
Keywords: class positive; class; application fractional; positive definite ... See more keywords