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Article

A New Quantum f-Divergence for Trace Class Operators in Hilbert Spaces

1
Mathematics, School of Engineering & Science, Victoria University, PO Box 14428, Melbourne City, MC 8001, Australia
2
School of Computational & Applied Mathematics, University of the Witwatersrand, Private Bag 3, Johannesburg 2050, South Africa 
Entropy 2014, 16(11), 5853-5875; https://doi.org/10.3390/e16115853
Received: 13 October 2014 / Revised: 30 October 2014 / Accepted: 3 November 2014 / Published: 6 November 2014
(This article belongs to the Section Information Theory, Probability and Statistics)
A new quantum f-divergence for trace class operators in Hilbert Spaces is introduced. It is shown that for normalised convex functions it is nonnegative. Some upper bounds are provided. Applications for some classes of convex functions of interest are also given. View Full-Text
Keywords: self-adjoint bounded linear operators; functions of operators; trace of operators; quantum divergence self-adjoint bounded linear operators; functions of operators; trace of operators; quantum divergence
MDPI and ACS Style

Dragomir, S.S. A New Quantum f-Divergence for Trace Class Operators in Hilbert Spaces. Entropy 2014, 16, 5853-5875. https://doi.org/10.3390/e16115853

AMA Style

Dragomir SS. A New Quantum f-Divergence for Trace Class Operators in Hilbert Spaces. Entropy. 2014; 16(11):5853-5875. https://doi.org/10.3390/e16115853

Chicago/Turabian Style

Dragomir, Silvestru S. 2014. "A New Quantum f-Divergence for Trace Class Operators in Hilbert Spaces" Entropy 16, no. 11: 5853-5875. https://doi.org/10.3390/e16115853

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