Next Article in Journal
J.J. Thomson and Duhem’s Lagrangian Approaches to Thermodynamics
Previous Article in Journal
New Insights into the Fractional Order Diffusion Equation Using Entropy and Kurtosis
Article Menu

Export Article

Open AccessArticle
Entropy 2014, 16(11), 5853-5875; doi:10.3390/e16115853

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 
Received: 13 October 2014 / Revised: 30 October 2014 / Accepted: 3 November 2014 / Published: 6 November 2014
(This article belongs to the Section Information Theory)
View Full-Text   |   Download PDF [274 KB, uploaded 24 February 2015]

Abstract

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
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

Scifeed alert for new publications

Never miss any articles matching your research from any publisher
  • Get alerts for new papers matching your research
  • Find out the new papers from selected authors
  • Updated daily for 49'000+ journals and 6000+ publishers
  • Define your Scifeed now

SciFeed Share & Cite This Article

MDPI and ACS Style

Dragomir, S.S. A New Quantum f-Divergence for Trace Class Operators in Hilbert Spaces. Entropy 2014, 16, 5853-5875.

Show more citation formats Show less citations formats

Related Articles

Article Metrics

Article Access Statistics

1

Comments

[Return to top]
Entropy EISSN 1099-4300 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top