Von Neumann Entropy by Logarithmic Method

Mathematics-Physics

Authors

DOI:

https://doi.org/10.14331/ijfps.2019.330132

Keywords:

Entropy, Von Neumann entropy, linearity

Abstract

The Von Neumann entropy plays a central role in the quantum information theory and is a concave function and following the property . In this paper, we introduce a new proof for the linearity of Von Neumann entropy in the rate without using the above inequality. Here the Von Neumann entropy is concave; that is, given weights   and density matrices . Roughly speaking, we will show that in the rate case, the Von Neumann entropy is linear without using Fannes inequality.

https://orcid.org/0000-0003-4308-1632

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Author Biography

Bijan Nikouravan, Department of Physics, Islamic Azad University (IAU),Varamin-Pishva Branch, Iran

Dr. Bijan Nikouravan

References

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von NEUMANN, J., & BEYER, R. T. (1955). Mathematische Grundlagen der Quantenmechanik. Mathematical Foundations of Quantum Mechanics... Translated... by Robert T. Beyer: Princeton University Press.

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Published

2019-12-30

Issue

Vol. 9 No. 4 (2019): IJFPS

Section

ORIGINAL ARTICLES

License

Copyright (c) 2019 International Journal of Fundamental Physical Science

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

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