Von  Neumann Entropy by Logarithmic Method: Mathematics-Physics

Bijan Nikouravan

doi:10.14331/ijfps.2019.330132

Authors

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

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

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