English

On Uhlmann's proof of the Monotonicity of the Relative Entropy

Mathematical Physics 2024-01-04 v1 math.MP Operator Algebras

Abstract

This article presents in a self-contained way A. Uhlmann's celebrated Theorem of monotonicity of the relative entropy under completely positive and trace preserving maps. The Theorem is presented in its more general form and meaningful examples are given.

Keywords

Cite

@article{arxiv.2210.13093,
  title  = {On Uhlmann's proof of the Monotonicity of the Relative Entropy},
  author = {Juan Manuel Pérez-Pardo},
  journal= {arXiv preprint arXiv:2210.13093},
  year   = {2024}
}

Comments

To be published in Particles, Fields and Topology: Celebrating A.P. Balachandran, a Festschrift volume for A.P. Balachandran