Wigner symmetries and Gleason's theorem

TL;DR

This paper presents an improved version of Wigner's theorem on symmetries in quantum mechanics, utilizing Gleason's theorem as a key tool to establish the result.

Contribution

It provides an optimal formulation of Wigner's theorem by leveraging Gleason's theorem, enhancing the understanding of quantum symmetries.

Findings

Established an optimal version of Wigner's theorem

Utilized Gleason's theorem as a central proof tool

Enhanced the mathematical understanding of quantum symmetries

Abstract

We prove an optimal version of Wigner's unitary-antiunitary theorem. The main tool in our proof is Gleason's theorem.