TL;DR
This paper provides two geometric proofs of Wigner's theorem, which states that symmetries in quantum systems are represented by unitary or antiunitary operators, using the Fubini-Study metric.
Contribution
It introduces two novel geometric proofs of Wigner's theorem based on the Fubini-Study metric geometry.
Findings
Two geometric proofs of Wigner's theorem presented
Symmetries in quantum systems are unitary or antiunitary
Proofs leverage the geometry of the Fubini-Study metric
Abstract
Wigner's theorem asserts that any symmetry of a quantum system is unitary or antiunitary. In this short note we give two proofs based on the geometry of the Fubini-Study metric.
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