Wigner symmetries and Gleason's theorem

Abstract

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

References in corpus (5)

• An elementary proof for the non-bijective version of Wigner's theorem
• Transformations on the set of all n-dimensional subspaces of a Hilbert space preserving principal angles
• Generalization of Wigner's unitary-antiunitary theorem for indefinite inner product spaces
• Symmetries of projective spaces and spheres
• The structure of maps on the space of all quantum pure states that preserve a fixed quantum angle

Cited by in corpus (3)

• Jordan embeddings and linear rank preservers of structural matrix algebras
• Nonexpansive and noncontractive mappings on the set of quantum pure states
• Revisiting Born's rule through Uhlhorn's and Gleason's theorems