Nonexpansive and noncontractive mappings on the set of quantum pure states

Wigner's theorem characterizes isometries of the set of all rank one projections on a Hilbert space. In metric geometry, nonexpansive maps and noncontractive maps are well-studied generalizations of isometries. We show that under certain conditions Wigner symmetries can be characterized as none...

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Veröffentlicht in:Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2024-01, p.1-19
Hauptverfasser: Mori, Michiya, Šemrl, Peter
Format: Artikel
Sprache:eng
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