A study on the geometry of pairs of positive linear forms, algebraic transition probability and geometrical phase over non-commutative operator algebras. II

DOI10.4171/ZAA/590zbMath0792.46038MaRDI QIDQ686814

Peter M. Alberti

Publication date: 13 October 1993

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

zbMATH Keywords

Bures distancegeometrical phasealgebraic transition probabilitygeometry of pairs of positive linear forms on unital \(C^*\)-algebrasglobal phaseholonomy group of a normal statephase groupvector representatives

Mathematics Subject Classification ID

Free probability and free operator algebras (46L54) General theory of von Neumann algebras (46L10) General theory of (C^*)-algebras (46L05) Noncommutative probability and statistics (46L53) Noncommutative measure and integration (46L51)

Related Items

Density operators as an arena for differential geometry, On the decomposition of unitary operators into a product of finitely many positive operators, A remark on the holonomy group of a normal state over a hyperfinite von Neumann algebra, Geometric phases and related structures, Spheres and hemispheres as quantum state spaces