Comparison of Uhlmann's transition probability with the one induced by the natural positive cone of von Neumann algebras in standard form

DOI10.1007/BF00403277zbMath0516.46049MaRDI QIDQ1052603

Guido A. Raggio

Publication date: 1982

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

density operatorsnormal statesgeneralized transition probabilityBures distance-functionvon Neumann algebras in standard form

Mathematics Subject Classification ID

General and philosophical questions in quantum theory (81P05) Applications of selfadjoint operator algebras to physics (46L60) States of selfadjoint operator algebras (46L30) Miscellaneous applications of functional analysis (46N99)

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Cites Work

• A remark on transition probability
• An inequality for Hilbert-Schmidt norm
• The transition probability in the state space of a \(^*\)-algebra