A remark on transition probability

DOI10.1007/BF00403278zbMath0515.46063MaRDI QIDQ1051867

Guido A. Raggio, Huzihiro Araki

Publication date: 1982

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

zbMATH Keywords

transition probabilitynormal statesprojection valued measuresrepresentative vectors

Mathematics Subject Classification ID

Applications of selfadjoint operator algebras to physics (46L60) States of selfadjoint operator algebras (46L30)

Related Items

Metrics on the set of states of a \(W^ *\)-algebra, Density operators as an arena for differential geometry, Geometric phases and related structures, Geometry of quantum phase transitions, Transition probability (fidelity) and its relatives, Classical entropy of quasi-free states, Transition probability spaces in loop quantum gravity, Spheres and hemispheres as quantum state spaces, Mathematical techniques for quantum communication theory, Geometry of State Spaces, Transition probabilities between quasifree states, On the Bures Distance and the Uhlmann Transition Probability of States on a von Neumann Algebra, On partial fidelities, Generalized transition probability, mobility and symmetries, Comparison of Uhlmann's transition probability with the one induced by the natural positive cone of von Neumann algebras in standard form, A note on the transition probability over \(C^*\)-algebras, Stochastic linear maps and transition probability, Imperfect cloning operations in algebraic quantum theory

Cites Work

• Comparison of Uhlmann's transition probability with the one induced by the natural positive cone of von Neumann algebras in standard form
• The transition probability in the state space of a \(^*\)-algebra
• Bures distance function and a generalization o f Sakai's non-commutative Radon-Nikodym theorem