Geometric mean of states and transition amplitudes

DOI10.1007/s11005-008-0238-7zbMath1172.46044arXiv0801.0858OpenAlexW2027821534MaRDI QIDQ1024846

Shigeru Yamagami

Publication date: 17 June 2009

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

Full work available at URL: https://arxiv.org/abs/0801.0858

zbMATH Keywords

transition amplitudetransition probabilityquantum state

Mathematics Subject Classification ID

Applications of selfadjoint operator algebras to physics (46L60) Noncommutative probability and statistics (46L53) Operator algebra methods applied to problems in quantum theory (81R15)

Related Items (3)

GEOMETRY OF COHERENT STATES OF CCR ALGEBRAS ⋮ Kakutani dichotomy on free states ⋮ GEOMETRY OF QUASI-FREE STATES OF CCR ALGEBRAS

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Comparison of Uhlmann's transition probability with the one induced by the natural positive cone of von Neumann algebras in standard form
• Functional calculus for sesquilinear forms and the purification map
• The transition probability in the state space of a \(^*\)-algebra
• Relative entropy and the Wigner-Yanase-Dyson-Lieb concavity in an interpolation theory
• Algebraic aspects in modular theory
• Modular theory for bimodules
• On Bures distance and \(*\)-algebraic transition probability between inner derived positive linear forms over \(W^*\)-algebras
• Some properties of modular conjugation operator of von Neumann algebras and a non-commutative Radon-Nikodym theorem with a chain rule
• On the purification of factor states
• GEOMETRY OF COHERENT STATES OF CCR ALGEBRAS
• The Geometric Mean, Matrices, Metrics, and More

This page was built for publication: Geometric mean of states and transition amplitudes