Bures distance and relative entropy

DOI10.1063/1.524296zbMath0425.60095OpenAlexW2090906984MaRDI QIDQ3860629

J.-P. Marchand, Walter Wyss, Stanley P. Gudder

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1063/1.524296

zbMATH Keywords

relative entropyBures distanceUhlmann transition probability

Mathematics Subject Classification ID

General and philosophical questions in quantum theory (81P05) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Stochastic mechanics (including stochastic electrodynamics) (81P20)

Related Items

On the relative entropy, Metrics on the set of states of a \(W^ *\)-algebra, Geometric phases and related structures, Statistical inference in non-commutative probability, Riemannian structure on manifolds of quantum states, Expectation and transition probability, Statistical inference in quantum mechanics, Two states, Unnamed Item, On the Bures Distance and the Uhlmann Transition Probability of States on a von Neumann Algebra, Quantum collapse rules from the maximum relative entropy principle

Cites Work

• A generalised entropy function
• The transition probability in the state space of a \(^*\)-algebra
• Conditional expectations on von Neumann algebras: A new approach
• Bures distance function and a generalization o f Sakai's non-commutative Radon-Nikodym theorem
• A Radon-Nikodym theorem in 𝑊*-algebras
• Conditional expectation in an operator algebra. IV. Entropy and information