Some properties of the Riemannian Bures metric on mixed states

DOI10.1016/0393-0440(94)90027-2zbMath0791.53020OpenAlexW2089156599WikidataQ115363085 ScholiaQ115363085MaRDI QIDQ1317915

Jochen Dittmann

Publication date: 18 July 1994

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0393-0440(94)90027-2

zbMATH Keywords

density matricesBerry phaselocally symmetric spacemixed states

Mathematics Subject Classification ID

General mathematical topics and methods in quantum theory (81Q99) Local Riemannian geometry (53B20)

Related Items

Metric geometry of infinite-dimensional Lie groups and their homogeneous spaces ⋮ The scalar curvature of the Bures metric on the space of density matrices

Cites Work

• Unnamed Item
• A gauge field governing parallel transport along mixed states
• Parallel transport and ``quantum holonomy along density operators
• On a connection governing parallel transport along \(2 \times{}2\) density matrices
• Bures distance function and a generalization o f Sakai's non-commutative Radon-Nikodym theorem
• Quantal phase factors accompanying adiabatic changes
• An Extension of Kakutani's Theorem on Infinite Product Measures to the Tensor Product of Semifinite w ∗ -Algebras