Connections and metrics respecting purification of quantum states
From MaRDI portal
Publication:4270342
DOI10.1063/1.532884zbMath0958.82003arXivquant-ph/9806028OpenAlexW1523521194MaRDI QIDQ4270342
No author found.
Publication date: 21 November 1999
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/quant-ph/9806028
General and philosophical questions in quantum theory (81P05) Quantum equilibrium statistical mechanics (general) (82B10) Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70)
Related Items
Duality versus dual flatness in quantum information geometry, Geodesic distances on density matrices, Geometry of quantum phase transitions, Metric on the space of quantum states from relative entropy. Tomographic reconstruction, Haldane model at finite temperature, Geometric quantum mechanics, Purification of Lindblad dynamics, geometry of mixed states and geometric phases, On the curvature of monotone metrics and a conjecture concerning the Kubo-Mori metric, The scalar curvature of the Bures metric on the space of density matrices
Cites Work
- A gauge field governing parallel transport along mixed states
- On quantum holonomy for mixed states
- Parallel transport and ``quantum holonomy along density operators
- Means of positive linear operators
- Yang-Mills equation and Bures metric
- \(\alpha\)-divergence of the non-commutative information geometry
- A certain class of Einstein-Yang-Mills systems
- On a connection governing parallel transport along \(2 \times{}2\) density matrices
- Monotone metrics on matrix spaces
- On the Riemannian metric of \(\alpha\)-entropies of density matrices
- On equivalence of infinite product measures
- Quantal phase factors accompanying adiabatic changes
- Mathematical techniques for quantum communication theory
- How and Why to Solve the Operator Equation AX −XB = Y
- Statistical distance and the geometry of quantum states
- A class of connections governing parallel transport along density matrices
- Geometries of quantum states
