Group actions and Monotone Quantum Metric Tensors

Abstract

The interplay between actions of Lie groups and monotone quantum metric tensors on the space of faithful quantum states of a finite-level system observed recently in DOI: 10.1140/epjp/s13360-020-00537-y and DOI: 10.1007/978-3-030-80209-7_17 is here further developed.

References in corpus (8)

• Geometry of quantum systems: density states and entanglement
• From the Jordan product to Riemannian geometries on classical and quantum states
• Differential geometric aspects of parametric estimation theory for states on finite-dimensional C*-algebras
• Quantum States, Groups and Monotone Metric Tensors
• On the pseudo-manifold of quantum states
• Parameter-free description of the manifold of non-degenerate density matrices
• Exponential arcs in the manifold of vector states on a sigma-finite von Neumann algebra
• Group actions and monotone metric tensors: The qubit case

Cited by in corpus (2)

• On the categorical foundations of quantum information theory: Categories and the Cramer-Rao inequality
• G-dual teleparallel connections in Information Geometry