Differential geometry of density states

Abstract

We consider a geometrization, i.e., we identify geometrical structures, for the space of density states of a quantum system. We also provide few comments on a possible application of this geometrization for composite systems.

21 pages, to appear in Rep. Math. Phys

References in corpus (5)

• Geometric Quantum Mechanics
• The nonlinear superposition principle and the Wei-Norman method
• Poisson structures on double Lie groups
• Generalized Reduction Procedure: Symplectic and Poisson Formalism
• Geometry of mixed states and degeneracy structure of geometric phases for multi-level quantum systems. A unitary group approach

Cited by in corpus (14)

• Classical and Quantum Fisher Information in the Geometrical Formulation of Quantum Mechanics
• Geometry of quantum systems: density states and entanglement
• Geometrization of Quantum Mechanics
• Geometrical Description of Quantum Mechanics - Transformations and Dynamics
• Basics of Quantum Mechanics, Geometrization and some Applications to Quantum Information
• Topological order, mixed states and open systems
• Aspects of geodesical motion with Fisher-Rao metric: classical and quantum
• Tomography on f-oscillators
• Generalised Potential Functions in Differential Geometry and Information Geometry
• Entanglement frustration in multimode Gaussian states
• Differential Geometry of Bipartite Quantum States
• The geometry of the quantum Zeno effect
• Characterizing the Depolarizing Quantum Channel in Terms of Riemannian Geometry
• Probability Representation of Quantum Mechanics: Comments and Bibliography