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Classical and Quantum Fisher Information in the Geometrical Formulation of Quantum Mechanics

Authors :
Facchi, Paolo
Kulkarni, Ravi
Man'ko, V. I.
Marmo, Giuseppe
Sudarshan, E. C. G.
Ventriglia, Franco
Source :
Physics Letters A 374 (2010) 4801
Publication Year :
2010

Abstract

The tomographic picture of quantum mechanics has brought the description of quantum states closer to that of classical probability and statistics. On the other hand, the geometrical formulation of quantum mechanics introduces a metric tensor and a symplectic tensor (Hermitian tensor) on the space of pure states. By putting these two aspects together, we show that the Fisher information metric, both classical and quantum, can be described by means of the Hermitian tensor on the manifold of pure states.<br />Comment: 8 pages

Subjects

Subjects :
Quantum Physics

Details

Database :
arXiv
Journal :
Physics Letters A 374 (2010) 4801
Publication Type :
Report
Accession number :
edsarx.1009.5219
Document Type :
Working Paper
Full Text :
https://doi.org/10.1016/j.physleta.2010.10.005