On the geometry of mixed states and the Fisher information tensor

@article{Contreras2014OnTG,
  title={On the geometry of mixed states and the Fisher information tensor},
  author={Iv{\'a}n A. Contreras and Elisa Ercolessi and Michele Schiavina},
  journal={arXiv: Mathematical Physics},
  year={2014}
}
In this paper, we will review the co-adjoint orbit formulation of finite dimensional quantum mechanics, and in this framework, we will interpret the notion of quantum Fisher information index (and metric). Following previous work of part of the authors, who introduced the definition of Fisher information tensor, we will show how its antisymmetric part is the pullback of the natural Kostant-Kirillov-Souriau symplectic form along some natural diffeomorphism. In order to do this, we will need to… Expand
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