English

Uhlmann's parallelism in quantum estimation theory

Quantum Physics 2007-05-23 v1

Abstract

Two important classes of the quantum statistical model, the locally quasi-classical model and the quasi-classical model, are introduced from the estimation theoretical viewpoint, and they are characterized geometrically by the vanishing conditions of the relative phase factor (RPF), implying the close tie between Uhlmann parallel transport and the quantum estimation theory.

Keywords

Cite

@article{arxiv.quant-ph/9711027,
  title  = {Uhlmann's parallelism in quantum estimation theory},
  author = {Keiji matsumoto},
  journal= {arXiv preprint arXiv:quant-ph/9711027},
  year   = {2007}
}
R2 v1 2026-07-22T20:02:55.960Z