preprint · arXiv (Cornell University) · 2005

Geometrical Statistics--Classical and Quantum

Bengtsson, Ingemar

Cited by 0Open access

Abstract

This is a review of the ideas behind the Fisher--Rao metric on classical probability distributions, and how they generalize to metrics on density matrices. As is well known, the unique Fisher--Rao metric then becomes a large family of monotone metrics. Finally I focus on the Bures--Uhlmann metric, and discuss a recent result that connects the geometric operator mean to a geodesic billiard on the set of density matrices.

Cite this paper

APA 7

Bengtsson, I. (2005). Geometrical Statistics--Classical and Quantum. arXiv (Cornell University). https://doi.org/10.48550/arxiv.quant-ph/0509017

MLA 9

Bengtsson, Ingemar. “Geometrical Statistics--Classical and Quantum.” arXiv (Cornell University), 2005, https://doi.org/10.48550/arxiv.quant-ph/0509017.

Chicago

Bengtsson, Ingemar. 2005. “Geometrical Statistics--Classical and Quantum.” arXiv (Cornell University). https://doi.org/10.48550/arxiv.quant-ph/0509017.

Harvard

Bengtsson, I. (2005) ‘Geometrical Statistics--Classical and Quantum’, arXiv (Cornell University). Available at: https://doi.org/10.48550/arxiv.quant-ph/0509017.

BibTeX

@misc{bengtsson2005geometrical,
  title = {{Geometrical Statistics--Classical and Quantum}},
  author = {Bengtsson, Ingemar},
  journal = {arXiv (Cornell University)},
  year = {2005},
  doi = {10.48550/arxiv.quant-ph/0509017}
}

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