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Monotone metric tensors in Quantum Information Geometry

Quantum Physics 2023-09-13 v2 Mathematical Physics math.MP

Abstract

We review some geometrical aspects pertaining to the world of monotone quantum metrics in finite dimensions. Particular emphasis is given to an unfolded perspective for quantum states that is built out of the spectral theorem and is naturally suited to investigate the comparison with the classical case of probability distributions.

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Cite

@article{arxiv.2203.10857,
  title  = {Monotone metric tensors in Quantum Information Geometry},
  author = {Florio M. Ciaglia and Fabio Di Cosmo and Fabio Di Nocera and Patrizia Vitale},
  journal= {arXiv preprint arXiv:2203.10857},
  year   = {2023}
}

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45 pages