Monotone metric tensors in quantum information geometry

Author:

Ciaglia F. M.1ORCID,Di Cosmo F.12ORCID,Di Nocera F.3ORCID,Vitale P.45ORCID

Affiliation:

1. Departamento de Matemáticas, Universidad Carlos III, de Madrid, Leganés, Madrid, Spain

2. ICMAT, Instituto de Ciencias Matemáticas, (CSIC-UAM-UC3M-UCM), Madrid, Spain

3. Max Planck Institute for Mathematics in the Sciences, Leipzig, Germany

4. Dipartimento di Fisica “E. Pancini”, Università di Napoli, Federico II, Naples, Italy

5. Istituto Nazionale di Fisica Nucleare, Sezione di Napoli, Naples, Italy

Abstract

In this paper, 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.

Funder

European Union Next generation EU

Research Funds for Beatriz Galindo Fellowships

Marie Sklodowska-Curie COFUND Action

Fundacion Banco Santander

Compagnia di San Paolo

Publisher

World Scientific Pub Co Pte Ltd

Subject

Physics and Astronomy (miscellaneous)

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