Monotone metric tensors in quantum information geometry Articles uri icon

publication date

  • November 2023

issue

  • 10

volume

  • 21

International Standard Serial Number (ISSN)

  • 0219-8878

Electronic International Standard Serial Number (EISSN)

  • 1793-6977

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.

subjects

  • Mathematics

keywords

  • quantum information geometry; monotone metric tensors; bure-helstrom metric tensor; wigner-yanase metric tensor; bogoliubov-kubo-mori metric tensor; geometry of quantum states