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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
13/2021

Group actions and Monotone Metric Tensors: The qubit case

Florio Maria Ciaglia and Fabio Di Nocera

Abstract

In recent works, a link between group actions and information metrics on the space of faithful quantum states has been highlighted in particular cases. In this contribution, we give a complete discussion of this instance for the particular case of the qubit.

Received:
May 31, 2021
Published:
May 31, 2021
Keywords:
Quantum Information Geometry, Lie algebra, Monotone metrics

Related publications

inBook
2021 Repository Open Access
Florio M. Ciaglia and Fabio Di Nocera

Group actions and monotone metric tensors : the qubit case

In: Geometric science of information : 5th international conference, GSI 2021, Paris, France, July 21-23, 2021, proceedings / Frank Nielsen... (eds.)
Cham : Springer, 2021. - pp. 145-153
(Lecture notes in computer science ; 12829)