Group Actions and Monotone Quantum Metric Tensors

Florio Maria Ciaglia and Fabio Di Nocera
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Florio Maria Ciaglia: Departamento de Matemáticas, Universidad Carlos III de Madrid, Avenida de la Universidad 30, 28911 Leganés, Madrid, Spain
Fabio Di Nocera: Max Planck Institut für Mathematik in den Naturwissenschaften, Inselstraße 22, 04103 Leipzig, Germany

Mathematics, 2022, vol. 10, issue 15, 1-20

Abstract: The interplay between actions of Lie groups and monotone quantum metric tensors on the space of faithful quantum states of a finite-level system observed in recent works is here further developed.

Keywords: monotone quantum metric tensors; information geometry; quantum information theory (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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