Group actions and Monotone Metric Tensors: The qubit case

Florio Maria Ciaglia and Fabio Di Nocera

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Submission date: 31. May. 2021
Pages: 10
Bibtex
Keywords and phrases: Quantum Information Geometry, Lie algebra, Monotone metrics
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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.