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Open AccessFeature PaperArticle

The Volume of Two-Qubit States by Information Geometry

1
School of Advanced Studies, University of Camerino, 62032 Camerino, Italy
2
Max Planck Institute for Mathematics in the Sciences, Inselstrasse 22-04103 Leipzig, Germany
3
School of Science and Technology, University of Camerino, 62032 Camerino, Italy
4
INFN-Sezione di Perugia, I-06123 Perugia, Italy
*
Author to whom correspondence should be addressed.
Entropy 2018, 20(2), 146; https://doi.org/10.3390/e20020146
Received: 22 December 2017 / Revised: 20 February 2018 / Accepted: 22 February 2018 / Published: 24 February 2018
(This article belongs to the Special Issue New Trends in Statistical Physics of Complex Systems)
Using the information geometry approach, we determine the volume of the set of two-qubit states with maximally disordered subsystems. Particular attention is devoted to the behavior of the volume of sub-manifolds of separable and entangled states with fixed purity. We show that the usage of the classical Fisher metric on phase space probability representation of quantum states gives the same qualitative results with respect to different versions of the quantum Fisher metric. View Full-Text
Keywords: information theory; Riemannian geometry; entanglement characterization information theory; Riemannian geometry; entanglement characterization
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Rexiti, M.; Felice, D.; Mancini, S. The Volume of Two-Qubit States by Information Geometry. Entropy 2018, 20, 146.

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