arXiv:1509.01049 · Journal of Mathematical Physics

The volume of Gaussian states by information geometry

Domenico Felice, Hà Quang Minh, Stefano Mancini

Published Jan 1, 2017• 17 citations

Abstract

We formulate the problem of determining the volume of the set of Gaussian physical states in the framework of information geometry. This is done by considering phase space probability distributions parametrized by their covariances and endowing the resulting statistical manifold with the Fisher-Rao metric. We then evaluate the volume of classical, quantum, and quantum entangled states for two-mode systems, showing chains of strict inclusions.

DOI: 10.1063/1.4973507

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