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 twomode systems, showing chains of strict inclusions.

The volume of Gaussian states by information geometry

MANCINI, Stefano
2017-01-01

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 twomode systems, showing chains of strict inclusions.
2017
262
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11581/395833
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