It is well known that quantum mechanics admits a geometric formulation on the complex projective space as a Kähler manifold. In this paper, we consider the notion of mutual information among continuous random variables in relation to the geometric description of a composite quantum system introducing a new measure of total correlations that can be computed in terms of Gaussian integrals.

Pastorello D. (2019). A geometrization of quantum mutual information. INTERNATIONAL JOURNAL OF QUANTUM INFORMATION, 17(2), 1950011-1-1950011-11 [10.1142/S0219749919500114].

A geometrization of quantum mutual information

Pastorello D.
2019

Abstract

It is well known that quantum mechanics admits a geometric formulation on the complex projective space as a Kähler manifold. In this paper, we consider the notion of mutual information among continuous random variables in relation to the geometric description of a composite quantum system introducing a new measure of total correlations that can be computed in terms of Gaussian integrals.
2019
Pastorello D. (2019). A geometrization of quantum mutual information. INTERNATIONAL JOURNAL OF QUANTUM INFORMATION, 17(2), 1950011-1-1950011-11 [10.1142/S0219749919500114].
Pastorello D.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/926058
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