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.File in questo prodotto:
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