Relative entropy is an exact measure of non-Gaussianity

2013/08/13 by Paulina Marian, Tudor A. Marian · 3 citations
Physics and Astronomy · #quant-ph

paper · pdf · doi:10.1103/physreva.88.012322

published as Physical Review A 88, art. 012322 (2013) · 6 pages, no figures. Comments are welcome

arxiv created 2013/08/13 · arxiv updated 2013/08/14

Abstract

We prove that the closest Gaussian state to an arbitrary N-mode field state through the relative entropy is built with the covariance matrix and the average displacement of the given state. Consequently, the relative entropy of an N-mode state to its associate Gaussian one is an exact distance-type measure of non-Gaussianity. In order to illustrate this finding, we discuss the general properties of the N-mode Fock-diagonal states and evaluate their exact entropic amount of non-Gaussianity.

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