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Quantum Simulation
Entanglement Theory Quantum Correlations
Relative entropy is an exact measure of non-Gaussianity
arXiv
Authors: Paulina Marian, Tudor A. Marian
Year
2013
Paper ID
33231
Status
Preprint
Abstract Read
~2 min
Abstract Words
78
Citations
N/A
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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- 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...
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