Quantum non-Gaussianity of single-mode Schrödinger cat states based on Kurtosis

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Abstract

We evaluate the non-Gaussianity of single-mode Schrödinger cat states based on measure of the kurtosis. It is found that for odd Schrödinger cat state, its kurtosis is always negative, whereas the kurtosis of even Schrödinger cat state may be negative or positive. We then introduce the average kurtosis to measure how far the distribution of Schrödinger cat states is from their corresponding Gaussian ones. Finally, we discuss the relation between the non-Gaussianity and nonclassicality of such states.

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Keywords

Quantum Optics 

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Copyright information

© EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2015

Authors and Affiliations

  1. 1.Department of Physics and Information EngineeringHuaihua UniversityHunanP.R. China

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