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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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Authors and Affiliations

  1. Department of Physics and Information Engineering, Huaihua University, Huaihua, Hunan, 418008, P.R. China

    Shao-Hua Xiang & Ke-Hui Song

Authors
  1. Shao-Hua Xiang
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  2. Ke-Hui Song
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Correspondence to Shao-Hua Xiang.

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Xiang, SH., Song, KH. Quantum non-Gaussianity of single-mode Schrödinger cat states based on Kurtosis. Eur. Phys. J. D 69, 260 (2015). https://doi.org/10.1140/epjd/e2015-60480-1

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  • DOI: https://doi.org/10.1140/epjd/e2015-60480-1

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