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

被引:7
作者
Xiang, Shao-Hua [1 ]
Song, Ke-Hui [1 ]
机构
[1] Huaihua Univ, Dept Phys & Informat Engn, Huaihua 418008, Hunan, Peoples R China
基金
中国国家自然科学基金;
关键词
ODD COHERENT STATES; NON-CLASSICALITY; DECOHERENCE; DISTANCE; OPTICS; EVEN;
D O I
10.1140/epjd/e2015-60480-1
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
We evaluate the non-Gaussianity of single-mode Schrodinger cat states based on measure of the kurtosis. It is found that for odd Schrodinger cat state, its kurtosis is always negative, whereas the kurtosis of even Schrodinger cat state may be negative or positive. We then introduce the average kurtosis to measure how far the distribution of Schrodinger cat states is from their corresponding Gaussian ones. Finally, we discuss the relation between the non-Gaussianity and nonclassicality of such states.
引用
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页数:9
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  • [1] Computable measure of nonclassicality for light -: art. no. 173602
    Asbóth, JK
    Calsamiglia, J
    Ritsch, H
    [J]. PHYSICAL REVIEW LETTERS, 2005, 94 (17)
  • [2] Observing the progressive decoherence of the ''meter'' in a quantum measurement
    Brune, M
    Hagley, E
    Dreyer, J
    Maitre, X
    Maali, A
    Wunderlich, C
    Raimond, JM
    Haroche, S
    [J]. PHYSICAL REVIEW LETTERS, 1996, 77 (24) : 4887 - 4890
  • [3] High-order contrasts for independent component analysis
    Cardoso, JF
    [J]. NEURAL COMPUTATION, 1999, 11 (01) : 157 - 192
  • [4] Non-Gaussian cloning of quantum coherent states is optimal -: art. no. 070501
    Cerf, NJ
    Krüger, O
    Navez, P
    Werner, RF
    Wolf, MM
    [J]. PHYSICAL REVIEW LETTERS, 2005, 95 (07)
  • [5] On the meaning and use of kurtosis
    DeCarlo, LT
    [J]. PSYCHOLOGICAL METHODS, 1997, 2 (03) : 292 - 307
  • [6] Continuous-variable quantum teleportation with non-Gaussian resources
    Dell'Anno, F.
    De Siena, S.
    Albano, L.
    Illuminati, F.
    [J]. PHYSICAL REVIEW A, 2007, 76 (02):
  • [7] Realistic continuous-variable quantum teleportation with non-Gaussian resources
    Dell'Anno, F.
    De Siena, S.
    Illuminati, F.
    [J]. PHYSICAL REVIEW A, 2010, 81 (01):
  • [8] Teleportation of squeezing: Optimization using non-Gaussian resources
    Dell'Anno, Fabio
    De Siena, Silvio
    Adesso, Gerardo
    Illuminati, Fabrizio
    [J]. PHYSICAL REVIEW A, 2010, 82 (06):
  • [9] Hilbert-Schmidt distance and non-classicality of states in quantum optics
    Dodonov, VV
    Man'ko, OV
    Man'ko, VI
    Wünsche, A
    [J]. JOURNAL OF MODERN OPTICS, 2000, 47 (04) : 633 - 654
  • [10] Efficient Quantification of Non-Gaussian Spin Distributions
    Dubost, B.
    Koschorreck, M.
    Napolitano, M.
    Behbood, N.
    Sewell, R. J.
    Mitchell, M. W.
    [J]. PHYSICAL REVIEW LETTERS, 2012, 108 (18)