Entangled Husimi Distribution and Complex Wavelet Transformation |
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| Authors: | Li-Yun Hu and Hong-Yi Fan |
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| Institution: | 1.College of Physics and Communication Electronics,Jiangxi Normal University,Nanchang,China;2.Department of Material Science and Engineering,University of Science and Technology of China,Hefei,China |
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| Abstract: | Similar in spirit to the preceding work (Int. J. Theor. Phys. 48:1539, 2009) where the relationship between wavelet transformation and Husimi distribution function is revealed, we study this kind of
relationship to the entangled case. We find that the optical complex wavelet transformation can be used to study the entangled
Husimi distribution function in phase space theory of quantum optics. We prove that, up to a Gaussian function, the entangled
Husimi distribution function of a two-mode quantum state |ψ〉 is just the modulus square of the complex wavelet transform of e-|h|2/2e^{-\vert \eta \vert ^{2}/2} with ψ(η) being the mother wavelet. |
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