Geodesic
Convolution theorem for the three-dimensional entangled fractional Fourier transformation deduced from the tripartite entangled state representation
Teoretičeskaâ i matematičeskaâ fizika, Tome 161 (2009) no. 3, pp. 459-468 Cet article a éte moissonné depuis la source Math-Net.Ru

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We find that constructing the two mutually-conjugate tripartite entangled state representations naturally leads to the entangled Fourier transformation. We then derive the convolution theorem for the three-dimensional entangled fractional Fourier transformation in the context of quantum mechanics.
Keywords: three-dimensional entangled fractional Fourier transformation, convolution theorem, tripartite entangled state representation. 
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Shu-guang Liu; Hong-yi Fan. Convolution theorem for the three-dimensional entangled fractional Fourier transformation deduced from the tripartite entangled state representation. Teoretičeskaâ i matematičeskaâ fizika, Tome 161 (2009) no. 3, pp. 459-468. http://geodesic.mathdoc.fr/item/TMF_2009_161_3_a10/

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