Shu-guang Liu, Hong-yi Fan, “Convolution theorem for the three-dimensional entangled fractional Fourier transformation deduced from the tripartite entangled state representation”, TMF, 2009, Volume 161, Number 3,Pages <nobr>459

This article is cited in 4 papers

Convolution theorem for the three-dimensional entangled fractional Fourier transformation deduced from the tripartite entangled state representation

Shu-guang Liu^a, Hong-yi Fan^b

^a Department of Applied Mathematics and Physics, Anhui University of Technology and Science, Wuhu, Anhui, China
^b Department of Material Science and Engineering, University of Science and Technology of China, Hefei, Anhui, China

Abstract: 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.

Received: 07.11.2008
Revised: 14.02.2009

DOI: 10.4213/tmf6452