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

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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 threedimensional entangled fractional Fourier transformation in the context of quantum mechanics.

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Authors and Affiliations

  1. Department of Applied Mathematics and Physics, Anhui University of Technology and Science, Wuhu, Anhui, China

    Shu-guang Liu

  2. Department of Material Science and Engineering, University of Science and Technology of China, Hefei, Anhui, China

    Hong-yi Fan

Authors
  1. Shu-guang Liu
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  2. Hong-yi Fan
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Correspondence to Shu-guang Liu.

Additional information

Prepared from an English manuscript submitted by the authors; for the Russian version, see Teoreticheskaya i Matematicheskaya Fizika, Vol. 161, No. 3, pp. 459–467, December, 2009.

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Liu, Sg., Fan, Hy. Convolution theorem for the three-dimensional entangled fractional Fourier transformation deduced from the tripartite entangled state representation. Theor Math Phys 161, 1714–1722 (2009). https://doi.org/10.1007/s11232-009-0156-6

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  • DOI: https://doi.org/10.1007/s11232-009-0156-6

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