中国物理B ›› 2012, Vol. 21 ›› Issue (3): 34203-034203.doi: 10.1088/1674-1056/21/3/034203

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王彤彤1,范洪义2   

  • 收稿日期:2011-07-27 修回日期:2011-08-31 出版日期:2012-02-15 发布日期:2012-02-15
  • 通讯作者: 范洪义,wtt918@mail.ustc.edu.cn E-mail:wtt918@mail.ustc.edu.cn

The Fourier slice transformation of the Wigner operator and the quantum tomogram of the density operator

Wang Tong-Tong(王彤彤)a) and Fan Hong-Yi(范洪义)b)†   

  1. a. School of Mathematics and Physics, Huangshi Institute of Technology, Huangshi 435003, China;
    b. Department of Material Science and Engineering, University of Science and Technology of China, Hefei 230026, China
  • Received:2011-07-27 Revised:2011-08-31 Online:2012-02-15 Published:2012-02-15
  • Contact: Fan Hong-Yi,wtt918@mail.ustc.edu.cn E-mail:wtt918@mail.ustc.edu.cn
  • Supported by:
    Project supported by the Natural Science Foundation of Huangshi Institute of Technology, China (Grant No. 10yjz03R) and the National Natural Science Foundation of China (Grant No. 10874174).

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Abstract: Using the Weyl quantization scheme and based on the Fourier slice transformation (FST) of the Wigner operator, we construct a new expansion formula of the density operator ρ, with the expansion coefficient being the FST of ρ's classical Weyl correspondence, and the latter the Fourier transformation of ρ's quantum tomogram. The coordinate-momentum intermediate representation is used as the Radon transformation of the Wigner operator.

Key words: quantum tomography, Fourier slice transformation, density operator

中图分类号:  (Quantum optics)

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