The Fourier slice transformation of the Wigner operator and the quantum tomogram of the density operator |
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| Authors: | Wang Tong-Tong a and Fan Hong-Yi |
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| Institution: | Wang Tong-Tong a) and Fan Hong-Yi b) 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 |
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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. |
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| Keywords: | quantum tomography Fourier slice transformation density operator |
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