The Fourier slice transformation of the Wigner operator and the quantum tomogram of the density operator |
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| Authors: | Wang Tong-Tong and Fan Hong-Yi |
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| Institution: | School of Mathematics and Physics, Huangshi Institute of Technology, Huangshi 435003, China;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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