A new theorem relating quantum tomogram to the Fresnel operator |
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Authors: | Xie Chuan-Mei and Fan Hong-Yi |
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Institution: | College of Physics & Material Science, Anhui University, Hefei 230039, China; Department of Material Science and Engineering, University of Science and Technology of China, Hefei 230026, China |
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Abstract: | According to Fan-Hu's formalism (Fan Hong-Yi and Hu Li-Yun 2009 Opt. Commun. bf282 3734) that the tomogram of quantum states can be considered as the module-square of the state wave function in the intermediate coordinate-momentum representation which is just the eigenvector of the Fresnel quadrature phase, we derive a new theorem for calculating quantum tomogram of density operator, i.e., the tomogram of a density operator ρ is equal to the marginal integration of the classical Weyl correspondence function of F+ρF, where F is the Fresnel operator. Applications of this theorem to evaluating the tomogram of optical chaotic field and squeezed chaotic optical field are presented. |
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Keywords: | quantum tomogram Fresnel operator Weyl correspondence |
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