New theorem relating two-mode entangled tomography to two-mode Fresnel operator |
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| Authors: | Xie Chuan-Mei and Fan Hong-Yi |
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| Affiliation: | 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: | Based on the Fan-Hu's formalism, i.e., the tomogram of two-mode quantum states can be considered as the module square of the states' wave function in the intermediate representation, which is just the eigenvector of the Fresnel quadrature phase, we derive a new theorem for calculating the quantum tomogram of two-mode density operators, i.e., the tomogram of a two-mode density operator is equal to the marginal integration of the classical Weyl correspondence function of F2+ρF2, where F2 is the two-mode Fresnel operator. An application of the theorem in evaluating the tomogram of an optical chaotic field is also presented. |
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| Keywords: | two-mode quantum tomogram two-mode Fresnel operator Weyl correspondence |
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