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New theorem relating two-mode entangled tomography to two-mode Fresnel operator |
| Xie Chuan-Mei(谢传梅)a)b)† and Fan Hong-Yi(范洪义)b) |
| a College of Physics & Material Science, Anhui University, Hefei 230039, China; b 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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Received: 20 July 2011
Revised: 26 August 2011
Accepted manuscript online:
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PACS:
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03.65.-w
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(Quantum mechanics)
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73.63.Kv
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(Quantum dots)
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| Fund: Project supported by the Doctoral Scientific Research Startup Fund of Anhui University, China (Grant No. 33190059), the National Natural Science Foundation of China (Grant No. 10874174), and the President Foundation of Chinese Academy of Sciences. |
Cite this article:
Xie Chuan-Mei(谢传梅) and Fan Hong-Yi(范洪义) New theorem relating two-mode entangled tomography to two-mode Fresnel operator 2012 Chin. Phys. B 21 010302
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