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Optical Fresnel transformation and quantum tomography |
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| Authors: | Hong-Yi Fan Li-yun Hu |
| Institution: | a Department of Physics, Shanghai Jiao Tong University, Shanghai 200030, China b College of Physics and Communication Electronics, Jiangxi Normal University, Nanchang 330022, China c Department of Material Science and Engineering, University of Science and Technology of China, Hefei, Anhui 230026, China |
| Abstract: | Corresponding to optical Fresnel transformation characteristic of a ray transfer matrix (A,B,C,D),AD-BC=1, there exists Fresnel operator F(A,B,C,D) in quantum optics, we show that under the Fresnel transformation the pure-state position density ∣x〉〈x∣ becomes density operator ∣x〉s,rs,r〈x∣, which is just the Radon transform of the Wigner operator, i.e., |
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