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Relation between Characteristic Function of Density Operator and Tomogram |
FAN Hong-Yi1, JIANG Nian-Quan2 |
1Department of Physics, Shanghai Jiao Tong University, Shanghai 2000302College of Physics and Electric Information, Wenzhou University, Wenzhou 325035 |
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Cite this article: |
FAN Hong-Yi, JIANG Nian-Quan 2009 Chin. Phys. Lett. 26 110302 |
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Abstract In terms of the intermediate coordinate-momentum representation (Chin.Phys.Lett. 18(2001)850) and using the technique of integration within an ordered product of operators, we put the tomography theory into operator version. We reveal the new relation between the tomogram and the characteristic function of the density operator. The new expansion of the density operator in terms of the intermediate coordinate-momentum representation is also obtained.
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Keywords:
03.65.Ca
42.50.Dv
03.65.Ud
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Received: 16 July 2009
Published: 30 October 2009
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PACS: |
03.65.Ca
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(Formalism)
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42.50.Dv
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(Quantum state engineering and measurements)
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03.65.Ud
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(Entanglement and quantum nonlocality)
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[1] Vogel K and Risken H 1989 Phys. Rev. A 40 2847 [2] Wigner E 1932 Phys. Rev. 40 749 [3] Smithey D T,\ Beck M, Raymer M\ G and Faridani A 1993 Phys. Rev. Lett. 70 1244 [4] Fan H Y and Cheng H L 2001 Chin. Phys. Lett. 18 850 [5] Dirac P A M 1958 The Principle of Quantum Mechanics(Oxford) [6] Weyl H 1927 Z. Phys. 46 1 [7] Fan H Y, Zaidi H R and Klauder J R 1987 Phys. Rev. D 35 1831 Fan H Y and Klauder J R 1994 Phys. Rev. A 49 704 [8] W\"{unsche A 1999 J. Opt. B: Quantum Semiclass.Opt. 1 R11 [9] Fan H Y and Zaidi H R 1987 Phys. Lett. A 124303 [10] Radon J and Leipzig B V S A W 1917 Math. Phys. 69 S.262 [11] Walls D F and Milburn G J 1994 Quantum Optics(Berlin: Springer) [12] Fan H Y 1992 J. Phys. A 25 3343 [13] Fan H Y and Fan Y 1997 Mod. Phys. Lett. A 122325 Fan H Y and Yu G C 2000 Mod. Phys. Lett. A 15499 Fan H Y 2000 Mod. Phys. Lett. A 15 2297 [14] Fan H Y 2008 Ann. Phys. 323 500 [15] Ma J, Xie C Q, Liu M, Chen B. Q and Ye T C 2009 Chin. Phys. Lett. 26 090702 [16] Hu L Y and Fan H Y 2009 Chin. Phys. Lett. 26060307 [17] Fan H Y and Hu L Y 2008 Chin. Phys. Lett. 25513 [18] Fan H Y, Wang T T and Hu L Y 2008 Chin. Phys. Lett. 25 3539 |
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Abstract
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