Chin. Phys. Lett.  2009, Vol. 26 Issue (11): 110302    DOI: 10.1088/0256-307X/26/11/110302
GENERAL |
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
Cite this article:   
FAN Hong-Yi, JIANG Nian-Quan 2009 Chin. Phys. Lett. 26 110302
Download: PDF(293KB)  
Export: BibTeX | EndNote | Reference Manager | ProCite | RefWorks
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.
Keywords: 03.65.Ca      42.50.Dv      03.65.Ud     
Received: 16 July 2009      Published: 30 October 2009
PACS:  03.65.Ca (Formalism)  
  42.50.Dv (Quantum state engineering and measurements)  
  03.65.Ud (Entanglement and quantum nonlocality)  
TRENDMD:   
URL:  
https://cpl.iphy.ac.cn/10.1088/0256-307X/26/11/110302       OR      https://cpl.iphy.ac.cn/Y2009/V26/I11/110302
Service
E-mail this article
E-mail Alert
RSS
Articles by authors
FAN Hong-Yi
JIANG Nian-Quan
[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
Related articles from Frontiers Journals
[1] GUO Yu, LUO Xiao-Bing. Quantum Teleportation between Two Distant Bose–Einstein Condensates[J]. Chin. Phys. Lett., 2012, 29(6): 110302
[2] REN Jie, WU Yin-Zhong, ZHU Shi-Qun. Quantum Discord and Entanglement in Heisenberg XXZ Spin Chain after Quenches[J]. Chin. Phys. Lett., 2012, 29(6): 110302
[3] Akpan N. Ikot. Solutions to the Klein–Gordon Equation with Equal Scalar and Vector Modified Hylleraas Plus Exponential Rosen Morse Potentials[J]. Chin. Phys. Lett., 2012, 29(6): 110302
[4] SHAN Chuan-Jia,**,CAO Shuai,XUE Zheng-Yuan,ZHU Shi-Liang. Anomalous Temperature Effects of the Entanglement of Two Coupled Qubits in Independent Environments[J]. Chin. Phys. Lett., 2012, 29(4): 110302
[5] CHEN Peng,QIAN Jun,CHEN Dong-Yuan,HU Zheng-Feng**,WANG Yu-Zhu**. Interference of a Narrowband Biphoton with Double Electromagnetically Induced Transparency in an N-Type System[J]. Chin. Phys. Lett., 2012, 29(4): 110302
[6] GAO Gui-Long,SONG Fu-Quan,HUANG Shou-Sheng,WANG Yan-Wei,FAN Zhi-Qiang,YUAN Xian-Zhang,JIANG Nian-Quan**. Producing and Distinguishing χ-Type Four-Qubit States in Flux Qubits[J]. Chin. Phys. Lett., 2012, 29(4): 110302
[7] LI Hong-Rong**,ZHANG Pei,GAO Hong,BI Wen-Ting,ALAMRI M. D.,LI Fu-Li. Non-Equilibrium Quantum Entanglement in Biological Systems[J]. Chin. Phys. Lett., 2012, 29(4): 110302
[8] GE Rong-Chun, LI Chuan-Feng, GUO Guang-Can. Spin Dynamics in the XY Model[J]. Chin. Phys. Lett., 2012, 29(3): 110302
[9] CAO Ming-Tao, HAN Liang, QI Yue-Rong, ZHANG Shou-Gang, GAO Hong, LI Fu-Li. Calculation of the Spin-Dependent Optical Lattice in Rubidium Bose–Einstein Condensation[J]. Chin. Phys. Lett., 2012, 29(3): 110302
[10] M. Ramzan. Decoherence and Multipartite Entanglement of Non-Inertial Observers[J]. Chin. Phys. Lett., 2012, 29(2): 110302
[11] Piotr Zawadzki**. New View of Ping-Pong Protocol Security[J]. Chin. Phys. Lett., 2012, 29(1): 110302
[12] LI Jun-Gang, **, ZOU Jian, **, XU Bao-Ming, SHAO Bin, . Quantum Correlation Generation in a Damped Cavity[J]. Chin. Phys. Lett., 2011, 28(9): 110302
[13] ZHANG Ai-Ping**, QIANG Wen-Chao, LING Ya-Wen, XIN Hong, YANG Yong-Ming . Geometric Phase for a Qutrit-Qubit Mixed-Spin System[J]. Chin. Phys. Lett., 2011, 28(8): 110302
[14] ZHENG An-Shou, **, LIU Ji-Bing, CHEN Hong-Yun . N−Qubit W State of Spatially Separated Atoms via Fractional Adiabatic Passage[J]. Chin. Phys. Lett., 2011, 28(8): 110302
[15] FANG Bin, LIU Bi-Heng, HUANG Yun-Feng**, SHI Bao-Sen, GUO Guang-Can . Spectrum Analysis of a Pulsed Photon Source Generated from Periodically Poled Lithium Niobate[J]. Chin. Phys. Lett., 2011, 28(7): 110302
Viewed
Full text


Abstract