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Explicit pure-state density operator structure for quantum tomography

J. Math. Phys. 50, 102108 (2009); doi:10.1063/1.3250164

Published 29 October 2009

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Hong-yi Fan1,2 and Cui-hong Lv1
1Department of Materials Science and Engineering, University of Science and Technology of China, Hefei, Anhui 230026, China
2Department of Physics, Shanghai Jiao Tong University, Shanghai 200030, China

The formulation of region operators named by D. Ellinas and A. J. Bracken [Phys. Rev. A 78, 052106 (2008)], which appears as the phase-space integration corresponding to the straight line over the Wigner operator, is manifestly improved and generalized. By virtue of the technique of integration within ordered (both normally ordered and Weyl ordered) product of operators, we show that the integration involved in the generalized region operator can be directly carried through to completion that leads to the explicit pure-state density operator |u>lambda,taulambda,tau<u|, where |u>lambda,tau makes up the coordinate-momentum intermediate representation. This directly results in that the tomogram of a quantum state |psi> is just proportional to |lambda,tau<u|psi>|2, where lambda,tau<u|psi> is the wave function of |psi> in the coordinate-momentum intermediate representation. ©2009 American Institute of Physics
History: Received 19 June 2009; accepted 3 September 2009; published 29 October 2009
Permalink: http://link.aip.org/link/?JMAPAQ/50/102108/1
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KEYWORDS and PACS

Keywords
PACS
  • 03.65.Wj
    State reconstruction, quantum tomography
  • 03.65.Fd
    Algebraic methods in quantum mechanics
  • 03.65.Db
    Functional analytical methods in quantum mechanics
  • 02.10.Ud
    Linear algebra
  • YEAR: 2009

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PUBLICATION DATA

ISSN:
0022-2488 (print)   1089-7658 (online)
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REFERENCES (21)

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  1. H. Weyl, Z. Phys. 46, 1 (1927).
  2. E. P. Wigner, Phys. Rev. 40, 749 (1932).
  3. D. Ellinas and A. J. Bracken, Phys. Rev. A 78, 052106 (2008).
  4. K. Vogel and H. Risken, Phys. Rev. A 40, 2847 (1989).
  5. U. Leonhardt, Measuring the Quantum State of Light (Cambridge University Press, Cambridge, 1997).
  6. W. P. Schleich, Quantum Optics in Phase Space (Wiley-VCH, New York, 2001).
  7. H. -Y. Fan, J. Math. Phys. 30, 1273 (1989).
  8. H. -Y. Fan and H. -G. Weng, J. Math. Phys. 31, 257 (1990).
  9. H. -Y. Fan and H. R. Zaidi, Phys. Lett. A 124, 303 (1987).
  10. H. -Y. Fan, J. Opt. B: Quantum Semiclassical Opt. 5, R147 (2003).
  11. H. -Y. Fan, H. -L. Lu, and Y. Fan, Ann. Phys. 321, 480 (2006).
  12. H. -Y. Fan, H. R. Zaidi, and J. R. Klauder, Phys. Rev. D 35, 1831 (1987).
  13. H. -Y. Fan, J. Phys. A 25, 3443 (1992).
  14. H. -Y. Fan, Ann. Phys. 323, 50 (2008).
  15. S. R. Deans, The Radon Transform and Some of Its Applications (Wiley, New York, 1983).
  16. S. Helgason, The Radon Transform (Birkhaüser, Boston, 1980).
  17. R. J. Glauber, Phys. Rev. 131, 2766 (1963).
  18. J. R. Klauder and B. S. Skargerstam, Coherent States (World Scientific, Singapore, 1985).
  19. D. Ellinas and I. Tsohantjis, Rep. Math. Phys. 57, 69 (2006).
  20. H. -Y. Fan, Mod. Phys. Lett. A 12, 2325 (1997).
  21. H. -Y. Fan and Y. Fan, Int. J. Mod. Phys. A 17, 701 (2002).

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