Realistic pattern functions for optical homodyne tomography and determination of specific expectation values

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 61, Issue 6, 2000, Pages 063819-063811

  Richter, Th ^a  

^a HUMBOLDT UNIVERSITY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; LEAST SQUARES APPROXIMATIONS; POLYNOMIALS; PROBABILITY DISTRIBUTIONS; QUANTUM OPTICS; TOMOGRAPHY;

FOURIER TRANSFORMED PATTERN FUNCTIONS; OPTICAL HOMODYNE TOMOGRAPHY; WIGNER FUNCTION;

FOURIER TRANSFORMS;

EID: 0033704023     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (53)

1. G. M. D 'Ariano, in Quantum Optics and Spectroscopy of Solids, edited by T. Hakioglu and A. S. Shumovsky (Kluwer, Amsterdam, 1997).
2. U. Leonhardt, Measuring the Quantum State of Light (Cambridge University Press, Cambridge, 1997).
3. J. Mod. Opt. 44, 2021 (1997), special issue on quantum state preparation and measurement, edited by W. P. Schleich and M. G. Raymer.
4. D.-G. Welsch, W. Vogel, and T. D. Opatrny, in Progress in Optics, edited by E. Wolf (North-Holland, Amsterdam, 1999), Vol. XXXIX, p. 63.
5. K. Vogel and H. Risken, Phys. Rev. A 40, 2847 (1989).
6. D.T. Smithey, M. Beck, M.G. Raymer, and A. Faridani, Phys. Rev. Lett. 70, 1244 (1993); D.T. Smithey, M. Beck, J. Cooper, and M.G. Raymer, Phys. Rev. A 48, 3159 (1993); D.T. Smithey, M. Beck, J. Cooper, M.G. Raymer, and A. Faridani, Phys. Scr. T48, 35 (1993).
7. D.T. Smithey, M. Beck, M.G. Raymer, and A. Faridani, Phys. Rev. Lett. 70, 1244 (1993); D.T. Smithey, M. Beck, J. Cooper, and M.G. Raymer, Phys. Rev. A 48, 3159 (1993); D.T. Smithey, M. Beck, J. Cooper, M.G. Raymer, and A. Faridani, Phys. Scr. T48, 35 (1993).
8. D.T. Smithey, M. Beck, M.G. Raymer, and A. Faridani, Phys. Rev. Lett. 70, 1244 (1993); D.T. Smithey, M. Beck, J. Cooper, and M.G. Raymer, Phys. Rev. A 48, 3159 (1993); D.T. Smithey, M. Beck, J. Cooper, M.G. Raymer, and A. Faridani, Phys. Scr. T48, 35 (1993).
9. G.M. D'Ariano, C. Macchiavello, and M.G.A. Paris, Phys. Rev. A 50, 4298 (1994).
10. H. Kühn, D.-G. Welsch, and W. Vogel, J. Mod. Opt. 41, 1607 (1994).
11. G.M. D'Ariano, U. Leonhardt, and H. Paul, Phys. Rev. A 52, R1801 (1995).
12. U. Leonhardt, H. Paul, and G.M. D'Ariano, Phys. Rev. A 52, 4899 (1995).
13. Th. Richter, Phys. Lett. A 211, 31 (1996).
14. U. Leonhardt, M. Munroe, T. Kiss, Th. Richter, and M.G. Raymer, Opt. Commun. 127, 144 (1995).
15. Th. Richter, Phys. Rev. A 53, 1197 (1996).
16. A. Wünsche, J. Mod. Opt. 44, 2293 (1997).
17. M. Beck, D.T. Smithey, J. Cooper, and M.G. Raymer, Opt. Lett. 18, 1259 (1993).
18. M. Munroe, D. Boggavarapu, M.E. Anderson, and M.G. Raymer, Phys. Rev. A 52, R924 (1996).
19. S. Schiller, G. Breitenbach, S.F. Pereira, T. Müller, and J. Mlynek, Phys. Rev. Lett. 77, 2933 (1996).
20. G. Breitenbach, S. Schiller, and J. Mlynek, Nature (London) 387, 471 (1997).
21. J. Mlynek, G. Breitenbach, and S. Schiller, Phys. Scr. T76, 98 (1998).
22. T. Kiss, U. Herzog, and U. Leonhardt, Phys. Rev. A 52, 2433 (1995).
23. U. Herzog, Phys. Rev. A 53, 1245 (1996).
24. T. Opatrny, D.G. Welsch, and V. Buzek, Phys. Rev. A 53, 3822 (1996).
25. S.M. Tan, J. Mod. Opt. 44, 2233 (1997).
26. V. Buzek, G. Adam, and G. Drobny, Phys. Rev. A 54, 804 (1996).
27. K. Banaszek, Phys. Rev. A 57, 5013 (1998).
28. Z. Hradil, Phys. Rev. A 55, R1561 (1997); Z. Hradil and R. Myska, Acta Phys. Slov. 48, 79 (1998).
29. Z. Hradil, Phys. Rev. A 55, R1561 (1997); Z. Hradil and R. Myska, Acta Phys. Slov. 48, 79 (1998).
30. U. Leonhardt and H. Paul, Phys. Rev. Lett. 72, 4086 (1994).
31. S. Mancini, P. Tombesi, and V.I. Manko, Europhys. Lett. 37, 79 (1997).
32. M. Wilkens and P. Meystre, Phys. Rev. A 43, 3832 (1991).
33. S.M. Dutra, P.L. Knight, and H. Moya-Cessa, Phys. Rev. A 48, 3168 (1993); S.M. Dutra and P.L. Knight, ibid. 49, 1506 (1994).
34. S.M. Dutra, P.L. Knight, and H. Moya-Cessa, Phys. Rev. A 48, 3168 (1993); S.M. Dutra and P.L. Knight, ibid. 49, 1506 (1994).
35. M.S. Kim, G. Antesberger, C.T. Bodendorf, and H. Walther, Phys. Rev. A 58, R65 (1998).
36. S. Wallentowitz and W. Vogel, Phys. Rev. A 53, 4528 (1996).
37. H.P. Yuen and V.W.S. Chen, Opt. Lett. 8, 177 (1983).
38. L. Schumaker, Opt. Lett. 9, 189 (1984).
39. W. Vogel and J. Grabow, Phys. Rev. A 47, 4227 (1993).
40. U. Leonhardt and H. Paul, Prog. Quantum Electron. 19, 89 (1995).
41. A. P. Prudnikov, Yu. A. Brychkov, and O. I. Marichev, Integrals and Series (Gordon Breach, New York, 1992), Vol. II.
42. C.T. Lee, Phys. Rev. A 48, 2285 (1993).
43. G.M. D'Ariano, Quantum Semiclassic. Opt. 7, 693 (1995).
44. G.M. D'Ariano, C. Macchiavello, and N. Sterpi, Quantum Semiclassic. Opt. 9, 929 (1997).
45. G.M. D'Ariano and C. Macchiavello, Phys. Rev. A 57, 3131 (1998).
46. T. Kiss, U. Herzog, and U. Leonhardt, Phys. Rev. A 57, 3134 (1998).
47. K.E. Cahill and R.J. Glauber, Phys. Rev. 171, 1882 (1968); A. Wünsche, Quantum Opt. 3, 359 (1991).
48. K.E. Cahill and R.J. Glauber, Phys. Rev. 171, 1882 (1968); A. Wünsche, Quantum Opt. 3, 359 (1991).
49. Z. Kis, T. Kiss, J. Janszky, P. Adam, S. Wallentowitz, and W. Vogel, Phys. Rev. A 59, R39 (1999).
50. Th. Richter, J. Mod. Opt. 46, 1167 (1999).
51. U. Herzog, Phys. Rev. A 53, 2889 (1996).
52. S. Flügge, Rechenmethoden der Quantentheorie (Springer-Verlag, Berlin, 1990).
53. H. Buchholz, Die Konfluente Hypergeometrische Funktion (Springer-Verlag, Berlin, 1953).