Quantum tomography via the MaxEnt principle

Journal of Modern Optics

Volumn 47-14, Issue 15, 2000, Pages 2823-2839

  Bužek, Vladimír ^a,b   Drobný, Gabriel ^a  

^a INSTITUTE OF PHYSICS   (Slovakia)

^b MASARYK UNIVERSITY   (Czech Republic)

Author keywords

[No Author keywords available]

Indexed keywords

ENTROPY; MATHEMATICAL TRANSFORMATIONS; MAXIMUM PRINCIPLE; OPTICAL TRANSFER FUNCTION; PATTERN MATCHING; QUANTUM THEORY; TOMOGRAPHY;

MAXIMUM ENTROPY PRINCIPLE; PATTERN FUNCTIONS; QUANTUM STATES OF LIGHT; QUANTUM TOMOGRAPHY; RADON TRANSFORMATION;

QUANTUM OPTICS;

EID: 0034694487     PISSN: 09500340     EISSN: 13623044     Source Type: Journal    
DOI: 10.1080/09500340008232199     Document Type: Article

References (30)

1. Ballentine, L. E., 1990. Quantum Mechanics, Englewood Cliffs, NJ:Prentice Hall.
2. Band, W., and Park, J. L., 1979. Am. J. Phys., 47:47 1970, Found. Phys., 1, 133; 1971, Found. Phys., 1, 339; Park, J. L., and Band, W., Found. Phys., 1, 211 (1971).
3. Newton, R. G., and Young, B. L., 1968. Ann. Phys. (New York), 49:393
4. Jaynes, E. T., 1957. Phys. Rev., 108:108 1957., 108, 620; 1963, Am. J. Phys., 31, 66.
5. Fick, E., and Sauermann, G., 1990. The Quantum Statistics of Dynamic Processes, Berlin:Springer Verlag.
6. Kapur, J. N., and Kesavan, H. K., 1992. Entropic Optimization Principles with Applications, New York:Academic Press.
7. Katz, A., 1967. Principles of Statistical Mechanics, San Francisco:W. H. Freeman and Company. Hobson, A., 1971, Concepts in Statistical Mechanics (New York:Gordon Breach Science Publishers).
8. Wigner, E. P., 1932. Phys. Rev., 40:40 see also Hillery, M., O'Connell, R. F., Scully, M. O., and Wigner, E. P., 1984, Phys. Rep., 106, 121.
9. Bužek, V., Vidiella-Barranco, A., and Knight, P. L., 1992. Phys. Rev. A, 45:45 Bužek, V., and Knight, P. L., 1995, Progress in Optics, Vol. 34, edited by E. Wolf (Amsterdam:North Holland), p. 1.
10. Ekert, A. K., and Knight, P. L., 1991. Phys. Rev. A, 43:43
11. Vogel, K., and Risken, H., 1989. Phys. Rev. A, 40:40 see also Bertrand, J., and Bertrand, P., 1987, Found. Phys., 17, 397; Freyberger, M., Vogel, K., and Schleich, W. P., 1993, Phys. Lett. A, 176, 41; Agarwal, G. S., and Chaturvedi, S., 1994, Phys. Rev. A, 49, R665; Vogel, W., and Welsch, D.-G., 1995, Acta Phys. Slov., 45, 313; Leonhardt, U., and Paul, H., 1994, Phys. Lett. A, 193, 117; Leonhardt, U., and Paul, H., 1994, J. mod. Optics, 41, 1427; Leonhardt, U., 1993, Phys. Rev. A, 48, 3265; Leonhardt, U., and Paul, H., 1993, Phys. Rev. A, 48, 4598; Paul, H., Leonhardt, U., and D'Ariano, G. M., Acta Phys. Slov., 45, 261 (1995).
12. Leonhardt, U., 1997. Measuring the Quantum State of Light, Cambridge:Cambridge University Press.
13. Welsch, D.-G., Vogel, W., and Opatrny, T., 1999. Progress in Optics XXXIX, Edited by:Wolf, E., 63Amsterdam:North Holland.
14. D'Ariano, G. M., Machiavelo, C., and Paris, M. G. A., 1994. Phys. Rev. A, 50:50
15. Kühn, H., Welsch, D.-G., and Vogel, W., 1994. J. mod. Optics, 41:1607
16. Smithey, D. T., Beck, M., Raymer, M. G., and Faridani, A., 1993. Phys. Rev. Lett., 70:70 Smithey, D. T., Beck, M., Cooper, J., and Raymer, M. G., 1993, Phys. scripta T, 48, 35; Beck, M., Raymer, M. G., Walmsley, I. A., and Wong, V., 1993, Optics Lett., 18, 2041; Beck, M., Smithey, D. T., and Raymer, M. G., 1993, Phys. Rev. A, 48, R890; Raymer, M. G., Beck, M., and McAluster, D. F., 1994, Phys. Rev. Lett., 72, 1137; Raymer, M. G., Smithey, D. T., Beck, M., and Cooper, J., Acta Phys. Pol., 86, 71 (1994).
17. Munroe, M., Boggavarapu, D., Anderson, M. E., and Raymer, M. G., 1995. Phys. Rev. A, 52:R924
18. Janicke, U., and Wilkens, M., 1995. J. mod. Optics, 42:2183
19. Schiller, S., Breitenbach, G., Pereira, S. F., Muller, T., and Mlynek, J., 1996. Phys. Rev. Lett., 77:77 Kurtsiefer, Ch., Pfau, T., and Mlynek, J., Nature, 386, 150 (1997).
20. Wallentowitz, S., and Vogel, W., 1995. Phys. Rev. Lett., 75:75 Poyatos, J. F., Walser, R., Cirac, J. I., Zoller, P., and Blatt, R., 1996, Phys. Rev. A, 53, R1966; D'Helon, C., and Milburn, G. J., 1996, Phys. Rev. A, 53, R25.
21. Leibfried, D., Meekhof, D. M., King, B. E., Monroe, C., Itano, W. M., and Wineland, D. J., 1996. Phys. Rev. Lett., 77:77 Leibfried, D., Meekhof, D. M., Monroe, C., King, B. E., Itano, W. M., and Wineland, D. J., 1997, J. mod. Optics, 44, 2485; Wineland, D., Monroe, C., Meekhof, D. M., King, B. E., Liebfried, D. Itano, W. M., Bergquist, J. C., Berkeland, D., Bollinger, J. J., and Miller, J., 1998, Proc. Roy. Soc., A, 454, 411.
22. Dunn, T. J., Walmsley, I. A., and Mukamel, S., 1995. Phys. Rev. Lett., 74:884
23. Leonhardt, U., Paul, H., and D'Ariano, G. M., 1995. Phys. Rev. A, 52:52
24. Richter, Th., 1996. Phys. Lett. A, 211:211 Richter, Th., 1996, Phys. Rev. A, 53, 1197.
25. Leonhardt, U., Munroe, M., Kiss, T., Richter, Th., and Raymer, M. G., 1996. Optics Commun., 127:144
26. D'Ariano, G. M., Leonhardt, U., and Paul, H., 1995. Phys. Rev. A, 52:R1801
27. Bužek, V., Adam, G., and Drobny, G., 1996. Ann. Phys. (New York), 245:37 Bužek, V., Adam, G., and Drobny, G., 1996, Phys. Rev. A, 54, 801; Buzyek, V., Drobny, G., Derka, R., Adam, G., and Wiedeman, H., Chaos, Solitons Fractals, 10, 981 (1999).
28. Hradil, Z., Summhammer, J., and Ranch, H., 2000. Phys. Lett. A, 261:20
29. Leonhardt, U., and Munroe, M., 1996. Phys. Rev. A, 54:54
30. Morinaga, M., Bouchoule, I., Karam, J.-C., and Salomon, C., 1999. Phys. Rev. Lett., 83:4037