On the Reconstruction of Diagonal Elements of Density Matrix of Quantum Optical States by on/off Detectors
Tóm tắt
We discuss a scheme for reconstructing experimentally the diagonal elements of a density matrix representing quantum optical state. Applications to PDC heralded photons, multi-thermal and attenuated coherent states are illustrated and discussed in more detail.
Tài liệu tham khảo
D. Bouwmeester et al., The Physics of Quantum Information, Springer, New York, 2000.
M. Genovese, Physics Reports 413/6, 319 (2005).
L. Mandel and E. Wolf, Optical Coherence and Quantum Optics, Cambridge Univ. Press, Cambridge 1995; W. Vogel et al., Quantum Optics An Introduction, Wiley-vch, Berlin, 2001; W. P. Schleich, Quantum Optics in Phase Space, Wiley-vch, Berlin, 2001; J. Perina et al., Quantum Optics and Fundamental Physics, Kluwer, Dordrecht, 1994; U. Leonhardt, Measuring the Quantum State of Light, Cambridge Univ. Press, Cambridge, 1997.
G. Zambra, M. Bondani, A. S. Spinelli, A. Andreoni, Rev. Sci. Instrum. 75, 2762 (2004).
E. Hergert, Single Photon Detector Workshop, Gaithersburg, NIST, 2003.
J. Kim, S. Takeuchi, Y. Yamamoto, and H. H. Hogue, Appl. Phys. Lett. 74, 902 (1999); A. Peacock, P. Verhoeve, N. Rando, A. van Dordrecht, B. G. Taylor, C. Erd, M. A. C. Perryman, R. Venn, J. Hewlett, D. J. Goldie, J. Lumley, and M. Wallis, Nature 381, 135 (1996).
G. Di Giuseppe, A. V. Sergienko, B. E. A. Saleh, and M. C. Teich, in: Quantum Information and Computation, E. Donkor, A. R. Pirich, and H. E. Brandt, eds., Proceedings of the SPIE 5105, 39 (2003).
M. Munroe, D. Boggavarapu, M. E. Anderson, and M. G. Raymer, Phys. Rev. A 52, R924 (1995); Y. Zhang, K. Kasai, and M. Watanabe, Opt. Lett. 27, 1244 (2002).
M. Raymer, M. Beck, in: Quantum states estimation, M. G. A. Paris and J. Řeháček, eds., Lect. Not. Phys. 649, Springer, Berlin-Heidelberg, 2004.
F. Zappa, A. L. Lacaita, S. D. Cova, and P. Lovati, Opt. Eng. 35, 938 (1996); D. Achilles, C. Silberhorn, C. Śliwa, K. Banaszek, and I. A. Walmsley, Opt. Lett. 28, 2387 (2003).
D. Mogilevtsev, Opt. Comm. 156, 307 (1998); Acta Phys. Slov. 49, 743 (1999).
A. R. Rossi, S. Olivares, and M. G. A. Paris, Phys. Rev. A 70, 055801 (2004).
A. R. Rossi and M. G. A. Paris, Andrea R. Rossi and Matteo G. A. Paris, Eur. Phys. Jour. D 32, 223 (2005).
J. Řeháček, Z. Hradil, O. Haderka, J. Peřina Jr., and M. Hamar, Phys. Rev. A 67, 061801 (R.) (2003); O. Haderka, M. Hamar, J. Peřina, Eur. Phys. Jour. D 28, xxx (2004).
K. Banaszek, I. A. Walmsley, Opt. Lett. 28, 52 (2003).
A. P. Dempster, N. M. Laird, D. B. Rubin, J. R. Statist. Soc. B 39, 1 (1977); Y. Vardi and D. Lee, J. R. Statist. Soc. B 55, 569 (1993); R. A. Boyles, J. R. Statist. Soc. B 45, 47 (1983).
G. Zambra et al., Phys. Rev. Lett. 95, 063602 (2005); G. Brida et al., Laser Physics 16, 385 (2006).
G. Brida, M. Genovese, and C. Novero, J. Mod. Opt. 47, 2099 (2000); G. Brida, M. Genovese, M. Gramegna, Laser Physics Letters 3, 115 (2006) and Refs. therein.
F. Paleari, A. Andreoni, G. Zambra, M. Bondani, Opt. Expr. 13, 2816 (2004).
G. F. Knoll, Radiation detection and measurement, Second Edition, John Wiley & Sons, New York, 1989.
R. Loudon, The Quantum Theory of Light, Oxford University Press, New York, 2000.
J. Moser, Adv. Math. 16, 160 (1975).
D.N. Klyshko, Phys. Lett. A 213, 7 (1996).
See for example A. E. Kozhekin, K. Molmer, and E. Polzik, Phys. Rev. A 62, 033809 (2000); M. Genovese, Phys. Rev. A 63, 044303 (2001); C. Ottaviani et al., Phys. Rev. Lett. 90, 197902 (2003).