Quantum random walk of two photons in separable and entangled states

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 75, Issue 3, 2007, Pages

  Pathak, P K ^a,b   Agarwal, G S ^a  

^a OKLAHOMA STATE UNIVERSITY   (United States)

^b PHYSICAL RESEARCH LABORATORY   (India)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC ANALYSIS; LIGHT POLARIZATION; NUMERICAL METHODS; OPTICAL DEVICES; PHOTONS;

DOWNCONVERTERS; FOCK STATES; QUANTUM RANDOM WALK;

QUANTUM THEORY;

EID: 34047097729     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.75.032351     Document Type: Article

References (33)

1. Y. Aharonov, L. Davidovich, and N. Zagury, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.48.1687 48, 1687 (1993).
2. B. C. Sanders, S. D. Bartlett, B. Tregenna, and P. L. Knight, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.67.042305 67, 042305 (2003);
3. V. Kendon and B. C. Sanders, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.022307 71, 022307 (2005).
4. T. Di, M. Hillery, and M. S. Zubairy, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.70.032304 70, 032304 (2004);
5. M. Hillery, J. Bergou, and E. Feldman, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.68.032314 68, 032314 (2003).
6. B. C. Travaglione and G. J. Milburn, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.65.032310 65, 032310 (2002).
7. C. A. Ryan, M. Laforest, J. C. Boileau, and R. Laflamme, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.72.062317 72, 062317 (2005).
8. P. Ribeiro, P. Milman, and R. Mosseri, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.190503 93, 190503 (2004).
9. J. Kempe, Contemp. Phys. CTPHAF 0010-7514 10.1080/00107151031000110776 44, 307 (2003).
10. B. Do, M. L. Stohler, S. Balasubramanian, D. S. Elliott, C. Eash, E. Fischbach, M. A. Fischbach, A. Mills, and B. Zwickl, J. Opt. Soc. Am. B JOBPDE 0740-3224 10.1364/JOSAB.22.000499 22, 499 (2005).
11. Z. Zhao, J. Du, H. Li, T. Yang, Z.-B. Chen, and J.-W. Pan, e-print quant-ph/0212149.
12. H. Jeong, M. Paternostro, and M. S. Kim, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.69.012310 69, 012310 (2004).
13. P. L. Knight, E. Roldan, and J. E. Sipe, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.68.020301 68, 020301 (R) (2003);
14. P. L. Knight, E. Roldan, and J. E. Sipe, Opt. Commun. OPCOB8 0030-4018 10.1016/j.optcom.2003.09.024 227, 147 (2003).
15. I. Carneiro, M. Loo, X. Xu, M. Girerd, V. Kendon, and P. L. Knight, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/7/1/156 7, 156 (2005).
16. D. Bouwmeester, I. Marzoli, G. P. Karman, W. Schleich, and J. P. Woerdman, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.61.013410 61, 013410 (2000).
17. G. S. Agarwal and P. K. Pathak, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.72.033815 72, 033815 (2005).
18. S. E. Venegas-Andraca, J. L. Ball, K. Burnett, and S. Bose, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/7/1/221 7, 221 (2005).
19. Y. Omar, N. Paunkovic, L. Sheridan, and S. Bose, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.74.042304 74, 042304 (2006).
20. W. Dür, R. Raussendorf, V. M. Kendon, and H. -J. Briegel, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.66.052319 66, 052319 (2002);
21. K. Eckert, J. Mompart, G. Birkl, and M. Lewenstein, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.72.012327 72, 012327 (2005).
22. C. K. Hong, Z. Y. Ou, and L. Mandel, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.59.2044 59, 2044 (1987);
23. Z. Y. Ou and L. Mandel, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.61.50 61, 50 (1988);
24. R. Ghosh and L. Mandel, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.59.1903 59, 1903 (1987).
25. P. G. Kwiat, K. Mattle, H. Weinfurter, A. Zeilinger, A. V. Sergienko, and Y. Shih, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.75.4337 75, 4337 (1995).
26. A. Nayak and A. Vishwanath, e-print quant-ph/0010117.
27. T. A. Brun, H. A. Carteret, and A. Ambainis, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.67.052317 67, 052317 (2003);
28. T. A. Brun, H. A. Carteret, and A. Ambainis, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.130602 91, 130602 (2003).
29. J. L. O'Brien, G. J. Pryde, A. G. White, T. C. Ralph, and D. Branning, Nature (London) NATUAS 0028-0836 10.1038/nature02054 426, 264 (2003).
30. J. T. Barreiro, N. K. Langford, N. A. Peters, and P. G. Kwiat, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.260501 95, 260501 (2005);
31. F. A. Bovino, G. Castagnoli, A. Ekert, P. Horodecki, C. M. Alves, and A. V. Sergienko, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.240407 95, 240407 (2005).
32. R. J. Glauber, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.131.2766 131, 2766 (1963).
33. L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge University Press, Cambridge, 1995), p. 128.