Generating multiphoton Greenberger-Horne-Zeilinger states with weak cross-Kerr nonlinearity

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 75, Issue 5, 2007, Pages

  Jin, Guang Sheng ^a   Lin, Yuan ^a   Wu, Biao ^a  

^a INSTITUTE OF PHYSICS   (China)

Author keywords

[No Author keywords available]

Indexed keywords

CONTROL NONLINEARITIES; MOLECULAR DYNAMICS; MULTIPHOTON PROCESSES; OPTICAL KERR EFFECT; PROBABILITY;

CROSS-KERR NONLINEARITY; GREENBERGER-HORNE-ZEILINGER STATES;

ELECTRON ENERGY LEVELS;

EID: 34247859050     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.75.054302     Document Type: Article

References (65)

1. D. M. Greenberger, M. A. Horne, and A. Zeilinger, in Bell's Theorem, Quantum Theory, and Conceptions of the Universe, edited by, M. Katafos, (Kluwer Academic, Dordrecht, The Netherlands, 1989);
2. D. M. Greenberger, M. A. Horne, A. Shirnony, and A. Zeilinger, Am. J. Phys. AJPIAS 0002-9505 10.1119/1.16243 58, 1131 (1990).
3. N. D. Mermin, Phys. Today PHTOAD 0031-9228 43 (6), 9 (1990).
4. M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, Cambridge, United Kingdom, 2000).
5. See, e.g., J. I. Cirac and P. Zoller, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.50.R2799 50, R2799 (1994);
6. A. Zeilinger, M. A. Horne, H. Weinfurter, and M. Żukowski, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.78.3031 78, 3031 (1997);
7. K. Mølmer and A. Sørensen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.82.1835 82, 1835 (1999);
8. A. M. Dudarev, R. B. Diener, Biao Wu, M. G. Raizen, and Qian Niu, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.010402 91, 010402 (2003);
9. X. B. Zou, K. Pahlke, and W. Mathis, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.68.024302 68, 024302 (2003);
10. Guang-Sheng Jin, Shu-Shen Li, Song-Lin Feng, and Hou-Zhi Zheng, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.69.034302 69, 034302 (2004);
11. Chao Han, Peng Xue, and Guang-Can Guo, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.72.034301 72, 034301 (2005);
12. L. F. Wei, Yu-xi Liu, and Franco Nori, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.246803 96, 246803 (2006).
13. A. Rauschenbeutel, Science SCIEAS 0036-8075 10.1126/science.288.5473.2024 288, 2024 (2000).
14. C. A. Sackett, Nature (London) NATUAS 0028-0836 10.1038/35005011 404, 256 (2000);
15. D. Leibfried, Science SCIEAS 0036-8075 10.1126/science.1097576 304, 1476 (2004);
16. C. F. Roos, Science SCIEAS 0036-8075 10.1126/science.1097522 304, 1478 (2004);
17. D. Leibfried, Nature (London) NATUAS 0028-0836 10.1038/nature04251 438, 639 (2005).
18. For recent reviews about optical QIP, see, e.g., T. C. Ralph, Rep. Prog. Phys. RPPHAG 0034-4885 10.1088/0034-4885/69/4/R01 69, 853 (2006);
19. F DellAnno, S. De Siena, and F. Illuminati, Phys. Rep. PRPLCM 0370-1573 10.1016/j.physrep.2006.01.004 428, 53 (2006);
20. P. Kok, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.79.135 79, 135 (2007);
21. C. R. Myers and R. Laflamme, e-print arXiv:quant-ph/0512104.
22. D. Bouwmeester, J. W. Pan, M. Daniell, H. Weinfurter, and A. Zeilinger, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.82.1345 82, 1345 (1999);
23. Jian-Wei Pan, Nature (London) NATUAS 0028-0836 10.1038/35000514 403, 515 (2000);
24. J. W. Pan, M. Daniell, S. Gasparoni, G. Weihs, and A. Zeilinger, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.86.4435 86, 4435 (2001);
25. Zhi Zhao, Nature (London) NATUAS 0028-0836 10.1038/nature02643 430, 54 (2004).
26. P. Kok and S. L. Braunstein, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.62.064301 62, 064301 (2000).
27. N. Imoto, H. A. Haus, and Y. Yamamoto, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.32.2287 32, 2287 (1985).
28. G. J. Milburn, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.62. 2124 62, 2124 (1989);
29. I. L. Chuang and Y. Yamamoto, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.52.3489 52, 3489 (1995).
30. J. C. Howell and J. A. Yeazell, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.85.198 85, 198 (2000);
31. D. Vitali, M. Fortunato, and P. Tombesi, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.85.445 85, 445 (2000).
32. M. Genovese and C. Novero, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.61.032102 61, 032102 (2000);
33. C. C. Gerry and R. A. Campos, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.64.063814 64, 063814 (2001);
34. M. Paternostro, M. S. Kim, and B. S. Ham, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.67.023811 67, 023811 (2003).
35. R. W. Boyd, J. Mod. Opt. JMOPEW 0950-0340 10.1080/095003499149791 46, 367 (1999).
36. P. Kok, H. Lee, and J. P. Dowling, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.66.063814 66, 063814 (2002).
37. H. Schmidt and A. Imamoǧlu, Opt. Lett. OPLEDP 0146-9592 10.1103/PhysRevLett.64.1107 21, 1936 (1996);
38. M. D. Lukin and A. Imamoǧlu, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.84.1419 84, 1419 (2000);
39. M. D. Lukin and A. Imamoǧlu, Nature (London) NATUAS 0028-0836 10.1038/35095000 413, 273 (2001).
40. W. J. Munro, Kae Nemoto, R. G. Beausoleil, and T. P. Spiller, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.033819 71, 033819 (2005).
41. J. Fiurášek, L. Mišta, Jr., and R. Filip, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.67.022304 67, 022304 (2003);
42. D. Menzies and N. Korolkova, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.74.042315 74, 042315 (2006).
43. S. D. Barrett, P. Kok, K. Nemoto, R. G. Beausoleil, W. J. Munro, and T. P. Spiller, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.060302 71, 060302 (R) (2005);
44. K. Nemoto and W. J. Munro, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.250502 93, 250502 (2004);
45. W. J. Munro, K. Nemoto, T. P. Spiller, S. D. Barrett, P. Kok, and R. G. Beausoleil, J. Opt. B: Quantum Semiclassical Opt. JOBOFD 1464-4266 10.1088/1464-4266/7/7/002 7, S135 (2005);
46. W. J. Munro, K. Nemoto, and T. P. Spiller, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/7/1/137 7, 137 (2005).
47. F. Yamaguchi, K. Nemoto, and W. J. Munro, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.73.060302 73, 060302 (R) (2006).
48. C. C. Gerry and A. Benmoussa, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.73.063817 73, 063817 (2006).
49. D. F. Walls and G. J. Milburn, Quantum Optics (Springer-Verlag, Berlin, 1994);
50. M. O. Scully and M. S. Zubairy, Quantum Optics (Cambridge University Press, Cambridge, United Kingdom, 1997).
51. S. G. R. Louis, K. Nemoto, W. J. Munro, and T. P. Spiller, e-print arXiv: quant-ph/0607060, New J. Phys. (to be published).
52. Jun Qian, Xun-Li Feng, and Shang-Qing Gong, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.72.052308 72, 052308 (2005).
53. R. Ionicioiu, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.75.032339 75, 032339 (2007).
54. H. Jeong, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.73.052320 73, 052320 (2006).
55. J. Lee, M. Paternostro, C. Ogden, Y. W. Cheong, S. Bose, and M. S. Kim, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/8/2/023 8, 23 (2006);
56. T. P. Spiller, K. Nemoto, S. L. Braunstein, W. J. Munro, P. van Loock, and G. J. Milburn, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/8/2/030 8, 30 (2006).
57. T. D. Ladd, P. van Loock, K. Nemoto, W. J. Munro, and Y. Yamamoto, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/8/9/184 8, 184 (2006).
58. M. S. Kim and M. Paternostro, e-print arXiv: quant-ph/0510057.
59. H. Jeong, M. S. Kim, T. C. Ralph, and B. S. Ham, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.70.061801 70, 061801 (R) (2004).
60. A. Ourjoumtsev, R. Tualle-Brouri, J. Laurat, and P. Grangier, Science SCIEAS 0036-8075 10.1126/science.1122858 312, 83 (2006).
61. J. S. Neergaard-Nielsen, B. M. Nielsen, C. Hettich, K. Mølmer, and E. S. Polzik, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.083604 97, 083604 (2006).
62. A. P. Lund, H. Jeong, T. C. Ralph, and M. S. Kim, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.70.020101 70, 020101 (R) (2004).
63. H. Jeong, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.72.034305 72, 034305 (2005).
64. P. P. Rohde and A. Lund, e-print arXiv: quant-ph/0702064.
65. M. Takeoka and M. Sasaki, e-print arXiv: quant-ph/0702126.