Generation of four-partite Greenberger-Horne-Zeilinger and W states by using a high-finesse bimodal cavity

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 77, Issue 6, 2008, Pages

  Gonta D ^a   Fritzsche, S ^a,b   Radtke, T ^c  

^a MAX PLANCK INSTITUT FÜR KERNPHYSIK   (Germany)

^b GSI HELMHOLTZZENTRUM FÜR SCHWERIONENFORSCHUNG GMBH   (Germany)

^c UNIVERSITY OF KASSEL   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ATOMIC PHYSICS; ELECTROMAGNETIC WAVE POLARIZATION;

AMERICAN PHYSICAL SOCIETY (APS); BIMODAL CAVITIES; CAVITY QED; GENERAL (CO); GREENBERGER HORNE ZEILINGER (GHZ); IN ORDER; N-PARTITE; RESONANT INTERACTIONS; RYDBERG ATOMS; SINGLE MODE CAVITIES; W STATES;

ATOMS;

EID: 45249087901     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.77.062312     Document Type: Article

References (42)

1. M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, Cambridge, 2000).
2. C. H. Bennett and S. J. Wiesner, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.69.2881 69, 2881 (1992).
3. A. K. Ekert, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.67.661 67, 661 (1991).
4. L. K. Grover, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.79. 325 79, 325 (1997).
5. D. M. Greenberger, M. Horne, and A. Zeilinger, in Bell's Theorem, Quantum Theory, and Conceptions of the Universe, edited by, M. Kafatos, (Kluwer, Dordrecht, 1989), p. 73.
6. W. Dür, G. Vidal, and J. I. Cirac, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.62.062314 62, 062314 (2000).
7. N. D. Mermin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.65. 1838 65, 1838 (1990).
8. S. M. Roy and V. Singh, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.67.2761 67, 2761 (1991).
9. 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)
10. J.-W. Pan, Nature (London) NATUAS 0028-0836 10.1038/35000514 403, 515 (2000).
11. M. Eibl, N. Kiesel, M. Bourennane, C. Kurtsiefer, and H. Weinfurter, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.077901 92, 077901 (2004)
12. M. Kiesel, J. Mod. Opt. JMOPEW 0950-0340 10.1080/0950034031000064861 50, 1131 (2003).
13. R. J. Nelson, D. G. Cory, and S. Lloyd, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.61.022106 61, 022106 (2000).
14. G. Teklemariam, E. M. Fortunato, M. A. Pravia, Y. Sharf, T. F. Havel, D. G. Cory, A. Bhattaharyya, and J. Hou, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.66.012309 66, 012309 (2002).
15. A. Rauschenbeutel, Science SCIEAS 0036-8075 10.1126/science.288.5473.2024 288, 2024 (2000).
16. The 3- W states have not been produced experimentally yet.
17. C. F. Roos, Science SCIEAS 0036-8075 10.1126/science.1097522 304, 1478 (2004).
18. J. M. Raimond, M. Brune, and S. Haroche, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.73.565 73, 565 (2001).
19. S. Haroche and J. M. Raimond, in Cavity Quantum Electrodynamics, edited by, P. Bergman, (Academic, New York, 1994), p. 123.
20. 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).
21. C. A. Sackett, Nature (London) NATUAS 0028-0836 10.1038/35005011 404, 256 (2000).
22. M. Eibl, S. Gaertner, M. Bourennane, C. Kurtsiefer, M. Zukowski, and H. Weinfurter, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.200403 90, 200403 (2003).
23. S. Haroche and J. M. Raimond, Exploring the Quantum: Atoms, Cavities, and Photons (Oxford University Press, Oxford, 2006).
24. S. Kuhr, Appl. Phys. Lett. APPLAB 0003-6951 10.1063/1.2724816 90, 164101 (2007).
25. E. T. Jaynes and F. W. Cummings, Proc. IEEE 51, 89 (1963). 0018-9219
26. A. Rauschenbeutel, P. Bertet, S. Osnaghi, G. Nogues, M. Brune, J. M. Raimond, and S. Haroche, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.64. 050301 64, 050301 (R) (2001).
27. A. Biswas and G. S. Agarwal, J. Mod. Opt. JMOPEW 0950-0340 10.1080/09500340310001654982 51, 1627 (2004).
28. M. Ikram and F. Saif, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.66. 014304 66, 014304 (2002).
29. Y. Zhen-Biao and S. Wan-Jun, Chin. Phys. CHPHF4 1009-1963 10.1088/1009-1963/16/2/025 16, 435 (2007).
30. C. Wildfeuer and D. H. Schiller, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.67.053801 67, 053801 (2003).
31. M. S. Zubairy, M. Kim, and M. O. Scully, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.68.033820 68, 033820 (2003).
32. I. P. de Queiros, S. Souza, W. B. Cardoso, and N. G. de Almeida, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.76.034101 76, 034101 (2007).
33. A. R. Bosco de Magalhaes and M. C. Nemes, Phys. Lett. A 339, 294 (2005). 0375-9601
34. D. Gonta and S. Fritzsche, J. Phys. B 41, 095503 (2008). 0022-3700
35. In order to be compatible with the Bloch-sphere notation of Sec. 3, the fourth qubit should read as | 4 = | e4 and | 4 = | g4. In Sec. 2, however, we can safely use the reversed notation from Eqs. 15 in order to represent the 4-GHZ state 14 in the form as it was previously announced in Eq. 3.
36. A. Einstein, B. Podolsky, and N. Rosen, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.47.777 47, 777 (1935).
37. E. Hagley, X. Maitre, G. Nogues, C. Wunderlich, M. Brune, J. M. Raimond, and S. Haroche, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.79.1 79, 1 (1997).
38. Q. A. Turchette, C. J. Hood, W. Lange, H. Mabuchi, and H. J. Kimble, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.75.4710 75, 4710 (1995).
39. L. M. Duan and H. J. Kimble, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.127902 92, 127902 (2004).
40. T. Radtke and S. Fritzsche, Comput. Phys. Commun. CPHCBZ 0010-4655 10.1016/j.cpc.2006.03.006 175, 145 (2006)
41. T. Radtke and S. Fritzsche, Comput. Phys. Commun. 176, 617 (2007). 0010-4655
42. F. Verstraete, J. Dehaene, B. DeMoor, and H. Verschelde, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.65.052112 65, 052112 (2002).