Experimental implementation of a logical Bell state encoding

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 75, Issue 4, 2007, Pages

  Hodges, J S ^a   Cappellaro, P ^a,c   Havel, T F ^a   Martinez, R ^b   Cory, D G ^a  

^a Massachusetts Institute of Technology Cambridge   (United States)

^b NEW MEXICO HIGHLANDS UNIVERSITY   (United States)

^c HARVARD SMITHSONIAN CENTER FOR ASTROPHYSICS   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CORRELATION THEORY; DATA PROCESSING; LOGIC GATES; NUCLEAR MAGNETIC RESONANCE; QUANTUM OPTICS;

BELL STATE ENCODING; LOGICAL GATES; LOGICAL QUBITS; QUANTUM INFORMATION;

SIGNAL ENCODING;

EID: 34247349448     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.75.042320     Document Type: Article

References (50)

1. P. W. Shor, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.52.R2493 52, R2493 (1995).
2. A. R. Calderbank and P. W. Shor, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.54.1098 54, 1098 (1996).
3. D. Gottesman, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.54.1862 54, 1862 (1996).
4. A. M. Steane, Proc. R. Soc. London, Ser. A PRLAAZ 1364-5021 10.1098/rspa.1996.0136 452, 2551 (1996).
5. A. M. Steane, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.77. 793 77, 793 (1996).
6. L. Viola and S. Lloyd, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.58. 2733 58, 2733 (1998).
7. L. Viola, S. Lloyd, and E. Knill, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.83.4888 83, 4888 (1999).
8. L. Viola, E. Knill, and S. Lloyd, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.82.2417 82, 2417 (1999).
9. L. Viola, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.66.012307 66, 012307 (2002).
10. P. Zanardi and M. Rasetti, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.79.3306 79, 3306 (1997).
11. L.-M. Duan and G.-C. Guo, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.79.1953 79, 1953 (1997).
12. D. A. Lidar, I. L. Chuang, and K. B. Whaley, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.81.2594 81, 2594 (1998).
13. E. Knill, R. Laflamme, and L. Viola, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.84.2525 84, 2525 (2000).
14. A. Y. Kitaev, Ann. Phys. (N.Y.) APNYA6 0003-4916 10.1016/S0003-4916(02) 00018-0 303, 2 (2003).
15. P. G. Kwiat, A. J. Berglund, J. B. Altepeter, and A. G. White, Science SCIEAS 0036-8075 10.1126/science.290.5491.498 290, 498 (2000).
16. E. M. Fortunato, L. Viola, M. A. Pravia, E. Knill, R. Laflamme, T. F. Havel, and D. G. Cory, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.67.062303 67, 062303 (2003).
17. D. Kielpinski, V. Meyer, M. A. Rowe, C. A. Sackett, W. M. Itano, C. Monroe, and D. J. Wineland, Science SCIEAS 0036-8075 10.1126/science.1057357 291, 1013 (2001).
18. H. Haffner, Appl. Phys. B: Lasers Opt. APBOEM 0946-2171 10.1007/s00340-005-1917-z 81, 151 (2005).
19. C. Langer, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95. 060502 95, 060502 (2005).
20. E. Fortunato, L. Viola, J. Hodges, G. Teklemarian, and D. Cory, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/4/1/305 4, 5.1 (2002).
21. M. Mohseni, J. S. Lundeen, K. J. Resch, and A. M. Steinberg, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.187903 91, 187903 (2003).
22. J. E. Ollerenshaw, D. A. Lidar, and L. E. Kay, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.217904 91, 217904 (2003).
23. R. Feynman, Found. Phys. FNDPA4 0015-9018 10.1007/BF01886518 16, 507 (1986).
24. S. Lloyd, Science SCIEAS 0036-8075 10.1126/science.274.5290.1073 273, 1073 (1996).
25. P. W. Shor, in Proceedings of the 35th Annual Symposium on Foundations of Computer Science, 1994 (IEEE Computer Society Press, Sante Fe, New Mexico, 1994), pp. 124-134.
26. P. Cappellaro, J. Emerson, N. Boulant, C. Ramanathan, S. Lloyd, and D. G. Cory, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.020502 94, 020502 (2005).
27. C. H. Bennett and G. Brassard, in Proceedings of IEEE International Conference on Computers, Systems and Signal Processing, 1984 (IEEE, New York, 1984), pp. 175-179.
28. C. Negrevergne, T. S. Mahesh, C. A. Ryan, M. Ditty, F. Cyr-Racine, W. Power, N. Boulant, T. Havel, D. G. Cory, and R. Laflamme, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.170501 96, 170501 (2006).
29. J.-S. Lee and A. K. Khitrin, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.70.022330 70, 022330 (2004).
30. D. Leibfried, Nature (London) NATUAS 0028-0836 10.1038/nature04251 438, 639 (2005).
31. H. Haffner, Nature (London) NATUAS 0028-0836 10.1038/nature04279 438, 643 (2005).
32. P. Cappellaro, J. S. Hodges, T. F. Havel, and D. G. Cory, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.2216702 125, 044514 (2006).
33. H. Carr and E. Purcell, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.94. 630 94, 630 (1954).
34. U. Haeberlen and J. S. Waugh, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.175.453 175, 453 (1968).
35. U. Haeberlen, High Resolution NMR in Solids: Selective Averaging (Academic Press, New York, 1976).
36. E. Knill, R. Laflamme, R. Martinez, and C.-H. Tseng, Nature (London) NATUAS 0028-0836 10.1038/35006012 404, 368 (2000).
37. A. W. Overhauser, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.91.476 91, 476 (1953).
38. A. W. Overhauser, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.92.411 92, 411 (1953).
39. T. Carver and P. Slicher, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.92.212.2 92, 212 (1953).
40. I. Solomon, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.99.559 99, 559 (1955).
41. D. Cory, M. Price, and T. Havel, Physica D PDNPDT 0167-2789 10.1016/S0167-2789(98)00046-3 120, 82 (1998).
42. D. G. Cory, A. F. Fahmy, and T. F. Havel, Proc. Natl. Acad. Sci. U.S.A. PNASA6 0027-8424 10.1073/pnas.94.5.1634 94, 1634 (1997).
43. N. Boulant, T. F. Havel, M. A. Pravia, and D. G. Cory, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.67.042322 67, 042322 (2003).
44. E. Fortunato, M. Pravia, N. Boulant, G. Teklemariam, T. Havel, and D. Cory, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1465412 116 (17), 7599 (2002).
45. M. A. Pravia, N. Boulant, J. Emerson, A. Farid, E. M. Fortunato, T. F. Havel, R. Martinez, and D. G. Cory, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1619132 119, 9993 (2003).
46. E. Knill, R. Laflamme, R. Martinez, and C. H. Tseng, Nature (London) NATUAS 0028-0836 10.1038/35006012 404, 368 (2000).
47. I. L. Chuang, N. A. Gershenfeld, M. G. Kubinec, and D. Leung, Proc. R. Soc. London, Ser. A PRLAAZ 1364-5021 10.1098/rspa.1998.0170 454, 447 (1998).
48. P. Cappellaro, J. S. Hodges, T. F. Havel, and D. G. Cory, following paper, Phys. Rev. A PLRAAN 1050-2947 75, 042321 (2007).
49. D. DiVincenzo, D. Bacon, J. Kempe, G. Burkard, and K. B. Whaley, Nature (London) NATUAS 0028-0836 10.1038/35042541 408, 339 (2000).
50. C. H. Tseng, S. Somaroo, Y. Sharf, E. Knill, R. Laflamme, T. F. Havel, and D. G. Cory, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.61.012302 61, 012302 (1999).