Soft-pulse dynamical decoupling with Markovian decoherence

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 80, Issue 4, 2009, Pages

  Pryadko, Leonid P ^a   Quiroz, Gregory ^b  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b UNIVERSITY OF SOUTHERN CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COHERENCE PROTECTION; CUMULANT EXPANSION; DECOHERENCE; DYNAMICAL DECOUPLING; MARKOVIAN; QUANTUM ERROR CORRECTING CODES;

QUANTUM EFFICIENCY;

EID: 70350230399     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.80.042317     Document Type: Article

References (57)

1. C. P. Slichter, Principles of Magnetic Resonance, 3rd ed. (Springer-Verlag, New York, 1992).
2. P. Hodgkinson and L. Emsley, Prog. Nucl. Magn. Reson. Spectrosc. 36, 201 (2000). 10.1016/S0079-6565(99)00019-9
3. L. M. K. Vandersypen and I. L. Chuang, Rev. Mod. Phys. 76, 1037 (2005). 10.1103/RevModPhys.76.1037
4. U. Haeberlen and J. S. Waugh, Phys. Rev. 175, 453 (1968). 10.1103/PhysRev.175.453
5. U. Haeberlen and J. S. Waugh, Phys. Rev. 185, 420 (1969). 10.1103/PhysRev.185.420
6. A. Pines and J. S. Waugh, J. Magn. Reson. (1969-1992) 8, 354 (1972). 10.1016/0022-2364(72)90053-4
7. A. Pines and J. S. Waugh, Phys. Lett. A 47, 337 (1974). 10.1016/0375-9601(74)90192-3
8. L. Viola and S. Lloyd, Phys. Rev. A 58, 2733 (1998). 10.1103/PhysRevA.58. 2733
9. D. Vitali and P. Tombesi, Phys. Rev. A 59, 4178 (1999). 10.1103/PhysRevA.59.4178
10. L. Viola, E. Knill, and S. Lloyd, Phys. Rev. Lett. 82, 2417 (1999). 10.1103/PhysRevLett.82.2417
11. L. Viola, S. Lloyd, and E. Knill, Phys. Rev. Lett. 83, 4888 (1999). 10.1103/PhysRevLett.83.4888
12. L. Viola, E. Knill, and S. Lloyd, Phys. Rev. Lett. 85, 3520 (2000). 10.1103/PhysRevLett.85.3520
13. D. Vitali and P. Tombesi, Phys. Rev. A 65, 012305 (2001). 10.1103/PhysRevA.65.012305
14. C. Uchiyama and M. Aihara, Phys. Rev. A 66, 032313 (2002). 10.1103/PhysRevA.66.032313
15. M. S. Byrd and D. A. Lidar, Phys. Rev. A 67, 012324 (2003). 10.1103/PhysRevA.67.012324
16. K. Shiokawa and D. A. Lidar, Phys. Rev. A 69, 030302 (R) (2004). 10.1103/PhysRevA.69.030302
17. L. Faoro and L. Viola, Phys. Rev. Lett. 92, 117905 (2004). 10.1103/PhysRevLett.92.117905
18. P. Facchi, S. Tasaki, S. Pascazio, H. Nakazato, A. Tokuse, and D. A. Lidar, Phys. Rev. A 71, 022302 (2005). 10.1103/PhysRevA.71.022302
19. P. Sengupta and L. P. Pryadko, Phys. Rev. Lett. 95, 037202 (2005). 10.1103/PhysRevLett.95.037202
20. K. Khodjasteh and D. A. Lidar, Phys. Rev. Lett. 95, 180501 (2005). 10.1103/PhysRevLett.95.180501
21. L. P. Pryadko and P. Sengupta, Phys. Rev. B 73, 085321 (2006). 10.1103/PhysRevB.73.085321
22. P. Chen, Phys. Rev. A 75, 062301 (2007). 10.1103/PhysRevA.75.062301
23. G. S. Uhrig, Phys. Rev. Lett. 98, 100504 (2007). 10.1103/PhysRevLett.98. 100504
24. T. E. Hodgson, L. Viola, and I. D'Amico, Phys. Rev. B 78, 165311 (2008). 10.1103/PhysRevB.78.165311
25. S. Pasini, T. Fischer, P. Karbach, and G. S. Uhrig, Phys. Rev. A 77, 032315 (2008). 10.1103/PhysRevA.77.032315
26. M. S. Byrd and D. A. Lidar, J. Mod. Opt. 50, 1285 (2003).
27. L. Viola, Phys. Rev. A 66, 012307 (2002). 10.1103/PhysRevA.66.012307
28. M. Möttönen, R. de Sousa, J. Zhang, and K. B. Whaley, Phys. Rev. A 73, 022332 (2006). 10.1103/PhysRevA.73.022332
29. P. Kuopanportti, M. Mottonen, V. Bergholm, O. P. Saira, J. Zhang, and K. Birgitta Whaley, Phys. Rev. A 77, 032334 (2008). 10.1103/PhysRevA.77.032334
30. L. Cywiński, R. M. Lutchyn, C. P. Nave, and S. Das Sarma, Phys. Rev. B 77, 174509 (2008). 10.1103/PhysRevB.77.174509
31. P. Rebentrost, I. Serban, T. Schulte-Herbrüggen, and F. K. Wilhelm, Phys. Rev. Lett. 102, 090401 (2009). 10.1103/PhysRevLett.102.090401
32. G. S. Uhrig, New J. Phys. 10, 083024 (2008). 10.1088/1367-2630/10/8/ 083024
33. L. P. Pryadko and G. Quiroz, Phys. Rev. A 77, 012330 (2008). 10.1103/PhysRevA.77.012330
34. P. Capellaro, J. S. Hodges, T. F. Havel, and D. G. Cory, J. Chem. Phys. 125, 044514 (2006). 10.1063/1.2216702
35. J. S. Waugh, L. M. Huber, and U. Haeberlen, Phys. Rev. Lett. 20, 180 (1968). 10.1103/PhysRevLett.20.180
36. J. S. Waugh, C. H. Wang, L. M. Huber, and R. L. Vold, J. Chem. Phys. 48, 662 (1968). 10.1063/1.1668698
37. O. V. Konstantinov and V. I. Perel, Zh. Eksp. Teor. Fiz. 39, 197 (1960).
38. E. B. Davies, Commun. Math. Phys. 39, 91 (1974). 10.1007/BF01608389
39. M. I. Dykman, Phys. Status Solidi 88, 463 (1978) b. 10.1002/pssb. 2220880211
40. R. Alicki, Phys. Rev. A 40, 4077 (1989). 10.1103/PhysRevA.40.4077
41. A. G. Kofman and G. Kurizki, Phys. Rev. Lett. 93, 130406 (2004). 10.1103/PhysRevLett.93.130406
42. G. Lindblad, Commun. Math. Phys. 46, 119 (1976). 10.1007/BF01608499
43. R. Alicki, D. A. Lidar, and P. Zanardi, Phys. Rev. A 73, 052311 (2006). 10.1103/PhysRevA.73.052311
44. I. Gourlay and J. F. Snowdon, Phys. Rev. A 62, 022308 (2000). 10.1103/PhysRevA.62.022308
45. L. Ioffe and M. Mézard, Phys. Rev. A 75, 032345 (2007). 10.1103/PhysRevA.75.032345
46. Z. W. E. Evans, A. M. Stephens, J. H. Cole, and L. C. L. Hollenberg, e-print arXiv:0709.3875.
47. P. K. Sarvepalli, A. Klappenecker, and M. Rötteler, Proc. R. Soc. London, Ser. A 465, 1645 (2009). 10.1098/rspa.2008.0439
48. P. Aliferis and J. Preskill, Phys. Rev. A 78, 052331 (2008). 10.1103/PhysRevA.78.052331
49. A. M. Stephens, Z. W. E. Evans, S. J. Devitt, and L. C. L. Hollenberg, Phys. Rev. A 77, 062335 (2008). 10.1103/PhysRevA.77.062335
50. P. Zanardi, Phys. Lett. A 258, 77 (1999). 10.1016/S0375-9601(99)00365-5
51. W.-K. Rhim, D. D. Elleman, and R. W. Vaughan, J. Chem. Phys. 59, 3740 (1973). 10.1063/1.1680545
52. G. A. Morris and A. Gibbs, Magn. Reson. Chem. 29, 83 (1991). 10.1002/mrc.1260290116
53. L. P. Pryadko and P. Sengupta, Phys. Rev. A 78, 032336 (2008). 10.1103/PhysRevA.78.032336
54. W. S. Warren, J. Chem. Phys. 81, 5437 (1984). 10.1063/1.447644
55. S. Pasini, P. Karbach, C. Raas, and G. S. Uhrig, Phys. Rev. A 80, 022328 (2009). 10.1103/PhysRevA.80.022328
56. C. Bauer, R. Freeman, T. Frenkiel, J. Keeler, and A. J. Shaka, J. Magn. Reson. (1969-1992) 58, 442 (1984). 10.1016/0022-2364(84)90148-3
57. Y. Li, D. Lidar, and L. P. Pryadko (unpublished).