Second-order shaped pulses for solid-state quantum computation

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 78, Issue 3, 2008, Pages

  Pryadko, Leonid P ^a   Sengupta, Pinaki ^b  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b LOS ALAMOS NATIONAL LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL LINGUISTICS; CONVERGENCE OF NUMERICAL METHODS; NANOSTRUCTURED MATERIALS; QUANTUM COMPUTERS;

COMPOSITE PULSES; LONG CHAINS; MAGNUS EXPANSIONS; NEAREST NEIGHBORS; PULSE AMPLITUDES; PULSE SHAPING; QUANTUM COMPUTATIONS; ROTATION ANGLES; SECOND ORDERS; SHAPED PULSES;

ERROR ANALYSIS;

EID: 53349120857     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.78.032336     Document Type: Article

References (49)

1. L. M. K. Vandersypen, M. Steffen, G. Breyta, C. S. Yannoni, M. H. Sherwood, and I. L. Chuang, Nature (London) NATUAS 0028-0836 10.1038/414883a 414, 883 (2001).
2. G. M. Leskowitz, N. Ghaderi, R. A. Olsen, and L. J. Muller, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1582171 119, 1643 (2003).
3. C. S. Yannoni, M. H. Sherwood, D. C. Miller, I. L. Chuang, L. M. K. Vandersypen, and M. G. Kubinec, Appl. Phys. Lett. APPLAB 0003-6951 10.1063/1.125389 75, 3563 (1999).
4. L. M. K. Vandersypen and I. L. Chuang, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.76.1037 76, 1037 (2004).
5. C. P. Slichter, Principles of Magnetic Resonance, 3rd ed. (Springer-Verlag, New York, 1992).
6. E. Knill, R. Laflamme, and W. H. Zurek, Science SCIEAS 0036-8075 10.1126/science.279.5349.342 279, 342 (1998).
7. A. G. Fowler, C. D. Hill, and L. C. L. Hollenberg, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.69.042314 69, 042314 (2004).
8. M. D. Price, T. F. Havel, and D. G. Cory, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/2/1/10 2, 10 (2000).
9. N. Boulant, K. Edmonds, J. Yang, M. A. Pravia, and D. G. Cory, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.68.032305 68, 032305 (2003).
10. G. D. Sanders, K. W. Kim, and W. C. Holton, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.59.1098 59, 1098 (1999).
11. P. Hodgkinson, D. Sakellariou, and L. Emsley, Chem. Phys. Lett. CHPLBC 0009-2614 326, 575 (2000).
12. A. O. Niskanen, J. J. Vartiainen, and M. M. Salomaa, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.197901 90, 197901 (2003).
13. M. Steffen and R. H. Koch, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.75.062326 75, 062326 (2007).
14. W. S. Warren, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.447644 81, 5437 (1984).
15. C. Bauer, R. Freeman, T. Frenkiel, J. Keeler, and A. J. Shaka, J. Magn. Reson. (1969-1992) JOMRA4 0022-2364 10.1016/0022-2364(84)90148-3 58, 442 (1984).
16. H. Geen and R. Freeman, J. Magn. Reson. (1969-1992) JOMRA4 0022-2364 10.1016/0022-2364(91)90034-Q 93, 93 (1991).
17. D. Goswami, Phys. Rep. PRPLCM 0370-1573 10.1016/S0370-1573(02)00480-5 374, 385 (2003).
18. P. Sengupta and L. P. Pryadko, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.037202 95, 037202 (2005).
19. R. Freeman, Prog. Nucl. Magn. Reson. Spectrosc. PNMRAT 0079-6505 10.1016/S0079-6565(97)00024-1 32, 59 (1998).
20. L. P. Pryadko and G. Quiroz, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.77.012330 77, 012330 (2008).
21. E. L. Hahn, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.80.580 80, 580 (1950).
22. M. Steffen, J. M. Martinis, and I. L. Chuang, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.68.224518 68, 224518 (2003).
23. D. Li, A. E. Dementyev, Y. Dong, R. G. Ramos, and S. E. Barrett, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.190401 98, 190401 (2007).
24. D. Li, Y. Dong, R. G. Ramos, J. D. Murray, K. MacLean, A. E. Dementyev, and S. E. Barrett, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.77.214306 77, 214306 (2008).
25. Y. Dong, R. G. Ramos, D. Li, and S. E. Barrett, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.100.247601 100, 247601 (2008).
26. P. Chen, C. Piermarocchi, and L. J. Sham, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.87.067401 87, 067401 (2001).
27. M. Mehring, Principles of High-Resolution NMR in Solids (Springer-Verlag, New York, 1983).
28. J. S. Waugh, L. M. Huber, and U. Haeberlen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.20.180 20, 180 (1968).
29. J. S. Waugh, C. H. Wang, L. M. Huber, and R. L. Vold, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1668698 48, 652 (1968).
30. Phase Transitions and Critical Phenomena, edited by, C. Domb, and, M. S. Green, (Academic, London, 1974), Vol. 3.
31. J. G. A. Baker, Quantitative Theory of Critical Phenomena (Academic, San Diego, 1990).
32. M. Galassi, J. Davies, J. Theiler, B. Gough, G. Jungman, M. Booth, and F. Rossiet, GNU Scientific Library Reference Manual, 2nd ed. (2003), Network Theory Ltd., URL http://www.gnu.org/software/gsl/.
33. L. P. Pryadko and P. Sengupta, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.73.085321 73, 085321 (2006).
34. A. G. Kofman and G. Kurizki, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.87.270405 87, 270405 (2001).
35. A. G. Kofman and G. Kurizki, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.130406 93, 130406 (2004).
36. P. Facchi, S. Tasaki, S. Pascazio, H. Nakazato, A. Tokuse, and D. A. Lidar, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.022302 71, 022302 (2005).
37. K. R. Brown, A. W. Harrow, and I. L. Chuang, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.70.052318 70, 052318 (2004).
38. K. Khodjasteh and D. A. Lidar, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.180501 95, 180501 (2005).
39. S. Zhang, X. Wu, and M. Mehring, Chem. Phys. Lett. CHPLBC 0009-2614 10.1016/0009-2614(90)87239-N 173, 481 (1990).
40. S. Wimperis, J. Magn. Reson., Ser. A JMRAE2 1064-1858 10.1006/jmra.1994.1159 109, 221 (1994).
41. H. K. Cummins, G. Llewellyn, and J. A. Jones, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.67.042308 67, 042308 (2003).
42. D. McHugh and J. Twamley, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.012327 71, 012327 (2005).
43. K. R. Brown, A. W. Harrow, and I. L. Chuang, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.70.052318 70, 052318 (2004).
44. N. Hedin and I. Furó, J. Magn. Reson. JMARF3 1090-7807 10.1006/jmre.1999.1883 142, 32 (2000).
45. F. Schmidt-Kaler, H. Häffner, M. Riebe, S. Gulde, G. P. T. Lancaster, T. Deuschle, C. Becher, C. F. Roos, J. Eschner, and R. Blatt, Nature (London) NATUAS 0028-0836 10.1038/nature01494 422, 408 (2003).
46. J. A. Jones, e-print arXiv:quant-ph/0301019v1.
47. C. Mignon, Y. Millot, and P. P. Man, C. R. Chim. CRCOCR 1631-0748 10.1016/j.crci.2003.12.013 7, 425 (2004).
48. R. Tycko, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.51.775 51, 775 (1983).
49. R. Tycko, H. M. Cho, E. Schneider, and A. Pines, J. Magn. Reson. (1969-1992) JOMRA4 0022-2364 10.1016/0022-2364(85)90270-7 61, 90 (1985).