Protection of quantum systems by nested dynamical decoupling

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 83, Issue 2, 2011, Pages

  Wang, Zhen Yu ^a   Liu, Ren Bao ^a  

^a CHINESE UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

[No Author keywords available]

Indexed keywords

CONTROL PULSE; DYNAMICAL DECOUPLING; FINITE AMPLITUDE; HERMITIANS; LIE ALGEBRA; MULTI-LEVEL SYSTEMS; MULTIQUBIT SYSTEM; PULSE DURATIONS; QUANTUM SYSTEM; SECOND ORDERS; SINGLE QUBIT OPERATIONS; SYMMETRY GROUPS; SYSTEM OPERATOR; TIME-DEPENDENT SYSTEMS;

ALGEBRA; QUANTUM ELECTRONICS; QUANTUM OPTICS;

DYNAMICAL SYSTEMS;

EID: 79751504580     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.83.022306     Document Type: Article

References (45)

1. E. L. Hahn, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.80.580 80, 580 (1950).
2. H. Carr and E. M. Purcell, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.94.630 94, 630 (1954).
3. M. Mehring, Principles of High Resolution NMR in Solids, 2nd ed. (Spinger-Verlag, Berlin, 1983).
4. A. Schweiger and G. Jeschke, Principles of Pulse Electron Paramagnetic Resonance (Oxford University Press, New York, 2001).
5. R. R. Ernst, G. Bodenhausen, and A. Wokaun, Principles of Nuclear Magnetic Resonance in One and Two Dimensions (Oxford University Press, Oxford, 1987).
6. L. Viola and S. Lloyd, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.58. 2733 58, 2733 (1998).
7. M. Ban, J. Mod. Opt. JMOPEW 0950-0340 10.1080/09500349808231241 45, 2315 (1998).
8. P. Zanardi, Phys. Lett. A PYLAAG 0375-9601 10.1016/S0375-9601(99)00365-5 258, 77 (1999).
9. L. Viola, E. Knill, and S. Lloyd, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.82.2417 82, 2417 (1999).
10. M. S. Byrd and D. A. Lidar, Quant. Info. Proc. 1570-0755 10.1023/A:1019697017584 1, 19 (2002).
11. K. Kh (Pubitemid 41777257)
12. K. Khodjasteh and D. A. Lidar, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.75.062310 75, 062310 (2007). (Pubitemid 47014705)
13. W. Yao, R. B. Liu, and L. J. Sham, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.077602 98, 077602 (2007).
14. L. F. Santos and L. Viola, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/10/8/083009 10, 083009 (2008).
15. G. A. Álvarez, A. Ajoy, X. Peng, and D. Suter, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.82.042306 82, 042306 (2010).
16. G. S. Uhrig, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98. 100504 98, 100504 (2007). (Pubitemid 46397329)
17. B. Lee, W. M. Witzel, and S. Das Sarma, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.100.160505 100, 160505 (2008). (Pubitemid 351585515)
18. G. S. Uhrig, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/10/8/083024 10, 083024 (2008).
19. W. Yang and R.-B. Liu, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.101.180403 101, 180403 (2008).
20. G. S. Uhrig and S. Pasini, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/12/4/045001 12, 045001 (2010).
21. M. J. Biercuk, H. Uys, A. P. VanDevender, N. Shiga, W. M. Itano, and J. J. Bollinger, Nature (London) NATUAS 0028-0836 10.1038/nature07951 458, 996 (2009).
22. M. J. Biercuk, H. Uys, A. P. VanDevender, N. Shiga, W. M. Itano, and J. J. Bollinger, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.79.062324 79, 062324 (2009).
23. H. Uys, M. J. Biercuk, and J. J. Bollinger, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.103.040501 103, 040501 (2009).
24. J. F. Du, X. Rong, N. Zhao, Y. Wang, J. H. Yang, and R. B. Liu, Nature (London) NATUAS 0028-0836 10.1038/nature08470 461, 1265 (2009).
25. G. S. Uhrig, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.102. 120502 102, 120502 (2009).
26. J. R. West, B. H. Fong, and D. A. Lidar, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.104.130501 104, 130501 (2010).
27. S. Pasini and G. S. Uhrig, J. Phys. A: Math. Theor. PRLTAO 1751-8113 10.1088/1751-8113/43/13/132001 43, 132001 (2010).
28. D. Dhar, L. K. Grover, and S. M. Roy, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.100405 96, 100405 (2006).
29. M. Mukhtar, T. B. Saw, W. T. Soh, and J. Gong, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.81.012331 81, 012331 (2010).
30. E. Knill (1996), e-print arXiv: quant-ph/9608048v2.
31. P. Wocjan, M. Rötteler, D. Janzing, and T. Beth, Quantum Inf. Comput. 2, 133 (2002).
32. S. Pasini, T. Fischer, P. Karbach, and G. S. Uhrig, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.77.032315 77, 032315 (2008). (Pubitemid 351393411)
33. D. Vitali and P. Tombesi, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.59.4178 59, 4178 (1999).
34. L.-M. Duan and G.-C. Guo, Phys. Lett. A PYLAAG 0375-9601 10.1016/S0375-9601(99)00592-7 261, 139 (1998).
35. R. B. Liu, W. Yao, and L. J. Sham, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/9/7/226 9, 226 (2007). (Pubitemid 47130468)
36. H. K. Ng, D. A. Lidar, and J. Preskill (2009), e-print arXiv: 0911.3202v1.
37. W. Yang, Z.-Y. Wang, and R.-B. Liu, Front. Phys. 1673-3487 10.1007/s11467-010-0113-8 6, 2 (2011).
38. L. Viola and E. Knill, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.037901 90, 037901 (2003).
39. P. Chen, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.73.022343 73, 022343 (2006).
40. K. Khodjasteh, D. A. Lidar, and L. Viola, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.104.090501 104, 090501 (2010).
41. S. Pasini and G. S. Uhrig, J. Phys. A: Math. Theor. PRLTAO 1751-8113 10.1088/1751-8113/41/31/312005 41, 312005 (2008).
42. P. Wocjan, M. Rötteler, D. Janzing, and T. Beth, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.65.042309 65, 042309 (2002).
43. L. Viola, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.66.012307 66, 012307 (2002).
44. M. S. Byrd and D. A. Lidar, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.047901 89, 047901 (2002).
45. M. Mukhta, W. T. Soh, T. B. Saw, and J. Gong, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.82.052338 82, 052338 (2010).