Optimal generation of single-qubit operation from an always-on interaction by algebraic decoupling

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 73, Issue 2, 2006, Pages

  Zhang, Jun ^a,b   Whaley, K Birgitta ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

HAMILTONIANS; OPTIMAL CONTROL SYSTEMS; SIGNAL PROCESSING; SOLID STATE PHYSICS;

ALGEBRAIC DECOUPLING; HILBERT SPACE; SOLID-QUBIT OPERATIONS;

ELEMENTARY PARTICLES;

EID: 33144462022     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.73.022306     Document Type: Article

References (40)

1. A. Barenco, C. H. Bennett, R. Cleve, D. P. DiVincenzo, N. Margolus, P. Shor, T. Sleator, J. A. Smolin, and H. Weinfurter, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.52.3457 52, 3457 (1995).
2. J. Zhang and K. B. Whaley, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.052317 71, 052317 (2005).
3. F. W. Strauch, P. R. Johnson, A. J. Dragt, C. J. Lobb, J. R. Anderson, and F. C. Wellstood, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91. 167005 91, 167005 (2003).
4. T. Yamamoto, Y. A. Pashkin, O. Astafiev, Y. Nakamura, and J. Tsai, Nature (London) NATUAS 0028-0836 10.1038/nature02015 425, 941 (2003).
5. J. Mooij, T. Orlando, L. Levitov, L. Tian, C. van der Wal, and S. Lloyd, Science SCIEAS 0036-8075 10.1126/science.285.5430.1036 285, 1036 (1999).
6. Y. Makhlin, G. Schön, and A. Shnirman, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.73.357 73, 357 (2001).
7. J. Clarke, Phys. Scr. PHSTBO 0031-8949 10.1238/Physica.Topical.102a00173 T102, 173 (2002).
8. D. V. Averin and C. Bruder, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.057003 91, 057003 (2003).
9. B. L. T. Plourde, J. Zhang, K. B. Whaley, F. K. Wilhelm, T. L. Robertson, T. Hime, S. Linzen, P. A. Reichardt, C. -E. Wu, and J. Clarke, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.70.140501 70, 140501 (R) (2004).
10. D. Loss and D. P. DiVincenzo, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.57.120 57, 120 (1998).
11. G. Burkard, D. Loss, and D. P. DiVincenzo, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.59.2070 59, 2070 (1999).
12. S. Das Sarma, R. de Sousa, X. Hu, and B. Koiller, Solid State Commun. SSCOA4 0038-1098 10.1016/j.ssc.2004.12.037 133, 737 (2005).
13. D. Suter and K. Lim, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.65. 052309 65, 052309 (2002).
14. J. Twamley, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.67.052318 67, 052318 (2003).
15. R. Freeman, Prog. Nucl. Magn. Reson. Spectrosc. PNMRAT 0079-6505 10.1016/S0079-6565(97)00024-1 32, 59 (1998).
16. C. Slichter, Principles of Magnetic Resonance (Springer-Verlag, Berlin, 1990).
17. M. Mehring, Principles of High Resolution NMR in Solids (Springer-Verlag, Berlin, 1983).
18. R. R. Ernst, G. Bodenhausen, and A. Wokaun, Principles of Nuclear Magnetic Resonance in One and Two Dimensions (Clarendon Press, Oxford, 1987).
19. U. Haeberlen, High Resolution NMR in Solids (Academic, New York, 1976).
20. D. W. Leung, I. L. Chuang, F. Yamaguchi, and Y. Yamamoto, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.61.042310 61, 042310 (2000).
21. E. M. Fortunato, M. A. Pravia, N. Boulant, G. Teklemariam, T. F. Havel, and D. G. Cory, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1465412 116, 7599 (2002).
22. L. M. Vandersypen and I. L. Chuang, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.76.1037 76, 1037 (2004).
23. C. Ramanathan, S. Sinha, J. Baugh, T. F. Havel, and D. G. Cory, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.020303 71, 020303 (R) (2005).
24. T. Schulte-Herbrüggen, A. Spörl, N. Khaneja, and S. J. Glaser, quant-ph/0502104.
25. E. Kupce and R. Freeman, J. Magn. Reson., Ser. A JMRAE2 1064-1858 10.1006/jmra.1995.1043 112, 261 (1995).
26. T. D. Ladd, D. Maryenko, Y. Yamamoto, E. Abe, and K. M. Ito, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.71.014401 71, 014401 (2005).
27. R. de Sousa, N. Shenvi, and K. B. Whaley, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.72.045330 72, 045330 (2005).
28. D. A. Lidar and L. -A. Wu, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.88.017905 88, 017905 (2001).
29. X. Zhou, Z. -W. Zhou, G. -C. Guo, and M. J. Feldman, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.197903 89, 197903 (2002).
30. S. C. Benjamin and S. Bose, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.247901 90, 247901 (2003).
31. A. Majumdar and E. R. P. Zuiderweg, J. Magn. Reson., Ser. A JMRAE2 1064-1858 10.1006/jmra.1995.1051 113, 19 (1995).
32. J. F. Cornwell, Group Theory in Physics: An Introduction (Academic Press, London 1997).
33. D. D'Alessandro and M. Dahleh, IEEE Trans. Autom. Control IETAA9 0018-9286 10.1109/9.928587 46, 866 (2001).
34. L. Pontryagin, V. Boltyanskii, R. Gamkrelidze, and E. Mischenko, The Mathematical Theory of Optimal Processes (Wiley, New York, 1962).
35. J. E. Marsden and T. S. Ratiu, Introduction to Mechanics and Symmetry (Springer-Verlag, New York, 1999).
36. L. Viola, S. Lloyd, and E. Knill, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.83.4888 83, 4888 (1999).
37. L. Viola, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.66.012307 66, 012307 (2003).
38. L. A. Wu and D. A. Lidar, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.88.207902 88, 207902 (2002).
39. M. S. Byrd and D. A. Lidar, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.047901 89, 047901 (2002).
40. J. Wei and E. Norman, Proc. Am. Math. Soc. PAMYAR 0002-9939 15, 327 (1964).