Quantum codes for controlling coherent evolution

Journal of Chemical Physics

Volumn 113, Issue 24, 2000, Pages 10878-10885

  Sharf, Yehuda ^a   Havel, Timothy F ^b   Cory, David G ^a  

^a Massachusetts Institute of Technology Cambridge   (United States)

^b HARVARD MEDICAL SCHOOL   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; NITROGEN COMPOUNDS; NUCLEAR MAGNETIC RESONANCE SPECTROSCOPY;

ALANINES; QUANTUM ERROR CORRECTIONS (QEC);

QUANTUM THEORY;

EID: 0034510129     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1326071     Document Type: Article

References (33)

1. P. Shor, Phys. Rev. A 52, R2493 (1995).
2. A. M. Steane, Phys. Rev. Lett. 77, 793 (1996).
3. R. Laflamme, C. Miquel, J. P. Paz, and W. Zurek, Phys. Rev. Lett. 77, 198 (1996).
4. J. Preskill, Proc. R. Soc. London, Ser. A 454, 385 (1998).
5. E. Knill and R. Laflamme, Phys. Rev. A 55, 900 (1997).
6. S. S. Somaroo, D. G. Cory, and T. F. Havel, Phys. Lett. A 240, 1 (1998).
7. E. Knill, R. Laflamme, and L. Viola, Phys. Rev. Lett. 84, 2525 (2000).
8. M. B. Ruskai, Phys. Rev. Lett. 85, 194 (2000).
9. P. Zanardi and M. Rasetti, Phys. Rev. Lett. 79, 3306 (1997).
10. P. Zanardi and M. Rasetti, Mod. Phys. Lett. B 25, 1085 (1997).
11. D. A. Lidar, I. L. Chuang, and K. B. Whaley, Phys. Rev. Lett. 81, 2594 (1998).
12. L. Viola, E. Knill, and S. Lloyd, LANL preprint quant-ph/0002072.
13. D. G. Cory, M. D. Price, W. Maas, E. Knill, R. Laflamme, W. H. Zurek, T. F. Havel, and S. S. Somaroo, Phys. Rev. Lett. 81, 2152 (1998).
14. D. W. Leung, L. M. K. Vandersypen, X. Zhou, M. H. Sherwood, C. S. Yannoni, M. G. Kubinec, and I. L. Chuang, Phys. Rev. A 60, 1924 (1999).
15. Y. Sharf, D. G. Cory, S. S. Somaroo, E. Knill, R. Laflamme, W. H. Zurek, and T. F. Havel, Mol. Phys. 98, 1347 (2000).
16. U. Haeberlen and J. Waugh, Phys. Rev. 175, 453 (1968).
17. R. R. Ernst, G. Bodenhausen, and A. Wokaun, Principles of Nuclear Magnetic Resonance in One and Two Dimensions (Clarendon, Oxford, 1987).
18. A. Barenco, C. H. Bennett, R. Cleve, D. P. DiVincenzo, N. Margolus, P. Shor, T. Sleator, J. Smolin, and H. Weinfurter, Phys. Rev. A 52, 3457 (1995).
19. D. G. Cory, J. B. Miller, and A. N. Garroway, J. Magn. Reson. 90, 205 (1990).
20. D. Gottesman, Phys. Rev. A 54, 1862 (1996).
21. A. R. Calderbank, E. M. Rains, P. W. Shor, and N. J. A. Sloane, Phys. Rev. Lett. 78, 405 (1997).
22. D. G. Cory, A. F. Fahmy, and T. F. Havel, Proc. Natl. Acad. Sci. U.S.A. 94, 1634 (1997).
23. N. A. Gershenfeld and I. L. Chuang, Science 275, 350 (1997).
24. D. G. Cory, M. D. Price, and T. F. Havel, Physica D 120, 82 (1998).
25. E. Knill, I. Chuang, and R. Laflamme, Phys. Rev. A 57, 3348 (1998).
26. I. L. Chuang, N. Gershenfeld, M. G. Kubinec, and D. W. Leung, Proc. R. Soc. London, Ser. A 454, 447 (1998).
27. O. W. Sörensen, G. W. Eich, M. H. Levitt, G. Bodenhausen, and R. R. Ernst, Prog. Nucl. Magn. Reson. Spectrosc. 16, 163 (1983).
28. M. D. Price, S. S. Somaroo, C.-H Tseng, J. C. Gore, A. F. Fahmy, T. F. Havel, and D. G. Cory, J. Magn. Reson. 140, 371 (1999).
29. S. L. Patt, J. Magn. Reson. 96, 94 (1992).
30. W. S. Warren, Science 277, 1688 (1997).
31. C. H. Tseng, S. Somaroo, T. F. Havel, K. Knill, R. Laflamme, Y. Sharf, and D. G. Cory, Phys. Rev. A 61, 012302 (2000).
32. D. Gottesman, Phys. Rev. A 57, 127 (1998).
33. E. Knill, R. Laflamme, and W. H. Zurek, Proc. R. Soc. London, Ser. A 454, 365 (1998).