Random decoupling schemes for quantum dynamical control and error suppression

Physical Review Letters

Volumn 94, Issue 6, 2005, Pages

  Viola, Lorenza ^a   Knill, Emanuel ^b  

^a Lamont Doherty Earth Observatory   (United States)

^b NATIONAL INSTITUTE OF STANDARDS AND TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DECOUPLING PROTOCOLS; ERROR SUPPRESSION; QUANTUM DYNAMICAL CONTROL; RANDOM DECOUPLING SCHEMES;

CONTROL SYSTEMS; CORRELATION METHODS; ERROR ANALYSIS; HAMILTONIANS; INFORMATION SCIENCE; SET THEORY;

QUANTUM THEORY;

EID: 18144389416     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.94.060502     Document Type: Article

References (25)

1. U. Haeberlen, High Resolution NMR in Solids: Selective Averaging (Academic Press, New York, 1976).
2. M.A. Nielsen and I.L. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, Cambridge, England, 2000).
3. L. Viola, E. Knill, and S. Lloyd, Phys. Rev. Lett. 82, 2417 (1999).
4. M. S. Byrd and D. A. Lidar, Phys. Rev. Lett. 89, 047901 (2002); E. M. Fortunate et al., New J. Phys. 4, 5.1 (2002).
5. M. S. Byrd and D. A. Lidar, Phys. Rev. Lett. 89, 047901 (2002); E. M. Fortunate et al., New J. Phys. 4, 5.1 (2002).
6. N. Boulant et al., Quant. Info. Proc. 1, 135 (2002); K. Khodjasteh and D. A. Lidar, Phys. Rev. A 68, 022322 (2003).
7. N. Boulant et al., Quant. Info. Proc. 1, 135 (2002); K. Khodjasteh and D. A. Lidar, Phys. Rev. A 68, 022322 (2003).
8. See, e.g., L. Viola, Phys. Rev. A 66, 012307 (2002).
9. L. Viola, S. Lloyd, and E. Knill, Phys. Rev. Lett. 83, 4888 (1999).
10. L. Viola and E. Knill, Phys. Rev. Lett. 90, 037901 (2003).
11. K. Khodjasteh and D. A. Lidar, quant-ph/0408128.
12. Knowledge of the path may be ignored if only operators commuting with G are used, as is usually the case in the context of self-averaging of intermolecular interactions.
13. gε(·).
14. See EPAPS Document No. E-PRLTAO-94-073509 for appendix containing the proofs of Theorems 1 and 3. A direct link to this document may be found in the online article's HTML reference section. The document may also be reached via the EPAPS homepage (http://www.aip.org/pubservs/epaps-html) or from ftp.aip.org in the directory /epaps/. See the EPAPS homepage for more information.
15. P. Zanardi, Phys. Rev. A 60, R729 (1999).
16. E. Knill, R. Laflamme, and L. Viola, Phys. Rev. Lett. 84, 2525 (2000).
17. L. Faoro and L. Viola, Phys. Rev. Lett. 92, 117905 (2004); L. Falci, A. D'Arrigo, A. Mastellone, and E. Paladino, Phys. Rev. A70, 040101 (2004).
18. L. Faoro and L. Viola, Phys. Rev. Lett. 92, 117905 (2004); L. Falci, A. D'Arrigo, A. Mastellone, and E. Paladino, Phys. Rev. A70, 040101 (2004).
19. S. Mancini, D. Vitali, P. Tombesi, and R. Bonifacio, Europhys. Lett. 60, 498 (2002).
20. M.J. Bremner, J. Dodd, M.A. Nielsen, and D. Bacon, Phys. Rev. A 69, 012313 (2004).
21. O. Kern, G. Alber, and D.L. Shepelyansky, quant-ph/0407262.
22. M. Rötteler and P. Wocjan, quant-ph/0409135, and references therein.
23. P. Facchi, S. Montangero, R. Fazio, and S. Pascazio, quant-ph/0407098.
24. L. Viola, E. Knill, and S. Lloyd, Phys. Rev. Lett. 85, 3520 (2000); L.-A. Wu and D.A. Lidar, ibid. 88, 207902 (2002).
25. L. Viola, E. Knill, and S. Lloyd, Phys. Rev. Lett. 85, 3520 (2000); L.-A. Wu and D.A. Lidar, ibid. 88, 207902 (2002).