Fidelity enhancement by logical qubit encoding

Physical Review Letters

Volumn 99, Issue 22, 2007, Pages

  Henry, Michael K ^a   Ramanathan, Chandrasekhar ^a   Hodges, Jonathan S ^a   Ryan, Colm A ^b   Ditty, Michael J ^b   Laflamme, Raymond ^b   Cory, David G ^a  

^a Massachusetts Institute of Technology Cambridge   (United States)

^b UNIVERSITY OF WATERLOO   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

DEGREES OF FREEDOM (MECHANICS); HAMILTONIANS; HILBERT SPACES; NUCLEAR MAGNETIC RESONANCE;

DECOHERENCE FREE SUBSPACES; FIDELITY CONTROL; LOGICAL BELL STATES; QUBIT ENCODING;

QUANTUM THEORY;

EID: 36549005463     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.99.220501     Document Type: Article

References (36)

1. L.-M. Duan and G.-C. Guo, Phys. Rev. Lett. 79, 1953 (1997). PRLTAO 0031-9007 10.1103/PhysRevLett.79.1953
2. P. Zanardi and M. Rasetti, Phys. Rev. Lett. 79, 3306 (1997). PRLTAO 0031-9007 10.1103/PhysRevLett.79.3306
3. D.A. Lidar, I.L. Chuang, and K.B. Whaley, Phys. Rev. Lett. 81, 2594 (1998). PRLTAO 0031-9007 10.1103/PhysRevLett.81.2594
4. P.G. Kwiat, A.J. Berglund, J.B. Altepeter, and A.G. White, Science 290, 498 (2000). SCIEAS 0036-8075 10.1126/science.290.5491.498
5. D. Kielpinski, V. Meyer, M.A. Rowe, C.A. Sackett, W.M. Itano, C. Monroe, and D.J. Wineland, Science 291, 1013 (2001). SCIEAS 0036-8075 10.1126/science.1057357
6. E.M. Fortunato, M.A. Pravia, N. Boulant, G. Teklemariam, T.F. Havel, and D.G. Cory, J. Chem. Phys. 116, 7599 (2002). JCPSA6 0021-9606 10.1063/1.1465412
7. M. Mohseni, J.S. Lundeen, K.J. Resch, and A.M. Steinberg, Phys. Rev. Lett. 91, 187903 (2003). PRLTAO 0031-9007 10.1103/PhysRevLett.91.187903
8. J.E. Ollerenshaw, D.A. Lidar, and L.E. Kay, Phys. Rev. Lett. 91, 217904 (2003). PRLTAO 0031-9007 10.1103/PhysRevLett.91.217904
9. E.M. Fortunato, L. Viola, M.A. Pravia, E. Knill, R. Laflamme, T.F. Havel, and D.G. Cory, Phys. Rev. A 67, 062303 (2003). PLRAAN 1050-2947 10.1103/PhysRevA.67.062303
10. H. Haffner, Appl. Phys. B APBOEM 0946-2171 81, 151 (2005). 10.1007/s00340-005-1917-z
11. C. Langer, Phys. Rev. Lett. 95, 060502 (2005). PRLTAO 0031-9007 10.1103/PhysRevLett.95.060502
12. J.S. Hodges, P. Cappellaro, T.F. Havel, R. Martinez, and D.G. Cory, Phys. Rev. A 75, 042320 (2007). PLRAAN 1050-2947 10.1103/PhysRevA.75.042320
13. P. Cappellaro, J.S. Hodges, T.F. Havel, and D.G. Cory, Phys. Rev. A 75, 042321 (2007). PLRAAN 1050-2947 10.1103/PhysRevA.75.042321
14. D.P. DiVincenzo, D. Bacon, J. Kempe, G. Burkard, and K.B. Whaley, Nature (London) NATUAS 0028-0836 408, 339 (2000). 10.1038/35042541
15. D. Bacon, J. Kempe, D.A. Lidar, and K.B. Whaley, Phys. Rev. Lett. 85, 1758 (2000). PRLTAO 0031-9007 10.1103/PhysRevLett.85.1758
16. L.-A. Wu and D.A. Lidar, Phys. Rev. A 65, 042318 (2002). PLRAAN 1050-2947 10.1103/PhysRevA.65.042318
17. P. Zanardi and S. Lloyd, Phys. Rev. A 69, 022313 (2004). PLRAAN 1050-2947 10.1103/PhysRevA.69.022313
18. J.W. Emsley and J.C. Lindon, NMR Spectroscopy Using Liquid Crystal Solvents (Pergamon, Oxford, 1975).
19. P. Mansfield, J. Phys. C 4, 1444 (1971). JPSOAW 0022-3719 10.1088/0022-3719/4/11/020
20. P. Mansfield, M.J. Orchard, D.C. Stalker, and K.H.B. Richards, Phys. Rev. B PLRBAQ 0556-2805 7, 90 (1973). 10.1103/PhysRevB.7.90
21. W.-K. Rhim, D.D. Elleman, and R.W. Vaughan, J. Chem. Phys. 59, 3740 (1973). JCPSA6 0021-9606 10.1063/1.1680545
22. P. Diehl and C. Khetrapal, NMR Basic Principles and Progress (Springer-Verlag, Berlin, 1969), Vol. 1.
23. C.S. Yannoni, M.H. Sherwood, D.C. Miller, I.L. Chuang, L.M.K. Vandersypen, and M.G. Kubinec, Appl. Phys. Lett. 75, 3563 (1999). APPLAB 0003-6951 10.1063/1.125389
24. M. Marjanska, I.L. Chuang, and M.G. Kubinec, J. Chem. Phys. 112, 5095 (2000). JCPSA6 0021-9606 10.1063/1.481064
25. T.S. Mahesh, N. Sinha, K.V. Ramanathan, and A. Kumar, Phys. Rev. A 65, 022312 (2002). PLRAAN 1050-2947 10.1103/PhysRevA.65.022312
26. J.S. Lee and A.K. Khitrin, J. Chem. Phys. JCPSA6 0021-9606 122, 041101 (2005). 10.1063/1.1850456
27. T.S. Mahesh and D. Suter, Phys. Rev. A 74, 062312 (2006). PLRAAN 1050-2947 10.1103/PhysRevA.74.062312
28. P. Cappellaro, J.S. Hodges, T.F. Havel, and D.G. Cory, J. Chem. Phys. 125, 044514 (2006). JCPSA6 0021-9606 10.1063/1.2216702
29. D.G. Cory, J.B. Miller, and A.N. Garroway, J. Magn. Reson. JOMRA4 0022-2364 90, 205 (1990). 10.1016/0022-2364(90)90380-R
30. N. Khaneja, T. Reiss, C. Kehlet, T. Schulte-Herbruggen, and S.J. Glaser, J. Magn. Reson. JMARF3 1090-7807 172, 296 (2005). 10.1016/j.jmr.2004.11.004
31. N. Boulant, E.M. Fortunato, M.A. Pravia, G. Teklemariam, D.G. Cory, and T.F. Havel, Phys. Rev. A 65, 024302 (2002). PLRAAN 1050-2947 10.1103/PhysRevA.65.024302
32. L.-A. Wu, M.S. Byrd, and D.A. Lidar, Phys. Rev. Lett. 89, 127901 (2002). PRLTAO 0031-9007 10.1103/PhysRevLett.89.127901
33. L. Tian and S. Lloyd, Phys. Rev. A 62, 050301 (2000). PLRAAN 1050-2947 10.1103/PhysRevA.62.050301
34. See EPAPS Document No. E-PRLTAO-99-005746 for
35. a plot of correlation between simulation and experiment as the simulated Hamiltonian is varied and
36. a plot comparing fidelity of logical qubit control sequences versus spin qubit control sequences. For more information on EPAPS, see http://www.aip.org/ pubservs/epaps.html.