Characterization of quantum algorithms by quantum process tomography using quadrupolar spins in solid-state nuclear magnetic resonance

Journal of Chemical Physics

Volumn 122, Issue 21, 2005, Pages

  Kampermann, H ^a   Veeman, W S ^a  

^a UNIVERSITY OF DUISBURG ESSEN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

QUADRUPOLAR SPINS; QUANTUM ALGORITHMS; QUANTUM GATES; QUANTUM PROCESS TOMOGRAPHY;

ALGORITHMS; DATA PROCESSING; HAMILTONIANS; LIQUID CRYSTALS; MATRIX ALGEBRA; NUCLEAR MAGNETIC RESONANCE; SODIUM COMPOUNDS; TOMOGRAPHY;

QUANTUM THEORY;

EID: 21244480119     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1904595     Document Type: Article

References (40)

1. D. Cory, A. Fahmy, and T. Havel, Proc. Natl. Acad. Sci. U.S.A. 94, 1634 (1997).
2. N. Gershenfeld and I. Chuang, Science 275, 350 (1997).
3. D. Cory, M. Price, and T. Havel, Physica D 120, 82 (1998).
4. I. Chuang, N. Gershenfeld, M. Kubinec, and D. Leung, Proc. R. Soc. London, Ser. A 454, 447 (1998).
5. I. Chuang and N. Gershenfeld, Science 275, 350 (1997).
6. S. Somaroo, C. Tseng, T. Havel, R. Laflamme, and D. Cory, Phys. Rev. Lett. 82, 5381 (1999).
7. M. Price, E. Fortunato, M. Pravia, C. Breen, S. Kumaresean, G. Rosenberg, and D. Cory, Concepts Magn. Reson. 13, 151 (2001).
8. G. Teklemariam, E. Fortunato, C. Lopez, J. Emerson, J. Paz, T. Havel, and D. Cory, Phys. Rev. A 67, 062316 (2003).
9. D. Cory, M. Price, E. Knill, R. Laflamme, W. Zurek, T. Havel, and S. Somaroo, Phys. Rev. Lett. 81, 2152 (1998).
10. E. Knill, R. Laflamme, R. Martinez, and C. Tseng, Phys. Rev. Lett. 86, 5811 (2001).
11. D. Cory, R. Laflamme, E. Knill, Fortschr. Phys. 48, 875 (2000).
12. G. Leskowitz, N. Ghaderi, R. Olsen, and L. Mueller, J. Chem. Phys. 119, 1643 (2003).
13. A. Kessel and V. Ermakov, Proc. SPIE 4061, 68 (2000).
14. A. Kessel and V. Ermakov, JETP Lett. 71, 307 (2000).
15. Figure of merit is an established expression for the rating of the efficiency of a quantum processor. It is related to the ratio of the coupling strength between the qubits and the decoherence strength.
16. H. Kampermann and W. Veeman, Quantum Inf. Process. 1, 327 (2002).
17. A. Khitrin, H. Sun, and B. Fung, Phys. Rev. A 63, 020301 (2001).
18. A. Khitrin and B. Fung, J. Chem. Phys. 112, 6963 (2000).
19. N. Sinha, T. Mahesh, K. Ramanathan, and A. Kumar, J. Chem. Phys. 114, 4415 (2001).
20. T. Mahesh, S. Neeraj, M. Levitt, K. Ramanathan, and A. Kumar, Curr. Sci. 85, 932 (2003).
21. K. Murali, N. Sinha, T. Mahesh, M. Levitt, K. Ramanathan, and A. Kumar, Phys. Rev. A 66, 022313 (2002).
22. A. Kumar, K. Ramanathan, T. Mahesh, N. Sinha, and K. Murali, Pramana, J. Phys. 59, 243 (2002).
23. R. Das and A. Kumar, Phys. Rev. A 68, 032304 (2003).
24. E. Fortunato, M. Pravia, N. Boulant, G. Teklemariam, T. Havel, and D. Cory, J. Chem. Phys. 116, 7599 (2002).
25. A. Childs, I. Chuang, and D. Leung, Phys. Rev. A 64, 012314 (2001).
26. D. Leung, J. Math. Phys. 44, 528 (2003).
27. D. Leung, Ph.D. thesis, Stanford University, 2000.
28. R. R. Ernst, G. Bodenhausen, and A. Wokaun, Principles of Nuclear Magnetic Resonance in One and Two Dimensions (Oxford Science, Oxford, 1987).
29. J. Palao and R. Kosloff, Phys. Rev. Lett. 89, 188301 (2002).
30. J. Nelder and R. Mead, Comput. J. 7, 308 (1965).
31. J. Poyatos, J. Cirac, and P. Zoller, Phys. Rev. Lett. 78, 390 (1997).
32. V. Buzek, Phys. Rev. A 58, 1723 (1998).
33. J. Altepeter, D. Branning, E. Jeffrey, Phys. Rev. Lett. 90, 193601 (2003).
34. N. Boulant, T. Havel, M. Pravia, and D. Cory, Phys. Rev. A 67, 042322 (2003).
35. Y. Weinstein, T. Havel, J. Emerson, N. Boulant, M. Saracenos, and D. Cory, J. Chem. Phys. 121, 6117 (2004).
36. G. Long, H. Yan, and Y. Sun, J. Opt. B: Quantum Semiclassical Opt. 3, 376 (2001).
37. H. Kampermann, Ph.D. thesis, University Duisburg-Essen, 2004; http://www.hkampermann.de
38. T. Havel, J. Math. Phys. 44, 534 (2003).
39. M. Nielsen and I. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, Cambridge, 2000).
40. B. Sanctuary, J. Chem. Phys. 64, 4352 (1976).