Numerical analysis of boosting scheme for scalable NMR quantum computation

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 71, Issue 2, 2005, Pages

  Saitoh, Akira ^a   Kitagawa, Masahiro ^a  

^a OSAKA UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

ENTROPY; NUCLEAR MAGNETIC RESONANCE; NUMERICAL ANALYSIS; THERMAL EFFECTS;

QUANTUM CIRCUITS; QUANTUM COMPUTATION; QUBITS;

QUANTUM THEORY;

EID: 33344466760     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.71.022303     Document Type: Article

References (41)

1. I. L. Chuang, N. Gershenfeld, and M. Kubinec, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.80.3408 80, 3408 (1998).
2. D. G. Cory, W. Mass, M. Price, E. Knill, R. Laflamme, W. H. Zurek, T. F. Havel, and S. S. Somaroo, e-print quant-ph/9802018.
3. I. L. Chuang, L. M. K. Vandersypen, X. Zhou, D. W. Leung, and S. Lloyd, Nature (London) NATUAS 0028-0836 10.1038/30181 393, 143 (1998).
4. D. G. Cory, A. F. Fahmy, and T. F. Havel, Proc. Natl. Acad. Sci. U.S.A. PNASA6 0027-8424 10.1073/pnas.94.5.1634 94, 1634 (1997).
5. N. Gershenfeld and I. L. Chuang, Science SCIEAS 0036-8075 10.1126/science.275.5298.350 275, 350 (1997).
6. D. Deutsch, Proc. R. Soc. London, Ser. A PRLAAZ 1364-5021 425, 73 (1989).
7. B. Schumacher, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.51.2738 51, 2738 (1995).
8. E. Knill, I. Chuang, and R. Laflamme, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.57.3348 57, 3348 (1998).
9. L. J. Schulman and U. V. Vazirani, in Proceedings of the 31st ACM Symposium on Theory of Computing (STOC'99) (ACM Press, New York, 1999), pp. 322-329, online reprint http://www.cs.caltech.edu/~schulman/ and http://www.cs.berkeley.edu/~vazirani/.
10. L. J. Schulman and U. V. Vazirani, e-print quant-ph/9804060.
11. J. H. Reif, online preprint http://www.cs.duke.edu/reif/paper/qcompress. ps, 1999 (unpublished).
12. E. Knill and R. Laflamme, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.81.5672 81, 5672 (1998).
13. S. Parker and M. B. Plenio, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.85.3049 85, 3049 (2000).
14. P. W. Shor, SIAM J. Comput. SMJCAT 0097-5397 26, 1484 (1997).
15. D. E. Chang, L. M. K. Vandersypen, and M. Steffen, Chem. Phys. Lett. CHPLBC 0009-2614 10.1016/S0009-2614(01)00280-9 338, 337 (2001).
16. O. W. Sørensen, J. Magn. Reson. (1969-1992) JOMRA4 0022-2364 86, 435 (1990).
17. O. W. Sørensen, J. Magn. Reson. (1969-1992) JOMRA4 0022-2364 93, 648 (1991).
18. R. R. Ernst, G. Bodenhausen, and A. Wokaun, Principles of Nuclear Magnetic Resonance in One and Two Dimensions (Clarendon Press, Oxford, 1987), Chap..
19. J. von Neumann, Gött. Nachr 273 (1927).
20. P. O. Boykin, T. Mor, V. Roychowdhury, F. Vatan, and R. Vrijen, e-print quant-ph/0106093.
21. H. Umegaki, Kodai Math. Semin. Rep. KMSRAV 0023-2599 14, 59 (1962).
22. L. Henderson and V. Vedral, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/34/35/315 34, 6899 (2001).
23. R. W. Hamming, Coding and Information Theory (Prentice-Hall, Englewood Cliffs, NJ, 1980), Chaps..
24. A. S. Holevo, e-print quant-ph/9708046.
25. R. Jozsa, M. Horodecki, P. Horodecki, and R. Horodecki, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.81.1714 81, 1714 (1998).
26. M. Horodecki, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.61.052309 61, 052309 (2000).
27. G. Kramer and S. A. Savari, e-print quant-ph/0101119.
28. M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, Cambridge, England, 2000), Chap., pp. 528-607.
29. M. Horodecki, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.57.3364 57, 3364 (1998).
30. M. Kitagawa, A. Kataoka, and T. Nishimura, in Proceedings of the 6th Internatonal Conference on Quantum Communication, Measurement and Computing (QCMC'02), edited by J. H. Shapiro and O. Hirota (Rinton Press, Princeton, 2003), pp. 275-280.
31. T. M. Cover, IEEE Trans. Inf. Theory IETTAW 0018-9448 10.1109/TIT.1973.1054929 19, 73 (1973).
32. R. Cleve and D. P. DiVincenzo, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.54.2636 54, 2636 (1996).
33. S. L. Braunstein, C. A. Fuchs, D. Gottesman, and H.-K. Lo, IEEE Trans. Inf. Theory IETTAW 0018-9448 10.1109/18.850709 46, 1644 (2000).
34. I. L. Chuang and D. S. Modha, IEEE Trans. Inf. Theory IETTAW 0018-9448 10.1109/18.841192 46, 1104 (2000).
35. J. Langford, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.65.052312 65, 052312 (2002).
36. M. Iinuma, Y. Takahashi, I. Shaké, M. Oda, A. Masaike, T. Yabuzaki, and H. M. Shimizu, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.84.171 84, 171 (2000).
37. K. Takeda, K. Takegoshi, and T. Terao, J. Phys. Soc. Jpn. JUPSAU 0031-9015 73, 2313 (2004);
38. K. Takeda, K. Takegoshi, and T. Terao, Chem. Phys. Lett. CHPLBC 0009-2614 10.1016/S0009-2614(01)00840-5 345, 166 (2001).
39. M. S. Anwar, D. Blazina, H. A. Carteret, S. B. Duckett, T. K. Halstead, J. A. Jones, C. M. Kozak, and R. J. K. Taylor, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.040501 93, 040501 (2004).
40. M. S. Anwar, J. A. Jones, D. Blazina, S. B. Duckett, and H. A. Carteret, e-print quant-ph/0406044.
41. S. A. Smith, T. O. Levante, B. H. Meier, and R. R. Ernst, J. Magn. Reson., Ser. A JMRAE2 1064-1858 106, 75 (1994).