Experimental realization of a continuous version of the Grover algorithm

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 66, Issue 4, 2002, Pages 423101-423106

  Ermakov, Vladimir L ^a,b   Fung, B M ^a  

^a UNIVERSITY OF OKLAHOMA   (United States)

^b ZAVOISKY PHYSICAL TECHNICAL INSTITUTE   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; HAMILTONIANS; LIQUID CRYSTALS; NUCLEAR MAGNETIC RESONANCE;

QUADRUPOLAR COUPLING;

QUANTUM THEORY;

EID: 0036818148     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (25)

1. R. Feynman, Int. J. Theor. Phys. 21, 467 (1982).
2. P.W. Shor, in Proceedings of the 35th Annual Symposium on the Foundations of Computer Science, Santa Fe, 1994, edited by S. Goldwasser (IEEE Computer Science Society Press, Los Alamitos, 1994), p. 124.
3. R. Feynman, Found. Phys. 16, 507 (1986).
4. L.K. Grover, Phys. Rev. Lett. 78, 325 (1997).
5. E. Farhi and S. Gutmann, Phys. Rev. A 57, 2403 (1998).
6. S.A. Fenner, e-print quant-ph/0004091.
7. M.A. Nielsen and I.L. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, Cambridge, England, 2000).
8. D.G. Cory, R. Laflamme, E. Knill, L. Viola, T.F. Havel, N. Boulant, G. Boutis, E. Fortunato, S. Lloyd, R. Martinez, C. Negrevergne, M. Pravia, Y. Shaft, G. Teklemariam, Y.S. Weinstein, and W.H. Zurek, Fortschr. Phys. 48, 875 (2000).
9. J.A. Jones, Prog. Nucl. Magn. Reson. Spectrosc. 38, 325 (2001).
10. L.M.K. Vandersypen, C.S. Yannoni, and I.L. Chuang, in Encyclopedia of Nuclear Magnetic Resonance, Supplement, edited by D.M. Grant and R.K. Harris (Wiley, Chichester, 2002), p. 687.
11. L.M.K. Vandersypen, M. Steffen, G. Breyta, C.S. Yannony, M.H. Sherwood, and I.L. Chuang, Nature (London) 414, 883 (2001).
12. D.G. Cory, A.E Fahmy, and T.F. Havel, Proc. Natl. Acad. Sci. U.S.A. 94, 1634 (1997).
13. N. Gershenfeld and I.L. Chuang, Science 275, 350 (1997).
14. A.R. Kessel and V.L. Ermakov, Pis'ma Zh. Eksp. Teor. Fiz. 70, 59 (1999) [JETP Lett. 70, 61 (1999)]; Zh. Eksp. Teor. Fiz. 117, 517 (2000) [JETP 90, 452 (2000)].
15. A.R. Kessel and V.L. Ermakov, Pis'ma Zh. Eksp. Teor. Fiz. 70, 59 (1999) [JETP Lett. 70, 61 (1999)]; Zh. Eksp. Teor. Fiz. 117, 517 (2000) [JETP 90, 452 (2000)].
16. A.K. Khitrin and B.M. Fung, J. Chem. Phys. 112, 6963 (2000).
17. N. Sinha, T.S. Mahesh, K.V. Ramanathan, and A. Kumar, J. Chem. Phys. 114, 4415 (2001).
18. A.R. Kessel and V.L. Ermakov, Pis'ma Zh. Eksp. Teor. Fiz. 71, 443 (2000) [JETP Lett. 70, 307 (2000)].
19. A. Khitrin, H. Sun, and B.M. Fung, Phys. Rev. A 63, 020301 (2001).
20. A.K. Khitrin and B.M. Fung, Phys. Rev. A 64, 032306 (2001).
21. A. Abragam, Principles of Nuclear Magnetism (Clarendon Press, Oxford, 1961).
22. R.R. Ernst, G. Bodenhausen, and A. Wokaun, Principles of Nuclear Magnetic Resonance in One and Two Dimensions (Oxford University Press, Oxford, 1987).
23. S. Vega, J. Chem. Phys. 68, 5518 (1978).
24. S. Vega and A. Pines, J. Chem. Phys. 66, 5624 (1977).
25. A. Wokaun and R. Ernst, J. Chem. Phys. 67, 1752 (1977).