Quantum Gates Based on Polarization Transfer NMR Spectroscopy

• Authors: A. Güleç , S. Bahçeli
• Languages of publication: EN

Abstracts

EN

We first introduce an alternative way to study the insensitive nuclei enhanced by polarization and distortionless enhancement by polarization transfer NMR experiments with the product operator descriptions for weakly coupled I (I=1/2, S=1/2) spin systems as a quantum controlled not gate and a not gate, respectively. In this framework we apply the density matrix operators obtained from the analytical descriptions of the mentioned pulse sequences by using product operator formalism step by step on the NMR spin product states represented in Dirac's notation.

Keywords

EN

82.56.Dj; 82.56.Jn

Discipline

• 82.56.Dj: High resolution NMR
• 82.56.Jn: Pulse sequences in NMR

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2005
• Volume: 107
• Issue: 6
• Pages: 983-989

Dates

published

2005-06

received

2005-01-31

(unknown)

2005-03-16

Contributors

author

A. Güleç

• Department of Physics, Faculty of Arts and Sciences, Süleyman Demirel University, Isparta, Turkey

author

S. Bahçeli

• Department of Physics, Faculty of Arts and Sciences, Süleyman Demirel University, Isparta, Turkey

References

• 1. R. Landauer, IBM J. Res. Develop., 5, 183, 1961
• 2. R.P. Feynman, Int. J. Theor. Phys., 21, 467, 1982
• 3. D.G. Cory, A.F. Fahmy, T.F. Havel, Proc. Natl. Acad. Sci., 94, 1634, 1997
• 4. N.A. Grenshenfeld, I.L. Chuang, Science, 275, 350, 1997
• 5. I.L. Chuang, N. Greshenfeld, M. Kubinec, Phys. Rev. Lett., 80, 3408, 1998
• 6. J.A. Jones, Science, 280, 229, 1998
• 7. N. Linden, H. Barjat, E. Kupce, R. Freeman, Chem. Phys. Lett., 307, 198, 1999
• 8. L.K.M. Vandersypen, C.S. Yannoni, I.L. Chuang, in: Encyclopedia of Nuclear Magnetic Resonance, Vol. 9, Advanced in NMR, Eds. D.M. Grant, R.K. Harris, 2002, p. 687
• 9. G.A. Morris, R. Freeman, J. Am. Chem. Soc., 101, 760, 1979
• 10. O.W. Sorensen, R.R. Ernst, J. Magn. Reson., 51, 477, 1983
• 11. R. Ernst, G. Bodenhausen, A. Wokaun, Principles of Nuclear Magnetic Resonance in One and Two Dimensions, Oxford University Press, Oxford 1987
• 12. N. Chandrakumar, Basic Principles, Progress in NMR, Eds. E. Fluck, H. Gunter, Vol. 34, Springer-Verlag, Berlin 1996
• 13. A. Tokatli, M. Sahin, O. Tezel, A. Gencten, S. Bahceli, J. Magn. Reson., 169, 68, 2004
• 14. D.M. Doddrell, D.T. Pegg, M.R. Bendall, J. Magn. Reson., 48, 323, 1982
• 15. H. Bildsoe, S. Donstrupt, H.J. Jacobsen, O.W. Sorensen, J. Magn. Reson., 53, 154, 1983
• 16. N. Chandrakumar, S. Subramian, Modern Techniques in High Resolution FT NMR, Springer, NewYork 1982
• 17. O. Tezel, A. Gencten, A. Tokatli, M. Sahin, S. Bahceli, Acta Phys. Pol. A, 104, 503, 2004
• 18. E. Knill, I.L. Chuang, R. Flamme, Phys. Rev. A, 57, 3348, 1998
• 19. A.K. Khitrin, B.M. Fung, J. Chem. Phys., 112, 6963, 2000
• 20. C.S. Yannoni, M.S. Sherwood, D.C. Miller, I.L. Chuang, L.M.K. Vandersypen, M.G. Kubinec, Appl. Phys. Lett., 75, 3563, 1999

Identifiers

DOI

10.12693/APhysPolA.107.983