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En Route to Solid State Spin Quantum Computing

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Novel NMR and EPR techniques

Part of the book series: Lecture Notes in Physics ((LNP,volume 684))

Abstract

We present routes to quantum information processing in solids. An introduction to electron and nuclear spins as quantum bits (qubits) is given and basic quantum algorithms are discussed. In particular we focus on the preparation of pseudo pure states and pseudo entangled states in solid systems of combined electron and nuclear spins. As an example we demonstrate the Deutsch algorithm of quantum computing in an S-bus system with one electron spin coupled to a many 19F nuclear spins.

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References

  1. R.P. Feynman: Int. J. Theor. Phys. 21, 467 (1982)

    Article  MathSciNet  Google Scholar 

  2. D. Deutsch: Proc. R. Soc. Lond. A 400, 97 (1985)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  3. D. Deutsch: Proc. R. Soc. Lond. A 439, 553 (1992)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  4. C.H. Bennett, F. Besette, G. Brassard, L. Salvail, J. Smolin: J. Cryptology 5, 3 (1992)

    Article  MATH  Google Scholar 

  5. C.H. Bennett, G. Brassard, C. Crépeau, U.M. Maurer: Generalized privacy amplification. In Proceedings of the IEEE Internatinal Conference on Computers, System and Signal Processing (IEEE, New York 1994) p 350

    Google Scholar 

  6. C.H. Bennett, F. Besette, G. Brassard, L. Salvail, J. Smolin: Phys. Rev. Lett. 70, 1895 (1993)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  7. D. Bouwmeester, J.-W. Pan, K. Mattle, M. Eibl, H. Weinfurter, A. Zeilinger: Nature (London) 390, 575 (1997)

    Article  ADS  Google Scholar 

  8. L.K. Grover: Phys. Rev. Lett. 79, 325 (1997)

    Article  ADS  Google Scholar 

  9. I.L. Chuang, N. Gershenfeld, M. Kubinec: Phys. Rev. Lett. 80, 3408 (1998)

    Article  ADS  Google Scholar 

  10. P.W. Shor: SIAM J. Comput. 26, 1484 (1997)

    Article  MATH  MathSciNet  Google Scholar 

  11. L.M.K. Vandersypen, M. Steffen, G. Breyta, C.S. Yannoni, M.H. Sherwood, I.L. Chuang: Nature 414, 883 (2001)

    Article  ADS  Google Scholar 

  12. D.G. Cory, A.F. Fahmy, T.F. Havel: Proc. Natl. Acad. Sci. U.S.A. 94, 1634 (1997)

    Article  ADS  Google Scholar 

  13. D.G. Cory, M.D. Price, Timothy F. Havel: Physica D 120, 82 (1998)

    Article  ADS  Google Scholar 

  14. N.A. Gershenfeld, I.L. Chuang: Science 275, 350 (1997)

    Article  MathSciNet  Google Scholar 

  15. I.L. Chuang, L.M.K. Vandersypen, D.W. Leung Xinlan Zhou, S. Lloyd: Nature 393, 143 (1998)

    Article  ADS  Google Scholar 

  16. J.A. Jones, M. Mosca: J. Chem. Phys. 109, 1648 (1998)

    Article  ADS  Google Scholar 

  17. E. Knill, I. Chuang, R. Laflamme: Phys. Rev. A 57, 3348 (1998)

    Article  MathSciNet  ADS  Google Scholar 

  18. M. Mehring: Appl. Mag. Reson. 17, 141 (1999)

    Article  Google Scholar 

  19. W.S. Warren, N. Gershenfeld, I. Chuang: Science 277, 1688 (1997)

    Article  Google Scholar 

  20. B.E. Kane: Nature 393, 133 (1998)

    Article  ADS  Google Scholar 

  21. A. Einstein, B. Podolski, N. Rosen: Phys. Rev. 47, 777 (1935)

    Article  MATH  ADS  Google Scholar 

  22. M. Mehring, V.A. Weberruß: Object Oriented Magnetic Resonance (Academic Press, London 2001)

    Google Scholar 

  23. 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. Sharf, G. Teklemariam, Y.S. Weinstein, W.H. Zurek: Fortschr. Phys. 48, 875 (2000)

    Article  ADS  Google Scholar 

  24. M. Mehring, J. Mende, W. Scherer: Phys. Rev. Lett. 90, 153001 (2003)

    Article  ADS  Google Scholar 

  25. Z.L. Madi, R. Brüschweiler, R.R. Ernst: J. Chem. Phys. 109, 10603 (1998)

    Article  ADS  Google Scholar 

  26. G. Teklemariam, E.M. Fortunato, M.A. Pravia, Y. Sharf, T.F. Havel, D.G. Cory: Phys. Rev. Lett. 86, 5845 (2001)

    Article  ADS  Google Scholar 

  27. G. Teklemariam, E.M. Fortunato, M.A. Pravia, Y. Sharf, T.F. Havel, D.G. Cory, A. Bhattaharyya, J. Hou: Phys. Rev. A 66, 012309 (2002)

    Article  ADS  Google Scholar 

  28. W. Scherer, M. Mehring: To be published.

    Google Scholar 

  29. T. Almeida Murphy, Th. Pawlik, A. Weidinger, M. Hoehne, R. Alcala, J.M. Spaeth: Phys. Rev. Lett. 77, 1076 (1996)

    Article  ADS  Google Scholar 

  30. W. Harneit: Phys. Rev. A 65, 032322 (2002)

    Article  ADS  Google Scholar 

  31. D. Suter, K. Lim: Phys. Rev. A 65, 052309 (2002)

    Article  ADS  Google Scholar 

  32. J. Twamley: Phys. Rev. A 67, 052318–1, (2003)

    Article  ADS  Google Scholar 

  33. M. Mehring, W. Scherer, A. Weidinger: Phys. Rev. Lett 93, 206603 (2004)

    Article  ADS  Google Scholar 

  34. M. Mehring, P. Höfer, H. Käß: Europhys. Lett. 6, 463 (1988)

    Article  ADS  Google Scholar 

  35. M. Mehring, J. Mende: To be published.

    Google Scholar 

  36. J. Mende, M. Mehring: To be published.

    Google Scholar 

  37. W.B. Mims: Proc. R. Soc. London 283, 452 (1965)

    Article  ADS  Google Scholar 

  38. Arvind, K. Dorai, A. Kumar: Pramana 56, L705 (2001)

    Article  ADS  Google Scholar 

  39. K. Dorai, Arvind, A. Kumar: Phys. Rev. A 61, 042306/1–7 (2000)

    Article  MathSciNet  ADS  Google Scholar 

  40. O. Mangold: Implementierung des deutsch algorithmus mit drei 19F-kernspins. Diploma Thesis, Universität Stuttgart (2003)

    Google Scholar 

  41. O. Mangold, A. Heidebrecht, M. Mehring: Phys. Rev. A 70, 042307 (2004)

    Article  MathSciNet  ADS  Google Scholar 

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Mehring, M., Mende, J., Scherer, W. (2006). En Route to Solid State Spin Quantum Computing. In: Dolinšek, J., Vilfan, M., Žumer, S. (eds) Novel NMR and EPR techniques. Lecture Notes in Physics, vol 684. Springer, Berlin, Heidelberg . https://doi.org/10.1007/3-540-32627-8_4

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