Skip to main content
Log in

Simulation of NMR spectra of 31P in the spinless 28Si matrix and problems of the design of a solid-state quantum computer

  • Published:
Bulletin of the Lebedev Physics Institute Aims and scope Submit manuscript

Abstract

The problem of numerical simulation of NRM spectra of the donor impurity in silicon is solved in the context of the fact that the system of nuclear spins of 31 P is planned to be used to organize working registers of a solid-state quantum computer. The proposed simulation method is shown to be applicable in the case of a quantitative increase of the NMR register and its topological complication. A scheme of readout of the results of “quantum counting” at a level allowing determination (with the help of SQUID) of the state of an individual spin is proposed.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. D. Deutsch, Proc. R. Soc. Lond. A 400(1818), 97 (1985).

    Article  MATH  ADS  MathSciNet  Google Scholar 

  2. B. E. Kane, Nature 393, 133 (1998).

    Article  ADS  Google Scholar 

  3. K. A. Valiev and A. A. Kokin, Quantum Computers: Hopes and Reality (Regular and Chaotic Dynamics, Izhevsk-Moscow, 2001) [in Russian].

    Google Scholar 

  4. S. N. Dobryakov, in Bioaktive Spin Labels, Ed. by R.I. Zhdanov (Springer Verlag, Berlin-Heidelberg, 1992), p. 215.

    Google Scholar 

  5. A. Bencini and D. Gatteschi, in Exchange Coupled System (Springer Verlag, Berlin-Heidelberg, 1990), p. 21.

    Google Scholar 

  6. S. N. Dobryakov and A. K. Mamatkulova, Zh. Fiz. Khim. 69(3), 476 (1995).

    Google Scholar 

  7. S. N. Dobryakov, A. K. Mamatkulova, and N. N. Barabanova, Khim. Fiz. 16(5), 76 (1997).

    Google Scholar 

  8. E. Stin, Quantum Calculations (Scientific Research Center “Regular and Chaotic Dynamics”, Izhevsk, 2000) [in Russian].

    Google Scholar 

  9. P. W. Shor, SIAM Journal of Computing, 26, 1484 (1997); LANL e-print quant-ph/9508027, http:/xxx.lanl.gov

    Article  MATH  MathSciNet  Google Scholar 

  10. O. V. Lounasmaa, Experimental Principles and Methods Below 1K (Academic Press, London and New York, 1974).

    Google Scholar 

  11. A. I. Golovashkin, L. N. Zherikhina, V. M. Mishachev, et al., Zh. Prikl. Fiz., No. 6, 27 (2003).

  12. A. N. Kolmogorov, I. G. Zhurbenko, and A. V. Prokhorov, Introduction to the Theory of Probabilities (Nauka, Moscow, 1982) [in Russian].

    Google Scholar 

  13. J. Clarke, Physics Today, 39(3), 36 (1986).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Original Russian Text © A.I. Golovashkin, S.N. Dobryakov, V.V. Privezentsev, A.M. Tskhovrebov, 2007, published in Kratkie Soobshcheniya po Fizike, 2007, Vol. 34, No. 1, pp. 3–12.

About this article

Cite this article

Golovashkin, A.I., Dobryakov, S.N., Privezentsev, V.V. et al. Simulation of NMR spectra of 31P in the spinless 28Si matrix and problems of the design of a solid-state quantum computer. Bull. Lebedev Phys. Inst. 34, 1–6 (2007). https://doi.org/10.3103/S1068335607010010

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.3103/S1068335607010010

Keywords

Navigation