Skip to main content
SpringerLink
Log in

Nonadiabatic Geometric Quantum Computation by Straightway Varying Parameters of Magnetic: A New Design

  • Published:
International Journal of Theoretical Physics Aims and scope Submit manuscript

Abstract

The approach to implement nonadiabatic geometric quantum computation by controlling the magnetic fields is applied to construct single-qubit noncommutable geometric quantum gates. The results show that it is helpful for experimenters to realize the geometric quantum gates by adjusting the external parameters.

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

Access this article

Log in via an institution

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. Zanardi, P., Rasetti, M.: Holonomic quantum computation. Phys. Lett. A 264, 94 (1999)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  2. Jones, J.A., Vedral, V., Ekert, A., Castagnoli, G.: Geometric quantum computation using nuclear magnetic resonance. Nature (London) 403, 869 (2000)

    Article  ADS  Google Scholar 

  3. Duan, L.M., Cirac, J.I., Zoller, P.: Geometric manipulation of trapped ions for quantum computation. Science 292, 1695 (2001)

    Article  ADS  Google Scholar 

  4. Falci, G., Fazio, R., Palma, G.M., Siewert, J., Vedral, V.: Detection of geometrical phases in superconducting nanocircuits. Nature (London) 407, 355 (2000)

    Article  ADS  Google Scholar 

  5. Wang, Z.S., Kwek, L.C., Lai, C.H., Oh, C.H.: Geometric phase and entanglement from massive spin-1 particles. Eur. Phys. J. D 33, 285 (2005)

    Article  ADS  Google Scholar 

  6. Wang, Z.S., Kwek, L.C., Lai, C.H., Oh, C.H.: Geometric phase in open two-level system. Europhys. Lett. 74, 958 (2006)

    Article  ADS  MathSciNet  Google Scholar 

  7. Wang, Z.S., Wu, Ch., Feng, X.-L., Kwek, L.C., Lai, C.H., Oh, C.H.: Effects of a squeezed-vacuum reservoir on geometric phase. Phys. Rev. A 75, 024102 (2007)

    Article  ADS  MathSciNet  Google Scholar 

  8. Wang, Z.S., Kwek, L.C., Lai, C.H., Oh, C.H.: Quantum tunneling via quantum geometric phase. Phys. Lett. A 359, 608 (2006)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  9. Wang, Z.S., Wu, Ch., Feng, X.-L., Kwek, L.C., Lai, C.H., Oh, C.H., Vedral, V.: Geometric phase induced by quantum nonlocality. Phys. Lett. A 372, 775 (2008)

    Article  ADS  Google Scholar 

  10. Pachos, J., Zanardi, P., Rasetti, M.: Non-Abelian Berry connections for quantum computation. Phys. Rev. A 61, 010305 (2000)

    Article  ADS  MathSciNet  Google Scholar 

  11. Wang, Z.S.: Geometric quantum computation and dynamical invariant operators. Phys. Rev. A 79, 024304 (2009)

    Article  ADS  Google Scholar 

  12. Wang, Z.S., Liou, G.Q., Ji, Y.H.: Noncyclic geometric quantum computation in a nuclear-magnetic-resonance system. Phys. Rev. A 79, 054301 (2009)

    Article  ADS  Google Scholar 

  13. Leibfried, D., DeMarco, B., Meyer, V., Lucas, D., Barrett, M., Britton, J., Itano, W.M., Jelenkovic, B., Langer, C., Rosenband, T., Wineland, D.J.: Experimental demonstration of a robust, high-fidelity geometric two ion-qubit phase gate. Nature 422, 412 (2003)

    Article  ADS  Google Scholar 

  14. Zhu, S.L., Wang, Z.D.: Unconventional geometric quantum computation. Phys. Rev. Lett. 91, 187902 (2003)

    Article  ADS  Google Scholar 

  15. Zheng, S.B.: Unconventional geometric quantum phase gates with a cavity QED system. Phys. Rev. A 70, 052320 (2004)

    Article  ADS  Google Scholar 

  16. Chen, C.Y., Feng, M., Zhang, X.L., Gao, K.L.: Strong-driving-assisted unconventional geometric logic gate in cavity QED. Phys. Rev. A 73, 032344 (2006)

    Article  ADS  Google Scholar 

  17. Wang, Z.S., Wu, Ch., Feng, X.-L., Kwek, L.C., Lai, C.H., Oh, C.H., Vedrel, V.: Nonadiabatic geometric quantum computation. Phys. Rev. A 76, 044303 (2007)

    Article  ADS  MathSciNet  Google Scholar 

  18. Zhu, S.L., Wang, Z.D.: Implementation of universal quantum gates based on nonadiabatic geometric phases. Phys. Rev. Lett. 89, 097902 (2002)

    Article  ADS  Google Scholar 

  19. Zhang, X.D., Zhu, S.L., Hu, L., Wang, Z.D.: Nonadiabatic geometric quantum computation using a single-loop scenario. Phys. Rev. A 71, 014302 (2005)

    Article  ADS  Google Scholar 

  20. Du, J.F., Zou, P., Wang, Z.D.: Experimental implementation of high-fidelity unconventional geometric quantum gates using an NMR interferometer. Phys. Rev. A 74, 020302 (2006)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. College of Physics and Communication Electronics, Jiangxi Normal University, Nanchang, 330022, P.R. China

    Y. H. Ji

  2. Key Laboratory of Optoelectronic & Telecommunication of Jiangxi, Nanchang, Jiangxi, 330022, P.R. China

    Y. H. Ji

Authors
  1. Y. H. Ji
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Y. H. Ji.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ji, Y.H. Nonadiabatic Geometric Quantum Computation by Straightway Varying Parameters of Magnetic: A New Design. Int J Theor Phys 48, 2843–2848 (2009). https://doi.org/10.1007/s10773-009-0074-2

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10773-009-0074-2

Keywords

Search

Navigation