Skip to main content
Log in

Controlled-NOT logic gate for phase qubits based on conditional spectroscopy

  • Published:
Quantum Information Processing Aims and scope Submit manuscript

Abstract

A controlled-NOT logic gate based on conditional spectroscopy has been demonstrated recently for a pair of superconducting flux qubits [Plantenberg et al. in Nature 447:836, 2007]. Here we study the fidelity of this type of gate applied to a phase qubit coupled to a resonator (or a pair of capacitively coupled phase qubits). Our results show that an intrinsic fidelity of more than 99% is achievable in 45 ns.

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.

Similar content being viewed by others

References

  1. Nielsen M.A., Chuang I.L.: Quantum Computation and Quantum Information. Cambridge University Press, Cambridge (2005)

    MATH  Google Scholar 

  2. DiVincenzo D.P.: The physical implementation of quantum computation. Fortschr. Phys. 48, 771 (2000)

    Article  MATH  Google Scholar 

  3. You, J.Q., Nori, F.: Superconducting circuits and quantum information. Phys. Today 58(42), p. 42 (2005)

    Article  Google Scholar 

  4. Strauch F.W., Johnson P.R., Dragt A.J., Lobb C.J., Anderson J.R., Wellstood F.C.: Quantum logic gates for coupled superconducting phase qubits. Phys. Rev. Lett. 91, 167005 (2003)

    Article  ADS  Google Scholar 

  5. Zhang J., Vala J., Sastry S., Whaley K.B.: Geometric theory of nonlocal two-qubit operations. Phys. Rev. A 67, 042313 (2003)

    Article  MathSciNet  ADS  Google Scholar 

  6. Galiautdinov A.: Generation of high-fidelity controlled-NOT logic gates by coupled superconducting qubits. Phys. Rev. A 75, 052303 (2007)

    Article  ADS  Google Scholar 

  7. Galiautdinov A.: Single-step controlled-NOT logic from any exchange interaction. J. Math. Phys. 48, 112105 (2007)

    Article  MathSciNet  MATH  ADS  Google Scholar 

  8. Galiautdinov A.: Controlled-NOT logic with nonresonant Josephson phase qubits. Phys. Rev. A 79, 042316 (2009)

    Article  MathSciNet  ADS  Google Scholar 

  9. Geller M.R., Pritchett E.J., Galiautdinov A., Martinis J.M.: Quantum logic with weakly coupled qubits. Phys. Rev. A 81, 012320 (2010)

    Article  ADS  Google Scholar 

  10. Geller, M.R., Pritchett, E.J., Sornborger, A.T., Wilhelm, F.K.: Quantum computing with superconductors I: architectures. In: Flatte, M.E., Tifrea, I. (eds.) Manipulating Quantum Coherence in Solid State Systems, vol. 244, 171–194. Springer, Netherlands (2007). http://www.springerlink.com/content/p78wq84916367107/

  11. Plantenberg J.H., de Groot P.C., Harmans C.J.P.M., Mooij J.E.: Demonstration of controlled-not quantum gates on a pair of superconducting quantum bits. Nature 447, 836 (2007)

    Article  ADS  Google Scholar 

  12. Cory, D.G., Price, M.D., Havel, T.F.: Nuclear magnetic resonance spectroscopy: an experimentally accessible paradigm for quantum computing. Physica D: Nonlinear phenomena. In: Proceedings of the Fourth Workshop on Physics and Consumption, vol. 120, pp. 82–101 (1998)

  13. Martinis, J. M.: private communication

  14. Motzoi F., Gambetta J.M., Rebentrost P., Wilhelm F.K.: Simple pulses for elimination of leakage in weakly nonlinear qubits. Phys. Rev. Lett. 103, 110501 (2009)

    Article  ADS  Google Scholar 

  15. Pedersen L.H., Møller N.M., Mølmer K.: The distribution of quantum fidelities. Phys. Lett. A 372, 7028 (2008)

    Article  MathSciNet  MATH  ADS  Google Scholar 

  16. Ghosh J., Geller M.R.: Controlled-not gate with weakly coupled qubits: dependence of fidelity on the form of interaction. Phys. Rev. A 81, 052340 (2010)

    Article  ADS  Google Scholar 

  17. Pinto R.A., Korotkov A.N., Geller M.R., Shumeiko V.S., Martinis J.M.: Analysis of a tunable coupler for superconducting phase qubits. Phys. Rev. B 82, 104522 (2010)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Joydip Ghosh.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ghosh, J., Geller, M.R. Controlled-NOT logic gate for phase qubits based on conditional spectroscopy. Quantum Inf Process 11, 1349–1357 (2012). https://doi.org/10.1007/s11128-011-0274-6

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11128-011-0274-6

Keywords

Navigation