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Life after charge noise: recent results with transmon qubits

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Abstract

We review the main theoretical and experimental results for the transmon, a superconducting charge qubit derived from the Cooper pair box. The increased ratio of the Josephson to charging energy results in an exponential suppression of the transmon’s sensitivity to 1/f charge noise. This has been observed experimentally and yields homogeneous broadening, negligible pure dephasing, and long coherence times of up to 3 μs. Anharmonicity of the energy spectrum is required for qubit operation, and has been proven to be sufficient in transmon devices. Transmons have been implemented in a wide array of experiments, demonstrating consistent and reproducible results in very good agreement with theory.

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References

  1. Deutsch D.: Quantum computation. Phys. World 5, 57 (1992)

    Google Scholar 

  2. Deutsch D.: Quantum theory, the Church-Turing principle and the universal quantum computer. Proc. R. Soc. A (London) 400, 97 (1985)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  3. Muthukrishnan A., Stroud C.R.: Multivalued logic gates for quantum computation. Phys. Rev. A 62, 052309 (2000)

    Article  ADS  MathSciNet  Google Scholar 

  4. Makhlin Y., Schön G., Shnirman A.: Quantum state engineering with Josephson-junction devices. Rev. Mod. Phys. 73, 357 (2001)

    Article  ADS  Google Scholar 

  5. Devoret, M.H., Wallraff, A., Martinis, J.M.: Superconducting Qubits: A Short Review. cond-mat/0411174 (2004); Devoret, M.H., Martinis, J.M.: Implementing qubits with superconducting integrated circuits. Quantum Inf. Proc. 3, 163 (2004)

  6. Clarke J., Wilhelm F.K.: Superconducting quantum bits. Nature 453, 1031 (2008)

    Article  ADS  Google Scholar 

  7. Koch J., Yu T.M., Gambetta J., Houck A.A., Schuster D.I., Majer J., Devoret M.H., Girvin S.M., Schoelkopf R.J.: Charge-insensitive qubit design derived from the Cooper pair box. Phys. Rev. A 76, 042319 (2007)

    Article  ADS  Google Scholar 

  8. Bouchiat V., Vion D., Joyez P., Esteve D., Devoret M.H.: Quantum coherence with a single Cooper pair. Phys. Scripta T76, 165 (1998)

    Article  Google Scholar 

  9. Nakamura Y., Pashkin Y.A., Tsai J.S.: Coherent control of macroscopic quantum states in a single-Cooper-pair box. Nature (London) 398, 786 (1999)

    Article  ADS  Google Scholar 

  10. Schuster D.I., Houck A.A., Schreier J.A., Wallraff A., Gambetta J.M., Blais A., Frunzio L., Johnson B., Devoret M.H., Girvin S.M., Schoelkopf R.J.: Resolving photon number states in a superconducting circuit. Nature 445, 515 (2007)

    Article  ADS  Google Scholar 

  11. Majer J., Chow J.M., Gambetta J.M., Koch J., Johnson B.R., Schreier J.A., Frunzio L., Schuster D.I., Houck A.A., Wallraff A., Blais A., Devoret M.H., Girvin S.M., Schoelkopf J.R.: Coupling superconducting qubits via a cavity bus. Nature (London) 449, 443 (2007)

    Article  ADS  Google Scholar 

  12. Schreier J.A., Houck A.A., Koch J., Schuster D.I., Johnson B.R., Chow J.M., Gambetta J.M., Majer J., Frunzio L., Devoret M.H., Girvin S.M., Schoelkopf R.J.: Suppressing charge noise decoherence in superconducting charge qubits. Phys. Rev. B 77, 180502(R) (2008)

    Article  ADS  Google Scholar 

  13. Houck A.A., Schreier J.A., Johnson B.R., Chow J.M., Koch J., Gambetta J.M., Schuster D.I., Frunzio L., Devoret M.H., Girvin S.M., Schoelkopf R.J.: Controlling the spontaneous emission of a superconducting transmon qubit. Phys. Rev. Lett. 101, 080502 (2008)

    Article  ADS  Google Scholar 

  14. Fink J.M., Goppl M., Baur M., Bianchetti R., Leek P.J., Blais A., Wallraff A.: Climbing the Jaynes-Cummings ladder and observing its [sqrtn] nonlinearity in a cavity QED system. Nature 454, 315 (2008)

    Article  ADS  Google Scholar 

  15. Bishop L.S., Chow J.M., Koch J., Houck A.A., Devoret M.H., Thuneberg E., Girvin S.M., Schoelkopf R.J.: Nonlinear response of the vacuum Rabi resonance. Nature Phys. 5, 105 (2009)

    Article  Google Scholar 

  16. Chow, J.M., Gambetta, J.M., Tornberg, L., Koch, J., Bishop, L.S., Houck, A.A., Johnson, B.R., Frunzio, L., Girvin, S.M., Schoelkopf, R.J.: Randomized benchmarking and process tomography for gate errors in a solid-state qubit. arXiv:0811.4387. Phys. Rev. Lett. (2008, accepted)

  17. Schneiderman, J.F., Shaw, M.D., Palmer, B., Delsing, P., Echternach, P.M.: Quasiparticle Poisoning and Quantum Coherence in a Differential Charge Qubit. arXiv:0705.0695 (2007)

  18. Ambegaokar V., Baratoff A.: Tunneling between superconductors. Phys. Rev. Lett. 10, 486 (1963)

    Article  ADS  Google Scholar 

  19. You J.Q., Hu X., Ashab S., Nori F.: Low-decoherence flux qubit. Phys. Rev. B 75, 140515 (2007)

    Article  ADS  Google Scholar 

  20. Steffen M., Ansmann M., McDermott R., Katz N., Bialczak R.C., Lucero E., Neeley M., Weig E.M., Cleland A.N., Martinis J.M.: State tomography of capacitively shunted phase qubits with high fidelity. Phys. Rev. Lett. 97, 050502 (2006)

    Article  ADS  Google Scholar 

  21. Vion D., Aassime A., Cottet A., Joyez P., Pothier H., Urbina C., Esteve D., Devoret M.H.: Manipulating the quantum state of an electrical circuit. Science 296, 886 (2002)

    Article  ADS  Google Scholar 

  22. Metcalfe M., Boaknin E., Manucharyan V., Vijay R., Siddiqi I., Rigetti C., Frunzio L., Schoelkopf R.J., Devoret M.H.: Measuring the decoherence of a quantronium qubit with the cavity bifurcation amplifier. Phys. Rev. B 76, 174516 (2007)

    Article  ADS  Google Scholar 

  23. Zorin A.B., Ahlers F.-J., Niemeyer J., Weimann T., Wolf H.: Background charge noise in metallic single-electron tunneling devices. Phys. Rev. B 53, 13682 (1996)

    Article  ADS  Google Scholar 

  24. Duty T., Johannson G., Bladh K., Gunnarsson D., Wilson C., Delsing P.: Observation of quantum capacitance in the Cooper-pair transistor. Phys. Rev. Lett. 95, 206807 (2005)

    Article  ADS  Google Scholar 

  25. Blais A., Huang R.-S., Wallraff A., Girvin M.S., Schoelkopf J.R.: Cavity quantum electrodynamics for superconducting electrical circuits: an architecture for quantum computation. Phys. Rev. A 69, 062320 (2004)

    Article  ADS  Google Scholar 

  26. Aumentado J., Keller M.W., Martinis J.M., Devoret M.H.: Nonequilibrium quasiparticles and 2e periodicity in single-Cooper-pair transistors. Phys. Rev. Lett. 92, 066802 (2004)

    Article  ADS  Google Scholar 

  27. Lutchyn R.M., Glazman L.I., Larkin A.I.: Kinetics of the superconducting charge qubit in the presence of a quasiparticle. Phys. Rev. B 74, 064515 (2006)

    Article  ADS  Google Scholar 

  28. Chow, J.M.: private communication (2008)

  29. Purcell E.M.: Spontaneous emission probabilities at radio frequencies. Phys. Rev. 69, 681 (1946)

    Article  Google Scholar 

  30. Wellstood F.C., Urbina C., Clarke J.: Low-frequency noise in dc superconducting quantum interference devices below 1 K. Appl. Phys. Lett. 50, 772 (1987)

    Article  ADS  Google Scholar 

  31. Yoshihara F., Harrabi K., Niskanen A.O., Nakamura Y., Tsai J.S.: Decoherence of flux qubits due to 1/f flux noise. Phys. Rev. Lett. 97, 167001 (2006)

    Article  ADS  Google Scholar 

  32. Van Harlingen D.J., Robertson T.L., Plourde B.L.T., Reichardt P.A., Crane T.A., Clarke J.: Decoherence in Josephson-junction qubits due to critical-current fluctuations. Phys. Rev. B 70, 064517 (2004)

    Article  ADS  Google Scholar 

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Correspondence to Jens Koch.

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Houck, A.A., Koch, J., Devoret, M.H. et al. Life after charge noise: recent results with transmon qubits. Quantum Inf Process 8, 105–115 (2009). https://doi.org/10.1007/s11128-009-0100-6

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  • DOI: https://doi.org/10.1007/s11128-009-0100-6

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