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Correlated charge noise and relaxation errors in superconducting qubits

Abstract

The central challenge in building a quantum computer is error correction. Unlike classical bits, which are susceptible to only one type of error, quantum bits (qubits) are susceptible to two types of error, corresponding to flips of the qubit state about the X and Z directions. Although the Heisenberg uncertainty principle precludes simultaneous monitoring of X- and Z-flips on a single qubit, it is possible to encode quantum information in large arrays of entangled qubits that enable accurate monitoring of all errors in the system, provided that the error rate is low1. Another crucial requirement is that errors cannot be correlated. Here we characterize a superconducting multiqubit circuit and find that charge noise in the chip is highly correlated on a length scale over 600 micrometres; moreover, discrete charge jumps are accompanied by a strong transient reduction of qubit energy relaxation time across the millimetre-scale chip. The resulting correlated errors are explained in terms of the charging event and phonon-mediated quasiparticle generation associated with absorption of γ-rays and cosmic-ray muons in the qubit substrate. Robust quantum error correction will require the development of mitigation strategies to protect multiqubit arrays from correlated errors due to particle impacts.

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Fig. 1: Chip layout and charge response.
Fig. 2: Characterization of correlated charge fluctuations.
Fig. 3: Modelling of muon and γ-ray impacts.
Fig. 4: Characterization of correlated relaxation errors.

Data availability

The data shown in this paper are available upon request.

References

  1. 1.

    Fowler, A. G., Mariantoni, M., Martinis, J. M. & Cleland, A. N. Surface codes: towards practical large-scale quantum computation. Phys. Rev. A 86, 032324 (2012).

    ADS  Article  Google Scholar 

  2. 2.

    Barends, R. et al. Superconducting quantum circuits at the surface code threshold for fault tolerance. Nature 508, 500–503 (2014).

    ADS  CAS  Article  Google Scholar 

  3. 3.

    Sheldon, S. et al. Characterizing errors on qubit operations via iterative randomized benchmarking. Phys. Rev. A 93, 012301 (2016).

    ADS  Article  Google Scholar 

  4. 4.

    Jeffrey, E. et al. Fast accurate state measurement with superconducting qubits. Phys. Rev. Lett. 112, 190504 (2014).

    ADS  Article  Google Scholar 

  5. 5.

    Walter, T. et al. Rapid high-fidelity single-shot dispersive readout of superconducting qubits. Phys. Rev. Appl. 7, 054020 (2017).

    ADS  Article  Google Scholar 

  6. 6.

    Opremcak, A. et al. High-fidelity measurement of a superconducting qubit using an on-chip microwave photon counter. Phys. Rev. X 11, 011027 (2021).

    CAS  Google Scholar 

  7. 7.

    Christensen, B. G. et al. Anomalous charge noise in superconducting qubits. Phys. Rev. B 100, 140503 (2019).

    ADS  CAS  Article  Google Scholar 

  8. 8.

    Vepsäläinen, A. P. et al. Impact of ionizing radiation on superconducting qubit coherence. Nature 584, 551–556 (2020).

    ADS  Article  Google Scholar 

  9. 9.

    Agostinelli, S. et al. GEANT4—a simulation toolkit. Nucl. Instrum. Methods Phys. Res. A 506, 250–303 (2003).

    ADS  CAS  Article  Google Scholar 

  10. 10.

    Allison, J. et al. GEANT4 developments and applications. IEEE Trans. Nucl. Sci. 53, 270–278 (2006).

    ADS  Article  Google Scholar 

  11. 11.

    Allison, J. et al. Recent developments in GEANT4. Nucl. Instrum. Methods Phys. Res. A 835, 186–225 (2016).

    ADS  CAS  Article  Google Scholar 

  12. 12.

    Shukla, P. & Sankrith, S. Energy and angular distributions of atmospheric muons at the Earth. Preprint at https://arxiv.org/abs/1606.06907 (2018).

  13. 13.

    Ramanathan, K. & Kurinsky, N. Ionization yield in silicon for eV-scale electron-recoil processes. Phys. Rev. D 102, 063026 (2020).

    ADS  CAS  Article  Google Scholar 

  14. 14.

    Brandt, D. et al. Semiconductor phonon and charge transport Monte Carlo simulation using GEANT4. Preprint at https://arxiv.org/abs/1403.4984 (2014).

  15. 15.

    Kelsey, M., Agnese, R., Brandt, D. & Redl, P. G4CMP: GEANT4 add-on framework for phonon and charge-carrier physics. https://github.com/kelseymh/G4CMP (2020).

  16. 16.

    Moffatt, R. A. et al. Spatial imaging of charge transport in silicon at low temperature. Appl. Phys. Lett. 114, 032104 (2019).

    ADS  Article  Google Scholar 

  17. 17.

    Martinis, J. M., Ansmann, M. & Aumentado, J. Energy decay in superconducting Josephson-junction qubits from nonequilibrium quasiparticle excitations. Phys. Rev. Lett. 103, 097002 (2009).

    ADS  Article  Google Scholar 

  18. 18.

    Lenander, M. et al. Measurement of energy decay in superconducting qubits from nonequilibrium quasiparticles. Phys. Rev. B 84, 024501 (2011).

    ADS  Article  Google Scholar 

  19. 19.

    Wenner, J. et al. Excitation of superconducting qubits from hot nonequilibrium quasiparticles. Phys. Rev. Lett. 110, 150502 (2013).

    ADS  CAS  Article  Google Scholar 

  20. 20.

    Wang, C. et al. Measurement and control of quasiparticle dynamics in a superconducting qubit. Nat. Commun. 5, 5836 (2014).

    ADS  CAS  Article  Google Scholar 

  21. 21.

    Serniak, K. et al. Hot nonequilibrium quasiparticles in transmon qubits. Phys. Rev. Lett. 121, 157701 (2018).

    ADS  CAS  Article  Google Scholar 

  22. 22.

    Ristè, D. et al. Millisecond charge-parity uctuations and induced decoherence in a superconducting transmon qubit. Nat. Commun. 4, 1913 (2013).

    ADS  Article  Google Scholar 

  23. 23.

    Catelani, G., Schoelkopf, R. J., Devoret, M. H. & Glazman, L. I. Relaxation and frequency shifts induced by quasiparticles in superconducting qubits. Phys. Rev. B 84, 064517 (2011).

    ADS  Article  Google Scholar 

  24. 24.

    Dell’Oro, S., Marcocci, S., Viel, M. & Vissani, F. Neutrinoless double beta decay: 2015 review. Adv. High Energy Phys. 2016, 1–37 (2016).

    Article  Google Scholar 

  25. 25.

    Poda, D. & Giuliani, A. Low background techniques in bolometers for double-beta decay search. Int. J. Mod. Phys. A 32, 1743012 (2017).

    ADS  CAS  Article  Google Scholar 

  26. 26.

    Baudis, L. The search for dark matter. Eur. Rev. 26, 70–81 (2018).

    Article  Google Scholar 

  27. 27.

    Pirro, S. & Mauskopf, P. Advances in bolometer technology for fundamental physics. Annu. Rev. Nucl. Part. Sci. 67, 161–181 (2017).

    ADS  CAS  Article  Google Scholar 

  28. 28.

    Szücs, T. et al. Background in γ-ray detectors and carbon beam tests in the Felsenkeller shallow-underground accelerator laboratory. Eur. Phys. J. A 55, 174 (2019).

    ADS  Article  Google Scholar 

  29. 29.

    Aglietta, M. et al. Muon ‘depth–intensity’ relation measured by the lvd underground experiment and cosmic-ray muon spectrum at sea level. Phys. Rev. D 58, 092005 (1998).

    ADS  Article  Google Scholar 

  30. 30.

    Jillings, C. The SNOLAB science program. J. Phys. Conf. Ser. 718, 062028 (2016).

    Article  Google Scholar 

  31. 31.

    Alessandria, F. et al. Validation of techniques to mitigate copper surface contamination in CUORE. Astropart. Phys. 45, 13–22 (2013).

    ADS  Article  Google Scholar 

  32. 32.

    Aprile, E. et al. Material screening and selection for XENON100. Astropart. Phys. 35, 43–49 (2011).

    ADS  Article  Google Scholar 

  33. 33.

    Busto, J., Gonin, Y., Hubert, F., Hubert, P. & Vuilleumier, J.-M. Radioactivity measurements of a large number of adhesives. Nucl. Instrum. Methods Phys. Res. A 492, 35–42 (2002).

    ADS  CAS  Article  Google Scholar 

  34. 34.

    ILIAS Database. http://radiopurity.in2p3.fr (accessed November 2020).

  35. 35.

    Cardani, L. et al. Reducing the impact of radioactivity on quantum circuits in a deep-underground facility. Preprint at https://arxiv.org/abs/2005.02286 (2020).

  36. 36.

    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).

    ADS  CAS  Article  Google Scholar 

  37. 37.

    Patel, U., Pechenezhskiy, I. V., Plourde, B. L. T., Vavilov, M. G. & McDermott, R. Phonon-mediated quasiparticle poisoning of superconducting microwave resonators. Phys. Rev. B 96, 220501(R) (2017).

    ADS  Article  Google Scholar 

  38. 38.

    Martinis, J. M. Saving superconducting quantum processors from qubit decay and correlated errors generated by gamma and cosmic rays. Preprint at https://arxiv.org/abs/2012.06137 (2020).

  39. 39.

    Beckman, S. M. et al. Development of cosmic ray mitigation techniques for the LiteBIRD space mission. Proc. SPIE 10708, https://doi.org/10.1117/12.2314288 (2018).

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Acknowledgements

We acknowledge stimulating discussions with R. Barends, I. M. Pop and J. M. Martinis. We thank S. Pirro for discussions and for sharing the results of his measurements of environmental radioactivity, J. W. Engle for assistance with the calibration of the NaI scintillation detector used to characterize background radioactivity in the laboratory in Madison, and A. Riswadkar for support with device fabrication. Work at UW-Madison was supported by the US Department of Energy (DOE), Office of Science, Basic Energy Sciences under award no. DE-SC0020313. Parts of this document were prepared using the resources of the Fermi National Accelerator Laboratory (Fermilab), a US DOE, Office of Science, HEP User Facility. Fermilab is managed by Fermi Research Alliance, LLC (FRA), acting under contract no. DE-AC02-07CH11359. Contributions from J.L.D. were performed under the auspices of the US DOE by Lawrence Livermore National Laboratory under contract DE-AC52-07NA27344. Parts of this work were supported by the DEMETRA start-up grant from INFN. The authors acknowledge use of facilities and instrumentation at the UW-Madison Wisconsin Centers for Nanoscale Technology, partially supported by the US National Science Foundation through the University of Wisconsin Materials Research Science and Engineering Center (DMR-1720415). We acknowledge the US Intelligence Advanced Research Projects Activity (IARPA) and Lincoln Laboratory for providing the travelling-wave parametric amplifier used in some of these experiments.

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Contributions

C.D.W. and S.A. took and analysed the data. N.A.K. and C.S. simulated charge transport in the silicon substrate. L.C., G.D. and C.T. performed the GEANT4 simulations. L.F., L.B.I. and J.L.D. provided theoretical insights and support. C.H.L., A.O. and B.G.C. helped to develop the measurement and fabrication infrastructure. R.M. designed the experiment and directed data-taking and analysis. C.D.W., R.M., N.A.K. and L.C. co-wrote the manuscript.

Corresponding authors

Correspondence to C. D. Wilen or R. McDermott.

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Peer review information Nature thanks Joseph Formaggio, Kevin Osborn and the other, anonymous, reviewer(s) for their contribution to the peer review of this work. Peer reviewer reports are available.

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Wilen, C.D., Abdullah, S., Kurinsky, N.A. et al. Correlated charge noise and relaxation errors in superconducting qubits. Nature 594, 369–373 (2021). https://doi.org/10.1038/s41586-021-03557-5

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