Bosonic error correction using a bit-flip-protected control qubit: Part 2

ORAL

Abstract

Bosonic quantum error correction (QEC) involves encoding information in the phase space of a quantum harmonic oscillator, and offers a hardware-efficient path towards fault-tolerant quantum information processing. In superconducting circuits, bosonic QEC has been achieved using 3D cavity resonators controlled via fixed-frequency transmon qubits [1-4]. However, all previous demonstrations have been limited by bit-flips in the transmon control qubit (with typical T1 lifetimes on the order of 100 microseconds), resulting in logical lifetimes that are upper-bounded by approximately ~10T1. In this work, we propose replacing the transmon with a heavy-fluxonium qubit, which has been shown to possess T1 lifetimes in excess of 1 millisecond [5-7]. By embedding the fluxonium qubit within a 3D cavity architecture, we demonstrate bit-flip-protected bosonic QEC using the Gottesman-Kiteav-Preskill (GKP) encoding.

In this part of a multi-part talk, we will showcase the high-performance simulation infrastructure and software tools developed for this project.

[1] N. Ofek et al., Nature 536, 441–445 (2016).

[2] J. Gertler et al., Nature 590, 243–248 (2021).

[3] L. Hu et al., Nat. Phys. 15, 503–508 (2019).

[4] P. Campagne-Ibarcq et al., Nature 368–372 (2020).

[5] N. Earnest et al., Phys. Rev. Lett. 120, 150504 (2018).

[6] Y. Lin et al., Phys. Rev. Lett. 120, 150503 (2018).

[7] H. Zhang et al., Phys. Rev. X 11, 011010 (2021).

*This research was funded in part by the AWS Center for Quantum Computing and in part by the Under Secretary of Defense for Research and Engineering under Air Force Contract No. FA8702-15-D-0001. M. H. acknowledges funding from the IC Postdoctoral Fellowship. S. C. and S. R. J. acknowledge support from the National Science Foundation Graduate Research Fellowship under Grant No. 1745302. Any opinion, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation or the Under Secretary of Defense for Research and Engineering.

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Presenters

  • Shantanu R Jha

    • Massachusetts Institute of Technology (MIT)

Authors

  • Shantanu R Jha

    • Massachusetts Institute of Technology (MIT)

  • Max Hays

    • Massachusetts Institute of Technology (MIT)
    • MIT
    • Massachusetts Institute of Technology

  • Shoumik Chowdhury

    • Massachusetts Institute of Technology (MIT)

  • Miuko Tanaka

    • Massachusetts Institute of Technology (MIT)
    • Massachusetts Institute of Technology

  • Agustin Di Paolo

    • Massachusetts Institute of Technology (MIT)
    • Massachusetts Institute of Technology

  • Patrick M Harrington

    • Massachusetts Institute of Technology MIT
    • Massachusetts Institute of Technology (MIT)
    • Massachusetts Institute of Technology

  • Jeffrey Knecht

    • MIT Lincoln Lab
    • MIT Lincoln Laboratory

  • Alexander Melville

    • MIT Lincoln Laboratory

  • Bethany M Niedzielski

    • MIT Lincoln Lab
    • MIT Lincoln Laboratory

  • Mollie E Schwartz

    • MIT Lincoln Laboratory

  • Jonilyn L Yoder

    • MIT Lincoln Lab
    • MIT Lincoln Laboratory

  • Kyle Serniak

    • MIT Lincoln Laboratory

  • Jeffrey A Grover

    • Massachusetts Institute of Technology MIT
    • Massachusetts Institute of Technology (MIT)
    • Massachusetts Institute of Technology

  • William D Oliver

    • Massachusetts Institute of Technology MIT
    • Massachusetts Institute of Technology (MIT), MIT Lincoln Laboratory
    • Massachusetts Institute of Technology (MIT)
    • Massachusetts Institute of Technology
    • Massachusetts Institute of Technology, MIT Lincoln Laboratory