Circuit performance of abelian and non-abelian two-block codes

ORAL

Abstract

We design fault-tolerant and time efficient syndrome measurement

circuits for abelian and non-abelian two-block codes [1,2] using one

ancillary qubit per stabilizer generator. For several generalized

bicycle (GB) codes the designed circuits are time-optimal and fully

fault-tolerant, meaning that there are no idle data qubits and the

effective circuit distance under one- and two-qubit depolarizing noise

coincides with that of the original code. We also simulate the

designed circuits and compare the performance of several variants of BP and BP+OSD

decoders.

*APS M. Hildred Blewett Fellowship and NSF grant 2112848

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Publication: [1] H. Lin and L. P. Pryadko ``Quantum two-block group algebra codes,'' arXiv: 2306.16400
[2] R. Wang and L. P. Pryadko ``Distance Bounds for Generalized Bicycle Codes," Symmetry 14 (2022) 7, 1348.

Presenters

  • Hsiang Lin

    • University of California, Riverside

Authors

  • Hsiang Lin

    • University of California, Riverside

  • Renyu Wang

    • University of California, Riverside

  • Xingrui Liu

    • University of California, Riverside

  • Leonid P Pryadko

    • University of California, Riverside