2025/05/31 by Grace M. Sommers, Michael Foss‐Feig, Sommers, Grace M. +7 · 3 citations
Computer Science · Engineering · #Advanced Data Storage Technologies #FOS: Physical sciences #Quantum Physics (quant-ph) #Radiation Effects in Electronics #Semiconductor materials and devices
paper · pdf · doi:10.48550/arxiv.2506.00579
openalex publication_date 2025/05/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We introduce a fault-tolerant protocol for code concatenation of a generalized Shor code using a butterfly network architecture with high noise thresholds and low ancilla overhead to allow implementation on current devices. We develop a probability passing decoder using tensor networks that applies Bayesian updates to the marginal error probabilities after each layer of checks, achieving a state preparation threshold of ec ≈ 0.089 for erasure errors, and ≈ 0.015 for unheralded noise. We implement our state preparation protocol on ion-trap hardware with added noise to demonstrate the threshold behavior in a real quantum device. We further theoretically test the performance of our scheme as a quantum memory and for universal quantum computation through the preparation of low-noise magic states for state distillation and T-gate injection.