Observation of a Fault Tolerance Threshold with Concatenated Codes
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arXiv
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| Autores principales: | , , , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Acceso en línea: | |
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| _version_ | 1866912678793969664 |
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| author | Sommers, Grace M. Foss-Feig, Michael Hayes, David Huse, David A. Gullans, Michael J. |
| author_facet | Sommers, Grace M. Foss-Feig, Michael Hayes, David Huse, David A. Gullans, Michael J. |
| contents | 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 $e_c \approx 0.089$ for erasure errors, and $\approx 0.015$ 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_00579 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Observation of a Fault Tolerance Threshold with Concatenated Codes Sommers, Grace M. Foss-Feig, Michael Hayes, David Huse, David A. Gullans, Michael J. Quantum Physics 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 $e_c \approx 0.089$ for erasure errors, and $\approx 0.015$ 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. |
| title | Observation of a Fault Tolerance Threshold with Concatenated Codes |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2506.00579 |