Surface-Code Thresholds and Qubit Footprints in Shuttling-Based Spin-Qubit Railways
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arXiv
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| Autori principali: | , , , , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866911655356530688 |
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| author | Moncy, Arun John Dastbasteh, Reza Martinez, Josu Etxezarreta Nagai, Ryo Crespo, Pedro M. Mertig, Normann Smith, Charles Otxoa, Ruben M. |
| author_facet | Moncy, Arun John Dastbasteh, Reza Martinez, Josu Etxezarreta Nagai, Ryo Crespo, Pedro M. Mertig, Normann Smith, Charles Otxoa, Ruben M. |
| contents | We present a fault-tolerant mapping of rotated surface codes onto a $2\times N$ silicon spin-qubit railway architecture, utilizing electron shuttling to resolve the wiring fan-out bottleneck. Employing circuit-level noise modeling, we evaluate threshold performances across various noise biases. We demonstrate that shuttling check qubits instead of data qubits fundamentally improves system thresholds. Crucially, under a noise model biased towards dephasing for spin-qubit shuttling, the non-CSS XZZX surface code outperforms standard CSS variants. By tailoring the topological code to this specific inherent bias, we show that the Megaquop footprint is achievable with a distance 7 code requiring a $p = 10^{-3}$ physical error rate, highlighting a pathway for substantial hardware reductions in early fault-tolerant quantum processors. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_05881 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Surface-Code Thresholds and Qubit Footprints in Shuttling-Based Spin-Qubit Railways Moncy, Arun John Dastbasteh, Reza Martinez, Josu Etxezarreta Nagai, Ryo Crespo, Pedro M. Mertig, Normann Smith, Charles Otxoa, Ruben M. Quantum Physics We present a fault-tolerant mapping of rotated surface codes onto a $2\times N$ silicon spin-qubit railway architecture, utilizing electron shuttling to resolve the wiring fan-out bottleneck. Employing circuit-level noise modeling, we evaluate threshold performances across various noise biases. We demonstrate that shuttling check qubits instead of data qubits fundamentally improves system thresholds. Crucially, under a noise model biased towards dephasing for spin-qubit shuttling, the non-CSS XZZX surface code outperforms standard CSS variants. By tailoring the topological code to this specific inherent bias, we show that the Megaquop footprint is achievable with a distance 7 code requiring a $p = 10^{-3}$ physical error rate, highlighting a pathway for substantial hardware reductions in early fault-tolerant quantum processors. |
| title | Surface-Code Thresholds and Qubit Footprints in Shuttling-Based Spin-Qubit Railways |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2605.05881 |