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Quantum Error Correction Fault Tolerance Quantum Simulation

Iteratively decoded magic state distillation

arXiv
Authors: Kwok Ho Wan

Year

2024

Paper ID

37750

Status

Preprint

Abstract Read

~2 min

Abstract Words

98

Citations

N/A

Abstract

We present numerical simulation results for the 7-to-1 and 15-to-1 state distillation circuits, constructed using transversal CNOTs acting on multiple surface code patches. The distillation circuits are decoded iteratively using the method outlined in [arXiv:2407.20976]. We show that, with a re-configurable qubit architecture, we can perform fast magic state distillation in simmathcal{O}(1) code cycles. We confirm that both circuits suppress an injected input error rate p to mathcal{O}\(p3\) in the presence of additional circuit-level noise. We also outline how ZX-calculus and Pauli webs can be used to benchmark stabiliser proxies for these distillation circuits.

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  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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  • We present numerical simulation results for the 7-to-1 and 15-to-1 state distillation circuits, constructed using transversal CNOTs acting on multiple surface code patches.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2410.17992 [2] arXiv https://arxiv.org/abs/2410.17992 [3] Publisher https://arxiv.org/abs/2410.17992

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