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Quantum Error Correction Fault Tolerance

Recursive Magic State Distillation on the Surface Code

arXiv
Authors: Jonathan E. Moussa

Year

2026

Paper ID

25751

Status

Preprint

Abstract Read

~2 min

Abstract Words

108

Citations

N/A

Abstract

I reduce the cost to prepare magic states with lattice surgery operations on the surface code by using a recursive implementation of 15-to-1 magic state distillation. On a rotated surface code with distance d, |Trangle preparation requires a d-by-3 d grid of data qubits for up to 15 d error correction cycles, and |CCZrangle preparation requires a 3 d-by-2 d grid for up to 10.5 d cycles. However, a significantly lower physical error threshold than that of the underlying surface code is required to match the error probability of the output magic state with the logical error rate of the output surface code at large code distances.

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  • This paper contributes to the Quantum Error Correction & Fault Tolerance research area in the Quantum Articles archive.
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  • I reduce the cost to prepare magic states with lattice surgery operations on the surface code by using a recursive implementation of 15-to-1 magic state distillation.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2603.05409 [2] arXiv https://arxiv.org/abs/2603.05409 [3] Publisher https://arxiv.org/abs/2603.05409

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