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Quantum Error Correction Fault Tolerance

Efficient encoding of the 2D toric code logical state using local Clifford gates

arXiv
Authors: Ivan H. C. Shum

Year

2025

Paper ID

51114

Status

Preprint

Abstract Read

~2 min

Abstract Words

30

Citations

N/A

Abstract

An algorithm which encodes the $L\times L$ 2D toric code logical state with a circuit of depth $2L+1$, using only local controlled-NOT($CX$) and Hadamard($H$) gates, is presented.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2510.15107 [2] arXiv https://arxiv.org/abs/2510.15107 [3] Publisher https://arxiv.org/abs/2510.15107

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