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Quantum Error Correction Fault Tolerance

Effect of quantum error correction on detection-induced coherent errors

arXiv
Authors: Qinghong Yang, Dong E. Liu

Year

2021

Paper ID

63096

Status

Preprint

Abstract Read

~2 min

Abstract Words

96

Citations

N/A

Abstract

We study the performance of quantum error correction codes (QECCs) under the detection-induced coherent error due to the imperfectness of practical implementations of stabilizer measurements, after running a quantum circuit. Considering the most promising surface code, we find that the detection-induced coherent error will result in undetected error terms, which will accumulate and evolve into logical errors. However, we show that such errors will be alleviated by increasing the code size, akin to eliminating other types of errors discussed previously. We also find that with detection-induced coherent errors, the exact surface code becomes an approximate QECC.

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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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  • We study the performance of quantum error correction codes (QECCs) under the detection-induced coherent error due to the imperfectness of practical implementations of...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2107.08974 [2] arXiv https://arxiv.org/abs/2107.08974 [3] Publisher https://arxiv.org/abs/2107.08974

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