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arXiv · 2309.16406

Towards surgery with good quantum LDPC codes

Alexander Cowtan
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Abstract

We show that the good quantum LDPC codes of Panteleev-Kalachev \cite{PK} allow for surgery using any logical qubits, albeit incurring an asymptotic penalty which lowers the rate and distance scaling. We also prove that we can satisfy 3 of the 4 conditions for performing surgery \textit{without} incurring an asymptotic penalty. If the last condition is also satisfied then we can perform code surgery while maintaining $k, d\in \Theta(n)$.

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Alexander Cowtan. 2023-09-28. Towards surgery with good quantum LDPC codes. https://arxiv.org/abs/2309.16406

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