Fault-tolerant quantum architectures based on erasure qubits

Fuente: arXiv
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Autori principali: Gu, Shouzhen, Retzker, Alex, Kubica, Aleksander
Natura: Preprint
Pubblicazione: 2023
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author Gu, Shouzhen
Retzker, Alex
Kubica, Aleksander
author_facet Gu, Shouzhen
Retzker, Alex
Kubica, Aleksander
contents The overhead of quantum error correction (QEC) poses a major bottleneck for realizing fault-tolerant computation. To reduce this overhead, we exploit the idea of erasure qubits, relying on an efficient conversion of the dominant noise into erasures at known locations. We start by introducing a formalism for QEC schemes with erasure qubits and express the corresponding decoding problem as a matching problem. Then, we propose and optimize QEC schemes based on erasure qubits and the recently-introduced Floquet codes. Our schemes are well-suited for superconducting circuits, being compatible with planar layouts. We numerically estimate the memory thresholds for the circuit noise model that includes spreading (via entangling operations) and imperfect detection of erasures. Our results demonstrate that, despite being slightly more complex, QEC schemes based on erasure qubits can significantly outperform standard approaches.
format Preprint
id arxiv_https___arxiv_org_abs_2312_14060
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Fault-tolerant quantum architectures based on erasure qubits
Gu, Shouzhen
Retzker, Alex
Kubica, Aleksander
Quantum Physics
The overhead of quantum error correction (QEC) poses a major bottleneck for realizing fault-tolerant computation. To reduce this overhead, we exploit the idea of erasure qubits, relying on an efficient conversion of the dominant noise into erasures at known locations. We start by introducing a formalism for QEC schemes with erasure qubits and express the corresponding decoding problem as a matching problem. Then, we propose and optimize QEC schemes based on erasure qubits and the recently-introduced Floquet codes. Our schemes are well-suited for superconducting circuits, being compatible with planar layouts. We numerically estimate the memory thresholds for the circuit noise model that includes spreading (via entangling operations) and imperfect detection of erasures. Our results demonstrate that, despite being slightly more complex, QEC schemes based on erasure qubits can significantly outperform standard approaches.
title Fault-tolerant quantum architectures based on erasure qubits
topic Quantum Physics
url https://arxiv.org/abs/2312.14060