Comparison of spin-qubit architectures for quantum error-correcting codes

Fuente: arXiv
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Main Authors: Gutiérrez, Mauricio, Rojas-Arias, Juan S., Obando, David, Chang, Chien-Yuan
Format: Preprint
Published: 2025
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author Gutiérrez, Mauricio
Rojas-Arias, Juan S.
Obando, David
Chang, Chien-Yuan
author_facet Gutiérrez, Mauricio
Rojas-Arias, Juan S.
Obando, David
Chang, Chien-Yuan
contents We investigate the performance of two quantum error-correcting codes, the surface code and the Bacon-Shor code, for implementation with spin qubits in silicon. In each case, we construct a logical qubit using a planar array of quantum dots, exploring two encoding schemes: one based solely on single-electron Zeeman qubits (Loss-DiVincenzo qubits), and a hybrid approach combining Zeeman and singlet-triplet qubits. For both codes, we evaluate key performance metrics, including logical state preparation fidelity and cycle-level error correction performance, using state-of-the-art experimental parameters. Our results show that the hybrid encoding consistently outperforms the pure Zeeman-qubit implementation. By identifying the dominant error mechanisms that limit quantum error correction performance, our study highlights concrete targets for improving spin qubit hardware and provides a path toward scalable fault-tolerant architectures. In particular, we find that the logical error rate is not limited by memory errors, but rather by gate errors, especially 1- and 2-qubit gate errors.
format Preprint
id arxiv_https___arxiv_org_abs_2506_17190
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Comparison of spin-qubit architectures for quantum error-correcting codes
Gutiérrez, Mauricio
Rojas-Arias, Juan S.
Obando, David
Chang, Chien-Yuan
Quantum Physics
We investigate the performance of two quantum error-correcting codes, the surface code and the Bacon-Shor code, for implementation with spin qubits in silicon. In each case, we construct a logical qubit using a planar array of quantum dots, exploring two encoding schemes: one based solely on single-electron Zeeman qubits (Loss-DiVincenzo qubits), and a hybrid approach combining Zeeman and singlet-triplet qubits. For both codes, we evaluate key performance metrics, including logical state preparation fidelity and cycle-level error correction performance, using state-of-the-art experimental parameters. Our results show that the hybrid encoding consistently outperforms the pure Zeeman-qubit implementation. By identifying the dominant error mechanisms that limit quantum error correction performance, our study highlights concrete targets for improving spin qubit hardware and provides a path toward scalable fault-tolerant architectures. In particular, we find that the logical error rate is not limited by memory errors, but rather by gate errors, especially 1- and 2-qubit gate errors.
title Comparison of spin-qubit architectures for quantum error-correcting codes
topic Quantum Physics
url https://arxiv.org/abs/2506.17190