Combining Error Detection and Mitigation: A Hybrid Protocol for Near-Term Quantum Simulation

Fuente: arXiv
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Auteurs principaux: Zhong, Dawei, Munizzi, William, Chen, Huo, de Jong, Wibe Albert
Format: Preprint
Publié: 2025
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author Zhong, Dawei
Munizzi, William
Chen, Huo
de Jong, Wibe Albert
author_facet Zhong, Dawei
Munizzi, William
Chen, Huo
de Jong, Wibe Albert
contents Practical implementation of quantum error correction is currently limited by near-term quantum hardware. In contrast, quantum error mitigation has demonstrated strong promise for improving the performance of noisy quantum circuits without the requirement of full fault tolerance. In this work, we develop a hybrid error suppression protocol that integrates Pauli twirling, probabilistic error cancellation, and the $[[n, n-2, 2]]$ quantum error detecting code. In addition, to reduce overhead from error mitigation components of our method, we modify Pauli twirling by lowering the number of Pauli operators in the twirling set, and apply probabilistic error cancellation at the end of the encoded circuit to remove undetectable errors. Finally, we demonstrate our protocol on a non-Clifford variational quantum eigensolver circuit that estimates the ground state energy of $\rm H_2$ using both \texttt{qiskit} AerSimulator and the IBM quantum processor \texttt{ibm\_brussels}.
format Preprint
id arxiv_https___arxiv_org_abs_2510_01181
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Combining Error Detection and Mitigation: A Hybrid Protocol for Near-Term Quantum Simulation
Zhong, Dawei
Munizzi, William
Chen, Huo
de Jong, Wibe Albert
Quantum Physics
Computational Physics
Practical implementation of quantum error correction is currently limited by near-term quantum hardware. In contrast, quantum error mitigation has demonstrated strong promise for improving the performance of noisy quantum circuits without the requirement of full fault tolerance. In this work, we develop a hybrid error suppression protocol that integrates Pauli twirling, probabilistic error cancellation, and the $[[n, n-2, 2]]$ quantum error detecting code. In addition, to reduce overhead from error mitigation components of our method, we modify Pauli twirling by lowering the number of Pauli operators in the twirling set, and apply probabilistic error cancellation at the end of the encoded circuit to remove undetectable errors. Finally, we demonstrate our protocol on a non-Clifford variational quantum eigensolver circuit that estimates the ground state energy of $\rm H_2$ using both \texttt{qiskit} AerSimulator and the IBM quantum processor \texttt{ibm\_brussels}.
title Combining Error Detection and Mitigation: A Hybrid Protocol for Near-Term Quantum Simulation
topic Quantum Physics
Computational Physics
url https://arxiv.org/abs/2510.01181