A Noise-Aware Scalable Subspace Classical Optimizer for the Quantum Approximate Optimization Algorithm

Fuente: arXiv
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Hauptverfasser: Dzahini, Kwassi Joseph, Larson, Jeffrey M., Menickelly, Matt, Wild, Stefan M.
Format: Preprint
Veröffentlicht: 2025
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author Dzahini, Kwassi Joseph
Larson, Jeffrey M.
Menickelly, Matt
Wild, Stefan M.
author_facet Dzahini, Kwassi Joseph
Larson, Jeffrey M.
Menickelly, Matt
Wild, Stefan M.
contents We introduce ANASTAARS, a noise-aware scalable classical optimizer for variational quantum algorithms such as the quantum approximate optimization algorithm (QAOA). ANASTAARS leverages adaptive random subspace strategies to efficiently optimize the ansatz parameters of a QAOA circuit, in an effort to address challenges posed by a potentially large number of QAOA layers. ANASTAARS iteratively constructs random interpolation models within low-dimensional affine subspaces defined via Johnson--Lindenstrauss transforms. This adaptive strategy allows the selective reuse of previously acquired measurements, significantly reducing computational costs associated with shot acquisition. Furthermore, to robustly handle noisy measurements, ANASTAARS incorporates noise-aware optimization techniques by estimating noise magnitude and adjusts trust-region steps accordingly. Numerical experiments demonstrate the practical scalability of the proposed method for near-term quantum computing applications.
format Preprint
id arxiv_https___arxiv_org_abs_2507_10992
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle A Noise-Aware Scalable Subspace Classical Optimizer for the Quantum Approximate Optimization Algorithm
Dzahini, Kwassi Joseph
Larson, Jeffrey M.
Menickelly, Matt
Wild, Stefan M.
Quantum Physics
Optimization and Control
We introduce ANASTAARS, a noise-aware scalable classical optimizer for variational quantum algorithms such as the quantum approximate optimization algorithm (QAOA). ANASTAARS leverages adaptive random subspace strategies to efficiently optimize the ansatz parameters of a QAOA circuit, in an effort to address challenges posed by a potentially large number of QAOA layers. ANASTAARS iteratively constructs random interpolation models within low-dimensional affine subspaces defined via Johnson--Lindenstrauss transforms. This adaptive strategy allows the selective reuse of previously acquired measurements, significantly reducing computational costs associated with shot acquisition. Furthermore, to robustly handle noisy measurements, ANASTAARS incorporates noise-aware optimization techniques by estimating noise magnitude and adjusts trust-region steps accordingly. Numerical experiments demonstrate the practical scalability of the proposed method for near-term quantum computing applications.
title A Noise-Aware Scalable Subspace Classical Optimizer for the Quantum Approximate Optimization Algorithm
topic Quantum Physics
Optimization and Control
url https://arxiv.org/abs/2507.10992