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Auteurs principaux: Guo, Ziqing, Rayan, Steven, Hu, Wenshuo, Pan, Ziwen
Format: Preprint
Publié: 2025
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Accès en ligne:https://arxiv.org/abs/2504.04021
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author Guo, Ziqing
Rayan, Steven
Hu, Wenshuo
Pan, Ziwen
author_facet Guo, Ziqing
Rayan, Steven
Hu, Wenshuo
Pan, Ziwen
contents Quantum combinatorial optimization algorithms typically face challenges due to complex optimization landscapes featuring numerous local minima, exponentially scaling latent spaces, and susceptibility to quantum hardware noise. In this study, we introduce Direct Entanglement Ansatz Learning (DEAL), wherein we employ a direct mapping from quadratic unconstrained binary problem parameters to quantum ansatz angles for cost and mixer hamiltonians, which improves the convergence rate towards the optimal solution. Our approach exploits a quantum entanglement-based ansatz to effectively explore intricate latent spaces and zero noise extrapolation (ZNE) to greatly mitigate the randomness caused by crosstalk and coherence errors. Our experimental evaluation demonstrates that DEAL increases the success rate by up to 14% compared to the classic quantum approximation optimization algorithm while also controlling the error variance. In addition, we demonstrate the capability of DEAL to provide near optimum ground energy solutions for travelling salesman, knapsack, and maxcut problems, which facilitates novel paradigms for solving relevant NP-hard problems and extends the practical applicability of quantum optimization using noisy quantum hardware.
format Preprint
id arxiv_https___arxiv_org_abs_2504_04021
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Direct entanglement ansatz learning (DEAL) with ZNE on error-prone superconducting qubits
Guo, Ziqing
Rayan, Steven
Hu, Wenshuo
Pan, Ziwen
Quantum Physics
Quantum combinatorial optimization algorithms typically face challenges due to complex optimization landscapes featuring numerous local minima, exponentially scaling latent spaces, and susceptibility to quantum hardware noise. In this study, we introduce Direct Entanglement Ansatz Learning (DEAL), wherein we employ a direct mapping from quadratic unconstrained binary problem parameters to quantum ansatz angles for cost and mixer hamiltonians, which improves the convergence rate towards the optimal solution. Our approach exploits a quantum entanglement-based ansatz to effectively explore intricate latent spaces and zero noise extrapolation (ZNE) to greatly mitigate the randomness caused by crosstalk and coherence errors. Our experimental evaluation demonstrates that DEAL increases the success rate by up to 14% compared to the classic quantum approximation optimization algorithm while also controlling the error variance. In addition, we demonstrate the capability of DEAL to provide near optimum ground energy solutions for travelling salesman, knapsack, and maxcut problems, which facilitates novel paradigms for solving relevant NP-hard problems and extends the practical applicability of quantum optimization using noisy quantum hardware.
title Direct entanglement ansatz learning (DEAL) with ZNE on error-prone superconducting qubits
topic Quantum Physics
url https://arxiv.org/abs/2504.04021