From noisy observables to accurate ground state energies: a quantum classical signal subspace approach with denoising

• URL: http://arxiv.org/abs/2505.10735v1
• Date: Thu, 15 May 2025 22:37:44 GMT
• Title: From noisy observables to accurate ground state energies: a quantum classical signal subspace approach with denoising
• Authors: Hardeep Bassi, Yizhi Shen, Harish S. Bhat, Roel Van Beeumen,
• Abstract summary: We propose a hybrid quantum-classical algorithm for ground state energy estimation.<n>We show that FDODMD achieves convergence in high-noise regimes inaccessible to baseline methods under a limited quantum computational budget.<n>This performance gain is entirely classical, requiring no additional quantum overhead and significantly reducing overall quantum resource demands.
• Score: 0.7499722271664144
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We propose a hybrid quantum-classical algorithm for ground state energy (GSE) estimation that remains robust to highly noisy data and exhibits low sensitivity to hyperparameter tuning. Our approach -- Fourier Denoising Observable Dynamic Mode Decomposition (FDODMD) -- combines Fourier-based denoising thresholding to suppress spurious noise modes with observable dynamic mode decomposition (ODMD), a quantum-classical signal subspace method. By applying ODMD to an ensemble of denoised time-domain trajectories, FDODMD reliably estimates the system's eigenfrequencies. We also provide an error analysis of FDODMD. Numerical experiments on molecular systems demonstrate that FDODMD achieves convergence in high-noise regimes inaccessible to baseline methods under a limited quantum computational budget, while accelerating spectral estimation in intermediate-noise regimes. Importantly, this performance gain is entirely classical, requiring no additional quantum overhead and significantly reducing overall quantum resource demands.

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