From noisy observables to accurate ground state energies: a quantum classical signal subspace approach with denoising
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arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866910947250012160 |
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| author | Bassi, Hardeep Shen, Yizhi Bhat, Harish S. Van Beeumen, Roel |
| author_facet | Bassi, Hardeep Shen, Yizhi Bhat, Harish S. Van Beeumen, Roel |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_10735 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | From noisy observables to accurate ground state energies: a quantum classical signal subspace approach with denoising Bassi, Hardeep Shen, Yizhi Bhat, Harish S. Van Beeumen, Roel Quantum Physics Systems and Control Signal Processing Computational Physics 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. |
| title | From noisy observables to accurate ground state energies: a quantum classical signal subspace approach with denoising |
| topic | Quantum Physics Systems and Control Signal Processing Computational Physics |
| url | https://arxiv.org/abs/2505.10735 |