Quantum Many-Body Linear Algebra, Hamiltonian Moments, and a Coupled Cluster Inspired Framework
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866911340204916736 |
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| author | Ai, Yuhang Zhai, Huanchen Tölle, Johannes Chan, Garnet Kin-Lic |
| author_facet | Ai, Yuhang Zhai, Huanchen Tölle, Johannes Chan, Garnet Kin-Lic |
| contents | We propose a general strategy to develop quantum many-body approximations of primitives in linear algebra algorithms. As a practical example, we introduce a coupled-cluster inspired framework to produce approximate Hamiltonian moments, and demonstrate its application in various linear algebra algorithms for ground state estimation. Through numerical examples, we illustrate the difference between the ground-state energies arising from quantum many-body linear algebra and those from the analogous many-body perturbation theory. Our results support the general idea of designing quantum many-body approximations outside of perturbation theory, providing a route to new algorithms and approximations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_22908 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Quantum Many-Body Linear Algebra, Hamiltonian Moments, and a Coupled Cluster Inspired Framework Ai, Yuhang Zhai, Huanchen Tölle, Johannes Chan, Garnet Kin-Lic Chemical Physics Strongly Correlated Electrons Quantum Physics We propose a general strategy to develop quantum many-body approximations of primitives in linear algebra algorithms. As a practical example, we introduce a coupled-cluster inspired framework to produce approximate Hamiltonian moments, and demonstrate its application in various linear algebra algorithms for ground state estimation. Through numerical examples, we illustrate the difference between the ground-state energies arising from quantum many-body linear algebra and those from the analogous many-body perturbation theory. Our results support the general idea of designing quantum many-body approximations outside of perturbation theory, providing a route to new algorithms and approximations. |
| title | Quantum Many-Body Linear Algebra, Hamiltonian Moments, and a Coupled Cluster Inspired Framework |
| topic | Chemical Physics Strongly Correlated Electrons Quantum Physics |
| url | https://arxiv.org/abs/2503.22908 |