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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2605.21597 |
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| _version_ | 1866911703358242816 |
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| author | Vanthilt, Victor Van Damme, Maarten Haegeman, Jutho McCulloch, Ian P. Vanderstraeten, Laurens |
| author_facet | Vanthilt, Victor Van Damme, Maarten Haegeman, Jutho McCulloch, Ian P. Vanderstraeten, Laurens |
| contents | We introduce a matrix product operator (MPO) encoding of the Magnus expansion and the Dyson series for one-dimensional quantum lattice models with time-dependent Hamiltonians. The MPO construction can be made accurate up to arbitrary order in the time step, it can be applied to both finite and infinite systems, and it can handle long-range interactions. The resulting MPO can be combined with state-of-the-art time evolution algorithms based on matrix product states, allowing for drastic improvements in simulating evolution under time-dependent Hamiltonians. Our MPO construction can also be used for the optimization of quantum circuits in the context of quantum simulation of time-dependent Hamiltonians. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_21597 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Matrix Product Operator Encodings of the Magnus Expansion and Dyson Series Vanthilt, Victor Van Damme, Maarten Haegeman, Jutho McCulloch, Ian P. Vanderstraeten, Laurens Quantum Physics Strongly Correlated Electrons We introduce a matrix product operator (MPO) encoding of the Magnus expansion and the Dyson series for one-dimensional quantum lattice models with time-dependent Hamiltonians. The MPO construction can be made accurate up to arbitrary order in the time step, it can be applied to both finite and infinite systems, and it can handle long-range interactions. The resulting MPO can be combined with state-of-the-art time evolution algorithms based on matrix product states, allowing for drastic improvements in simulating evolution under time-dependent Hamiltonians. Our MPO construction can also be used for the optimization of quantum circuits in the context of quantum simulation of time-dependent Hamiltonians. |
| title | Matrix Product Operator Encodings of the Magnus Expansion and Dyson Series |
| topic | Quantum Physics Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2605.21597 |