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Quantum Simulation

Matrix Product Operator Encodings of the Magnus Expansion and Dyson Series

arXiv
Authors: Victor Vanthilt, Maarten Van Damme, Jutho Haegeman, Ian P. McCulloch, Laurens Vanderstraeten

Year

2026

Paper ID

63563

Status

Preprint

Abstract Read

~2 min

Abstract Words

103

Citations

0

Abstract

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.

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  • 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.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2605.21597 [2] arXiv https://arxiv.org/abs/2605.21597 [3] Publisher https://arxiv.org/abs/2605.21597

Local Citation Graph (Related-Paper Links)

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External citation index: OpenAlex citation signal • updated 2026-06-14 19:48:28

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