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arXiv · 2302.14181

Efficient higher-order matrix product operators for time evolution

Maarten Van Damme·Jutho Haegeman·Ian McCulloch·Laurens Vanderstraeten
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Abstract

We introduce a systematic construction of higher-order matrix product operator (MPO) approximations of the time evolution operator for generic (short and long range) one-dimensional Hamiltonians. We demonstrate the utility of our construction, by showing an order of magnitude speedup in simulation cost compared to conventional first-order MPO time evolution schemes.

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Maarten Van Damme, Jutho Haegeman, Ian McCulloch, Laurens Vanderstraeten. 2023-02-27. Efficient higher-order matrix product operators for time evolution. https://arxiv.org/abs/2302.14181

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