Splitting techniques for approximating the exponential of commutators
<|reference_start|>Splitting techniques for approximating the exponential of commutators: We construct product formulas of orders 3 to 6 approximating the exponential of a commutator of two arbitrary operators in terms of the exponentials of the operators involved. The new schemes require a reduced number of exponentials and thus provide more efficient approximations than other previously published alternatives, whereas they can be still used as a starting methods of recursive procedures to increase the order of approximation.<|reference_end|>
@article{casas2024splitting,
    title={Splitting techniques for approximating the exponential of commutators},
    author={F.Casas and A. Escorihuela-Tom`as},
    journal={arXiv preprint arXiv:2407.10533},
    year={2024},
    archivePrefix={arXiv},
    eprint={2407.10533},
    primaryClass={quant-ph cs.NA math-ph math.MP math.NA}
}