



@article {3402,
	title = {Quantum algorithm for linear non-unitary dynamics with near-optimal dependence on all parameters},
	year = {2023},
	month = {12/6/2023},
	abstract = {<p>We introduce a family of identities that express general linear non-unitary evolution operators as a linear combination of unitary evolution operators, each solving a Hamiltonian simulation problem. This formulation can exponentially enhance the accuracy of the recently introduced linear combination of Hamiltonian simulation (LCHS) method [An, Liu, and Lin, Physical Review Letters, 2023]. For the first time, this approach enables quantum algorithms to solve linear differential equations with both optimal state preparation cost and near-optimal scaling in matrix queries on all parameters.</p>},
	url = {https://arxiv.org/abs/2312.03916},
	author = {Dong An and Andrew M. Childs and Lin Lin}
}
