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Quantum Algorithm for Linear Non-unitary Dynamics with Near-optimal Dependence on All Parameters by An, Dong; Childs, Andrew M.; Lin, Lin is a scholarly article available to read on EtoBox.

What is Quantum Algorithm for Linear Non-unitary Dynamics with Near-optimal Dependence on All Parameters about?

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.

Author

An, Dong; Childs, Andrew M.; Lin, Lin

Published

2023

Language

EN