Abstract

I will discuss a novel quantum algorithm for simulating the dynamics of general time-dependent as well as time-independent Hamiltonian systems. Our technique is based on a power series expansion of the time-evolution operator in its off-diagonal terms. The expansion decouples the dynamics due to the diagonal component of the Hamiltonian from the dynamics generated by its off-diagonal part, which is then encoded using the linear combination of unitaries technique. Our method has an optimal dependence on the desired precision and, as I will argue, generally requires considerably fewer resources than existing schemes. Joint work with Amir Kalev and Yi-Hsiang Chen.

Date

2023

Authors

Itay Hen

Conference

2023 IEEE International Parallel and Distributed Processing Symposium Workshops (IPDPSW)

Pages

498-498

Publisher

IEEE