Classical Algorithm for the Mean Value problem over Short-Time Hamiltonian Evolutions
Quantum Physics
2023-01-30 v1
Abstract
Simulating physical systems has been an important application of classical and quantum computers. In this article we present an efficient classical algorithm for simulating time-dependent quantum mechanical Hamiltonians over constant periods of time. The algorithm presented here computes the mean value of an observable over the output state of such short-time Hamiltonian evolutions. In proving the performance of this algorithm we use Lieb-Robinson type bounds to limit the evolution of local operators within a lightcone. This allows us to divide the task of simulating a large quantum system into smaller systems that can be handled on normal classical computers.
Cite
@article{arxiv.2301.11420,
title = {Classical Algorithm for the Mean Value problem over Short-Time Hamiltonian Evolutions},
author = {Reyhaneh Aghaei Saem and Ali Hamed Moosavian},
journal= {arXiv preprint arXiv:2301.11420},
year = {2023}
}