Improved Hamiltonian simulation via a truncated Taylor series and corrections

TL;DR

This paper presents an enhanced quantum Hamiltonian simulation method using a truncated Taylor series with correction steps, achieving better accuracy and efficiency for various Hamiltonians, including quantum chemistry applications.

Contribution

The authors introduce a correction step to the truncated Taylor series approach, improving the complexity and accuracy of quantum Hamiltonian simulation.

Findings

Reduced complexity in Hamiltonian simulation

Applicable to quantum chemistry Hamiltonians

Achieved higher accuracy with fewer resources

Abstract

We describe an improved version of the quantum simulation method based on the implementation of a truncated Taylor series of the evolution operator. The idea is to add an extra step to the previously known algorithm which implements an operator that corrects the weightings of the Taylor series. This way, the desired accuracy is achieved with an improvement in the overall complexity of the algorithm. This quantum simulation method is applicable to a wide range of Hamiltonians of interest, including to quantum chemistry problems.