Novel Trotter formulas for digital quantum simulation
Abstract
Quantum simulation promises to address many challenges in fields ranging from quantum chemistry to material science, and high-energy physics, and could be implemented in noisy intermediate-scale quantum devices. A challenge in building good digital quantum simulators is the fidelity of the engineered dynamics given a finite set of elementary operations. Here we present a framework for optimizing the order of operations based on a geometric picture, thus abstracting from the operation details and achieving computational efficiency. Based on this geometric framework, we provide two alternative second-order Trotter expansions, one with optimal fidelity at a short time scale, and the second robust at a long time scale. Thanks to the improved fidelity at different time scale, the two expansions we introduce can form the basis for experimental-constrained digital quantum simulation.
Cite
@article{arxiv.1903.01654,
title = {Novel Trotter formulas for digital quantum simulation},
author = {Yi-Xiang Liu and Jordan Hines and Zhi Li and Ashok Ajoy and Paola Cappellaro},
journal= {arXiv preprint arXiv:1903.01654},
year = {2020}
}