Quantum simulation of complex quantum systems and their properties often requires the ability to prepare initial states in an eigenstate of the Hamiltonian to be simulated. In addition, to compute the eigenvalues of a Hamiltonian is in general a non-trivial problem. Here, we propose a hybrid quantum-classical probabilistic method to compute eigenvalues and prepare eigenstates of Hamiltonians which are simulatable with a trapped-ion quantum processor.
@article{arxiv.1809.10435,
title = {Probabilistic Eigensolver with a Trapped-Ion Quantum Processor},
author = {Jing-Ning Zhang and Iñigo Arrazola and Jorge Casanova and Lucas Lamata and Kihwan Kim and Enrique Solano},
journal= {arXiv preprint arXiv:1809.10435},
year = {2020}
}