Experimental Determination of Multi-Qubit Ground State via a Cluster Mean-Field Algorithm
Quantum Physics
2021-10-05 v1
Abstract
A quantum eigensolver is designed under a multi-layer cluster mean-field (CMF) algorithm by partitioning a quantum system into spatially-separated clusters. For each cluster, a reduced Hamiltonian is obtained after a partial average over its environment cluster. The products of eigenstates from different clusters construct a compressed Hilbert space, in which an effective Hamiltonian is diagonalized to determine certain eigenstates of the whole Hamiltonian. The CMF method is numerically verified in multi-spin chains and experimentally studied in a fully-connected three-spin network, both yielding an excellent prediction of their ground states.
Cite
@article{arxiv.2110.00941,
title = {Experimental Determination of Multi-Qubit Ground State via a Cluster Mean-Field Algorithm},
author = {Ze Zhan and Chongxin Run and Zhiwen Zong and Liang Xiang and Ying Fei and Wenyan Jin and Zhilong Jia and Peng Duan and Jianlan Wu and Yi Yin and Guoping Guo},
journal= {arXiv preprint arXiv:2110.00941},
year = {2021}
}