Experimental Determination of Multi-Qubit Ground State via a Cluster Mean-Field Algorithm

• URL: http://arxiv.org/abs/2110.00941v1
• Date: Sun, 3 Oct 2021 07:12:45 GMT
• Title: Experimental Determination of Multi-Qubit Ground State via a Cluster Mean-Field Algorithm
• Authors: Ze Zhan, Chongxin Run, Zhiwen Zong, Liang Xiang, Ying Fei, Wenyan Jin, Zhilong Jia, Peng Duan, Jianlan Wu, Yi Yin, and Guoping Guo
• Abstract summary: A quantum eigensolver is designed under a multi-layer cluster mean-field algorithm. The method is numerically verified in multi-spin chains and experimentally studied in a fully-connected three-spin network.
• Score: 1.9790421227325208
• License: http://creativecommons.org/licenses/by/4.0/
• 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.

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