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  • Letter
  • Open Access

Experimental determination of a multiqubit ground state via a cluster mean-field algorithm

Ze Zhan1,*, Ying Fei1,*, Chongxin Run1,*, Zhiwen Zong1, Liang Xiang1, Wenyan Jin1, Zhilong Jia2, Peng Duan2, Guoping Guo2,3,† et al.

Jianlan Wu1,‡ and Yi Yin1,§

  • 1Zhejiang Province Key Laboratory of Quantum Technology and Device, Department of Physics, Zhejiang University, Hangzhou 310027, China
  • 2Key Laboratory of Quantum Information, University of Science and Technology of China, Hefei 230026, China
  • 3Origin Quantum Computing, Hefei 230026, China

  • *These authors have contributed equally to this work.
  • †gpguo@ustc.edu.cn
  • ‡jianlanwu@zju.edu.cn
  • §yiyin@zju.edu.cn
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Phys. Rev. Research 4, L042043 – Published 8 December, 2022

DOI: https://doi.org/10.1103/PhysRevResearch.4.L042043

Abstract

A quantum eigensolver is designed under a multilayer 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 multispin chains and experimentally studied in a fully-connected three-spin network, both yielding an excellent prediction of their ground states.

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Phys. Rev. Research 4, L042043– Published 8 December, 2022
  • Received 30 August 2021
  • Revised 10 September 2022
  • Accepted 13 November 2022
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