文献类型：期刊文献

英文题名：Distributed Partial Quantum Consensus of Qubit Networks With Connected Topologies

作者：Jin, Xin[1,2];Cao, Zhu[1];Tang, Yang[1];Kurths, Jurgen[3,4]

机构：[1]East China Univ Sci & Technol, Key Lab Smart Mfg Energy Chem Proc, Minist Educ, Shanghai 200237, Peoples R China;[2]Fudan Univ, Res Inst Intelligent Complex Syst, Shanghai 200433, Peoples R China;[3]Potsdam Inst Climate Impact Res, Dept Complex Sci, D-14473 Potsdam, Germany;[4]Humboldt Univ, Inst Phys, D-12489 Berlin, Germany

年份：2024

卷号：54

期号：9

起止页码：4986

外文期刊名：IEEE TRANSACTIONS ON CYBERNETICS

收录：;EI(收录号：20240915652994);WOS:【SCI-EXPANDED(收录号:WOS:001173114700001)】；

基金：No Statement Available

语种：英文

外文关键词：Qubit; Quantum system; Consensus protocol; Quantum state; Quantum networks; Laplace equations; Symmetric matrices; Connected graphs; consensus; quantum system; qubit network

摘要：In this article, we consider the partial quantum consensus problem of a qubit network in a distributed view. The local quantum operation is designed based on the Hamiltonian by using the local information of each quantum system in a network of qubits. We construct the unitary transformation for each quantum system to achieve the partial quantum consensus, that is, the directions of the quantum states in the Bloch ball will reach an agreement. A simple case of two-qubit quantum systems is considered first, and a minimum completing time of reaching partial consensus is obtained based on the geometric configuration of each qubit. Furthermore, we extend the approaches to deal with the more general N -qubit networks. Two partial quantum consensus protocols, based on the Lyapunov method for chain graphs and the geometry method for connected graphs, are proposed. The geometry method can be utilized to deal with more general connected graphs, while for the Lyapunov method, the global consensus can be obtained. The numerical simulation over a qubit network is demonstrated to verify the validity and the effectiveness of the theoretical results.