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Reaching Agreement in Quantum Hybrid Networks
Shi, Guodong1; Li, Bo2; Miao, Zibo3; Dower, Peter M.3; James, Matthew R.1
2017-07-20
发表期刊SCIENTIFIC REPORTS
ISSN2045-2322
卷号7页码:9
摘要We consider a basic quantum hybrid network model consisting of a number of nodes each holding a qubit, for which the aim is to drive the network to a consensus in the sense that all qubits reach a common state. Projective measurements are applied serving as control means, and the measurement results are exchanged among the nodes via classical communication channels. In this way the quantum-opeartion/classical-communication nature of hybrid quantum networks is captured, although coherent states and joint operations are not taken into consideration in order to facilitate a clear and explicit analysis. We show how to carry out centralized optimal path planning for this network with all-to-all classical communications, in which case the problem becomes a stochastic optimal control problem with a continuous action space. To overcome the computation and communication obstacles facing the centralized solutions, we also develop a distributed Pairwise Qubit Projection (PQP) algorithm, where pairs of nodes meet at a given time and respectively perform measurements at their geometric average. We show that the qubit states are driven to a consensus almost surely along the proposed PQP algorithm, and that the expected qubit density operators converge to the average of the network's initial values.
DOI10.1038/s41598-017-05158-7
语种英语
资助项目National Natural Science Foundation of China (NSFC)[11301518] ; National Center for Mathematics and Interdisciplinary Sciences, Chinese Academy of Sciences
WOS研究方向Science & Technology - Other Topics
WOS类目Multidisciplinary Sciences
WOS记录号WOS:000405907800043
出版者NATURE PUBLISHING GROUP
引用统计
文献类型期刊论文
条目标识符http://ir.amss.ac.cn/handle/2S8OKBNM/26313
专题系统科学研究所
通讯作者Shi, Guodong; Li, Bo
作者单位1.Australian Natl Univ, Res Sch Engn, Canberra, ACT 0200, Australia
2.Chinese Acad Sci, Key Lab Math Mechanizat, Beijing 100190, Peoples R China
3.Univ Melbourne, Dept Elect & Elect Engn, Parkville, Vic 3010, Australia
推荐引用方式
GB/T 7714
Shi, Guodong,Li, Bo,Miao, Zibo,et al. Reaching Agreement in Quantum Hybrid Networks[J]. SCIENTIFIC REPORTS,2017,7:9.
APA Shi, Guodong,Li, Bo,Miao, Zibo,Dower, Peter M.,&James, Matthew R..(2017).Reaching Agreement in Quantum Hybrid Networks.SCIENTIFIC REPORTS,7,9.
MLA Shi, Guodong,et al."Reaching Agreement in Quantum Hybrid Networks".SCIENTIFIC REPORTS 7(2017):9.
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