Reaching Agreement in Quantum Hybrid Networks
AuthorShi, G; Li, B; Miao, Z; Dower, PM; James, MR
Source TitleScientific Reports
PublisherNature Publishing Group
AffiliationElectrical and Electronic Engineering
Document TypeJournal Article
CitationsShi, G., Li, B., Miao, Z., Dower, P. M. & James, M. R. (2017). Reaching Agreement in Quantum Hybrid Networks. Scientific Reports, 7 (1), https://doi.org/10.1038/s41598-017-05158-7.
Access StatusOpen Access
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.
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