Reaching Agreement in Quantum Hybrid Networks

Abstract 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 measuremen...

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Autores principales:	Guodong Shi, Bo Li, Zibo Miao, Peter M. Dower, Matthew R. James
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2017
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/28ab0592a5554d68b130466e64c6a44b
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spelling	oai:doaj.org-article:28ab0592a5554d68b130466e64c6a44b2021-12-02T12:32:42ZReaching Agreement in Quantum Hybrid Networks10.1038/s41598-017-05158-72045-2322https://doaj.org/article/28ab0592a5554d68b130466e64c6a44b2017-07-01T00:00:00Zhttps://doi.org/10.1038/s41598-017-05158-7https://doaj.org/toc/2045-2322Abstract 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.Guodong ShiBo LiZibo MiaoPeter M. DowerMatthew R. JamesNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 7, Iss 1, Pp 1-9 (2017)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Guodong Shi Bo Li Zibo Miao Peter M. Dower Matthew R. James Reaching Agreement in Quantum Hybrid Networks
description	Abstract 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.
format	article
author	Guodong Shi Bo Li Zibo Miao Peter M. Dower Matthew R. James
author_facet	Guodong Shi Bo Li Zibo Miao Peter M. Dower Matthew R. James
author_sort	Guodong Shi
title	Reaching Agreement in Quantum Hybrid Networks
title_short	Reaching Agreement in Quantum Hybrid Networks
title_full	Reaching Agreement in Quantum Hybrid Networks
title_fullStr	Reaching Agreement in Quantum Hybrid Networks
title_full_unstemmed	Reaching Agreement in Quantum Hybrid Networks
title_sort	reaching agreement in quantum hybrid networks
publisher	Nature Portfolio
publishDate	2017
url	https://doaj.org/article/28ab0592a5554d68b130466e64c6a44b
work_keys_str_mv	AT guodongshi reachingagreementinquantumhybridnetworks AT boli reachingagreementinquantumhybridnetworks AT zibomiao reachingagreementinquantumhybridnetworks AT petermdower reachingagreementinquantumhybridnetworks AT matthewrjames reachingagreementinquantumhybridnetworks
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Reaching Agreement in Quantum Hybrid Networks

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