Statistical Properties of the Quantum Internet

Samuraí Brito, Askery Canabarro, Rafael Chaves, and Daniel Cavalcanti
Phys. Rev. Lett. 124, 210501 – Published 27 May 2020
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Abstract

Steady technological advances are paving the way for the implementation of the quantum internet, a network of locations interconnected by quantum channels. Here we propose a model to simulate a quantum internet based on optical fibers and employ network-theory techniques to characterize the statistical properties of the photonic networks it generates. Our model predicts a continuous phase transition between a disconnected and a highly connected phase and that the typical photonic networks do not present the small world property. We compute the critical exponents characterizing the phase transition, provide quantitative estimates for the minimum density of nodes needed to have a fully connected network and for the average distance between nodes. Our results thus provide quantitative benchmarks for the development of a quantum internet.

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  • Received 19 November 2019
  • Accepted 30 April 2020

DOI:https://doi.org/10.1103/PhysRevLett.124.210501

© 2020 American Physical Society

Physics Subject Headings (PhySH)

Quantum Information, Science & TechnologyNetworks

Authors & Affiliations

Samuraí Brito1, Askery Canabarro1,2, Rafael Chaves1,3,*, and Daniel Cavalcanti4,†

  • 1International Institute of Physics, Federal University of Rio Grande do Norte, 59070-405 Natal, Brazil
  • 2Grupo de Física da Matéria Condensada, Núcleo de Ciências Exatas—NCEx, Campus Arapiraca, Universidade Federal de Alagoas, 57309-005 Arapiraca-AL, Brazil
  • 3School of Science and Technology, Federal University of Rio Grande do Norte, 59078-970 Natal, Brazil
  • 4ICFO-Institut de Ciencies Fotoniques, The Barcelona Institute of Science and Technology, 08860 Castelldefels (Barcelona), Spain

  • *rchaves@iip.ufrn.br
  • daniel.cavalcanti@icfo.eu

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Issue

Vol. 124, Iss. 21 — 29 May 2020

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