Journal
PHYSICAL REVIEW LETTERS
Volume 124, Issue 21, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.124.210501
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Funding
- John Templeton Foundation via the Grant Q-CAUSAL [61084]
- Serrapilheira Institute [Serra-1708-15763]
- Brazilian National Council for Scientific and Technological Development (CNPq) via the National Institute for Science and Technology on Quantum Information (INCT-IQ)
- Brazilian National Council for Scientific and Technological Development (CNPq) [423713/2016-7, 307172/2017-1, 406574/2018-9]
- Brazilian agency MEC
- Ramon y Cajal fellowship
- Spanish MINECO [QIBEQI FIS2016-80773-P, SEV-2015-0522]
- Fundacio Cellex
- Generalitat de Catalunya [SGR 1381]
- Generalitat de Catalunya (CERCA Programme)
- Brazilian agency MCTIC
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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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