Percolação na Internet Quântica
The area of Network Science has drawn huge attention from the scientific community due to its importance and interdisciplinary, promoting the integration of several other fields of knowledge. This is mainly because this area allows us to simulate real systems and formulate theoretical models abou...
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| Formato: | Dissertação |
| Idioma: | pt_BR |
| Publicado em: |
Universidade Federal do Rio Grande do Norte
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| Endereço do item: | https://repositorio.ufrn.br/handle/123456789/49024 |
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| Resumo: | The area of Network Science has drawn huge attention from the scientific community
due to its importance and interdisciplinary, promoting the integration of several other fields of
knowledge. This is mainly because this area allows us to simulate real systems and formulate
theoretical models about a wide range of phenomena. The Quantum Internet is included in a
series of potential new applications called Quantum Technologies 2.0. This type of technology,
in theory, will revolutionize the way we communicate. In principle, the Quantum Internet is
grounded on the conjecture of distributing entanglement between the sites that constitute it to
perform tasks that are impossible using the current Internet. This work provides a statistical
analysis of the Quantum Internet network through the Percolation Theory. Percolation theory
allows a simple and sophisticated description of a transition phase based on an order parameter.
This dissertation begins with a general presentation of Network Theory and Percolation Theory
concepts and foundations, where our study is ruled. Then, we reproduce the Quantum Internet
model through optical fibers (OFBQI) for = 0.0002, where is the density of sites in the
network. Combining the concepts studied and the OFBQI model, we investigated the point at
which a transition phase from the percolating network to a disconnected network occurs. We
use as an order parameter the relative size of the largest percolating cluster, = / ,
is the size of the largest connected component (a subgraph) and is the size of the network.
We show, through the Binder cumulative, that the fraction of sites removed that completely
disconnects the network occurs in = 0.659, which turns out to be independent of the size
of the system. Finally, we find the critical percolation exponents , , , , and the fractal
dimension of the percolating cluster for the Quantum Internet. |
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