Banca de DEFESA: RAABE MELO DE OLIVEIRA

Uma banca de DEFESA de MESTRADO foi cadastrada pelo programa.
STUDENT : RAABE MELO DE OLIVEIRA
DATE: 06/05/2022
TIME: 09:00
LOCAL: Google Meet
TITLE:

Percolation in the Quantum Internet Network

KEY WORDS:

Quantum Internet, Complex Networks, Percolation.

PAGES: 73
BIG AREA: Ciências Exatas e da Terra
AREA: Física
SUMMARY:

The area of Network Science has drawn a lot of attention from the scientific community due to its importance and
interdisciplinary, promoting the integration of several other fields of knowledge. This is mainly due to the fact that 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 based on the conjecture of distributing
entanglement between the sites that constitute it, with the aim of performing tasks that are not possible using the current
Internet. This work provides a statistical analysis, through the Percolation Theory, of the Quantum Internet network.
Percolation theory allows a simple and sophisticated description for a phase transition based on an order parameter. In this
dissertation, we begin with a general presentation of the concepts and foundations of Network Theory and Percolation Theory,
where our study is based. Then, we reproduce the Quantum Internet model through optical fibers (OFBQI) for𝜌= 0.0002,
where𝜌is the density of sites in the network. Combining the concepts studied and the OFBQI model, we investigated the point
at which a phase transition from the percolating network to a disconnected network occurs. We use as an order parameter the
relative size of the largest percolating cluster,𝑚=𝑁𝐺/𝑁, where𝑁𝐺is the size of the largest connected component (a
sub-graph) and𝑁is the size of the network. We show, through the Binder cumulative, that the fraction of sites removed that
completely disconnects the network occurs in𝑓𝑐= 0.659, which turns out to be independent of the size of the system. Finally,
we find the critical percolation exponents𝛽,𝛾,𝜈,𝜎,𝜏and the fractal dimension of the percolating cluster𝑑𝑓for the Quantum
Internet Network.

BANKING MEMBERS:
Externo à Instituição - ERVIN KAMINSKI LENZI - UEPG
Presidente - 6346140 - LUCIANO RODRIGUES DA SILVA
Interno - 1328776 - RAFAEL CHAVES SOUTO ARAUJO
Externa à Instituição - SAMURAÍ GOMES DE AGUIAR BRITO - UFRN