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Ising Model and Spin Glasses

Cornia, Francesco (2022) Ising Model and Spin Glasses. Bachelor's Thesis, Mathematics.

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Abstract

The Ising model is a statistical model that can be used to describe the energy of a system of atoms arranged on a lattice, where the interaction between these atoms is governed by the interaction among their spin and a possible external magnetic field. This model and some more complicated version of it can then be used to described the behavior of spin glasses. These are systems where the spin of the atoms is randomly oriented in space. The study of spin glasses has brought new techniques to solve combinatorial optimization problems and we will see and example of how to do so, by looking at the Travelling Salesman Problem. We will then look at how these problems can be solved both classically and the aid of a quantum computer. We will conclude by giving a brief explanation of what quantum computers are, how they differ from the classical ones, their potential and current prediction for the future developments.

Item Type: Thesis (Bachelor's Thesis)
Supervisor name: Trapman, J.P. and Pallante, E.
Degree programme: Mathematics
Thesis type: Bachelor's Thesis
Language: English
Date Deposited: 28 Jul 2022 11:59
Last Modified: 17 Aug 2023 15:18
URI: https://fse.studenttheses.ub.rug.nl/id/eprint/27961

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