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The toric code, anyons and quantum computation

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Treballs Finals de Grau de Física, Facultat de Física, Universitat de Barcelona, Curs: 2022, Tutor: Bartomeu Fiol

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The aim of this project is to study the toric code, a particular example of a system that realizes quantum computation. We explain the role of topology in determining the ground state of the system and its degeneracy, as well as the surprising fact that excitations are neither bosonic nor fermionic, but rather anyonic. As a novel result, we deduce the full spectrum of the toric code

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The toric code, anyons and quantum computation