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AGUDO ZAMORA IRENE.pdf (521.59 KB)

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Bachelor thesis

Publication date

2024-06

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cc-by-nc-nd (c) Agudo, 2024
Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/215500

Simulation of the Fermi-Hubbard model with shortcuts to adiabaticity

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Abstract

This thesis investigates the efficiency of the adiabatic evolution, in the context of a 1-dimensional Fermi-Hubbard system. Two equivalent methods were used: CNOTs and FSWAPs. As it is easier to write a generalised code for CNOTs, it was the method used in subsequent sections. The sources of error in quantum simulations were studied (the adiabatic and Trotteritzation errors), and it was verified that they behaved as predicted (in particular, the adiabatic error increased with a small N, and the Trotteritzation error increased with a larger δt). The optimal parameters needed to achieve the desired infidelity were also determined. Shortcuts to adiabaticity using the Counter-Diabatic Driving method are also applied, resulting in a faster evolution

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Treballs Finals de Grau de Física, Facultat de Física, Universitat de Barcelona, Curs: 2024, Tutors: Axel Pérez-Obiol, Bruno Juliá

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Computació quàntica adiabàtica, Treballs de fi de grau

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Adiabatic quantum computation, Bachelor's theses

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Treballs Finals de Grau (TFG) - Física

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AGUDO ZAMORA, Irene. Simulation of the Fermi-Hubbard model with shortcuts to adiabaticity. [consulted: 20 of August of 2026]. Available at: https://hdl.handle.net/2445/215500

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