Rojo Francàs, AbelJuliá-Díaz, BrunoDomínguez Navarro, Marta2024-10-022024-10-022024-06https://hdl.handle.net/2445/215538Treballs Finals de Grau de Física, Facultat de Física, Universitat de Barcelona, Curs: 2024, Tutors: Abel Rojo Francàs, Bruno Juliá DíazThis work is based on replicating the results achieved in the paper ”Exact Ising Model Simulation on a quantum computer” by Alba Cervera-Lierta et al. (2018) and comparing them with the ones given by current quantum machines. First, we present a way to analytically diagonalize the onedimensional Ising Hamiltonian. Next, we create a quantum circuit that diagonalizes the Hamiltonian and simulates its eigenstates. Furthermore, thanks to the Ising model being solvable, the circuit can serve as a benchmark for evaluating the reliability of quantum machines. Through the application of this circuit, we have obtained the energy spectrum and ground state magnetization of the onedimensional Ising Model.6 p.application/pdfengcc-by-nc-nd (c) Domínguez, 2024http://creativecommons.org/licenses/by-nc-nd/3.0/es/Model d'IsingOrdinadors quànticsTreballs de fi de grauIsing modelQuantum computersBachelor's thesesinfo:eu-repo/semantics/bachelorThesisinfo:eu-repo/semantics/openAccess