Simulazione Variazionale Quantistica per i Modi Trasverso Magnetici delle Guide D’onda

Inglese

Variational quantum algorithms have emerged as one of the most promising techniques for achieving quantum advantage on noisy intermediate scale quantum machines. In this thesis it is proposed an innovative approach that combines VQA with the finite difference method to calculate the propagation modes of electromagnetic waves in a hollow metallic waveguide. The 2-D waveguide problem starts with Helmholtz equation later approximated as a system of linear equations which is equivalent to a Hamiltonian matrix. Simple quantum expectation values are used to express the solutions that can be efficiently evaluated on quantum hardware. The final considerations of this dissertation show the results of the simulation to demonstrate the effectiveness of the proposed method for solving complex 2-D waveguide problems. The present findings showcase the potential of VQA as a tool to work out real world problems on quantum simulators.