Ms. Carola Ciaramelletti

Noise-mitigated VQE algorithm for topologically-non trivial systems

In quantum computing the Variational Quantum Eigensolver (VQE) algorithm is a versatile method for the estimation of the ground state energies of quantum systems. Its significance lies in its potential to utilize quantum hardware for solving complex problems more efficiently than classical methods. However, VQE faces significant challenges, particularly in converging to the ground state when dealing with degenerate solutions. This study focuses on two many-body physical systems: the Su-Schrieffer-Heeger (SSH) model and the Kitaev model, proposing strategies to address convergence issues within topologically non-trivial phases. Our investigation extends to the impact of simulated noise and the efficacy of noise mitigation techniques. Comparative analyses of noise-affected and noise-mitigated results are presented.