2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/109325We give a mathematical proof for an identification criterion by a probability measure for the ground state among an infinite number of available states, or a finitely truncated number with appropriate boundary conditions, in a quantum adiabatic algorithm for Hilbert's tenth problem.5 pages, no figureQuantum Physicstext