2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/226740We investigate the question if quantum algorithms exist that compute the maximum of a set of conjugated elements of a given number field in quantum polynomial time. We will relate the existence of these algorithms for a certain family of number fields to an open conjecture from elementary number theory.6 pagesQuantum PhysicsOn the Existence of certain Quantum Algorithmstext