2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/93854We study 1-way quantum finite automata (QFAs) and compare them with their classical counterparts. We show that 1-way QFAs can be very space efficient. We construct a 1-way QFAs that are quadratically smaller than any equivalent deterministic finite automata and give the correct answer with a large probability by recognizing the languages in a two letter alphabet "the number of the letters a and the number of the letters b are divisible by n".7 pages, LATEX, uses article.styQuantum Physicstext