2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/89959Identifying the Bolch sphere with the Riemann sphere(the extended complex plane), we obtain relations between single qubit unitary operations and Möbius transformations on the extended complex plane.3 pages, 1 figure, revtex, title changed, minor modificationsQuantum PhysicsQubit geometry and conformal mappingtext