2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/219009Quantum computation in the one-way model requires the preparation of certain resource states known as cluster states. We describe how the construction of continuous-variable cluster states for optical quantum computing relate to the existence of certain families of matrices. The relevant matrices are known as weighing matrices, with a few additional constraints. We prove some results regarding the structure of these matrices, and their associated graphs.17 pages, 9 figures. v2: Minor typos fixed, improved discussionQuantum PhysicsCombinatoricstext