Weighing matrices and optical quantum computing
Steven T. Flammia, Simone Severini · Journal of Physics A Mathematical and Theoretical · 2009
Quantum 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.