Weighing matrices and optical quantum computing
arXiv:0808.2057 · doi:10.1088/1751-8113/42/6/065302
Abstract
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.
17 pages, 9 figures. v2: Minor typos fixed, improved discussion
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