Weighing matrices and optical quantum computing
Quantum Physics
2009-02-10 v2 Combinatorics
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.
Cite
@article{arxiv.0808.2057,
title = {Weighing matrices and optical quantum computing},
author = {Steven T. Flammia and Simone Severini},
journal= {arXiv preprint arXiv:0808.2057},
year = {2009}
}
Comments
17 pages, 9 figures. v2: Minor typos fixed, improved discussion