Weighing matrices and optical quantum computing

Details Weighing matrices and optical quantum computing Weighing matrices and optical quantum computing

2008-08-14

arxiv.org/abs/0808.2057v2

J. Phys. A: Math. Theor. 42, 065302 (2009).

Physics

Quantum Physics

17 pages, 9 figures. v2: Minor typos fixed, improved discussion

Scientific paper

10.1088/1751-8113/42/6/065302

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.

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