Weighing matrices and optical quantum computing

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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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Quantum Physics, Combinatorics

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http://salesiana.dossiersoluciones.com/handle/123456789/219009

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0808.2057
 http://arxiv.org/abs/0808.2057
 J. Phys. A: Math. Theor. 42, 065302 (2009).
 doi:10.1088/1751-8113/42/6/065302

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arXiv