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arxiv: 0904.2812 · v1 · submitted 2009-04-18 · 🪐 quant-ph

Finite Geometries with Qubit Operators

classification 🪐 quant-ph
keywords geometriescontextfiniteoperatorsalgebrasappeararisebeen
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Finite projective geometries, especially the Fano plane, have been observed to arise in the context of certain quantum gate operators. We use Clifford algebras to explain why these geometries, both planar and higher dimensional, appear in the context of multi-qubit composite systems.

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