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arXiv · 1007.3582

Noncommutative geometrical structures of entangled quantum states

Hoshang Heydari
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Abstract

We study the noncommutative geometrical structures of quantum entangled states. We show that the space of a pure entangled state is a noncommutative space. In particular we show that by rewritten the conifold or the Segre variety we can get a $q$-deformed relation in noncommutative geometry. We generalized our construction into a multi-qubit state. We also in detail discuss the noncommutative geometrical structure of a three-qubit state.

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Hoshang Heydari. 2010-07-21. Noncommutative geometrical structures of entangled quantum states. https://doi.org/10.1007/s10773-010-0658-x

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