Noncommutative Geometrical Structures of Multi-Qubit Entangled States

Heydari, Hoshang
May 2011
International Journal of Theoretical Physics;May2011, Vol. 50 Issue 5, p1486
Academic Journal
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 rewriting the coordinate ring of a 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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