Noncommutative geometrical structures of entangled quantum states

Details Noncommutative geometrical structures of entangled quantum states Noncommutative geometrical structures of entangled quantum states

2010-07-21

arxiv.org/abs/1007.3582v1

International Journal of Theoretical Physics, 2011, Volume 50, Number 5, Pages 1486-1492

Physics

Quantum Physics

7 pages

Scientific paper

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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