English

Noncommutative geometrical structures of entangled quantum states

Quantum Physics 2015-05-19 v1 Mathematical Physics math.MP

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 qq-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.

Keywords

Cite

@article{arxiv.1007.3582,
  title  = {Noncommutative geometrical structures of entangled quantum states},
  author = {Hoshang Heydari},
  journal= {arXiv preprint arXiv:1007.3582},
  year   = {2015}
}

Comments

7 pages

R2 v1 2026-06-21T15:50:48.674Z