English

Three-qubit entanglement witnesses with the full spanning properties

Quantum Physics 2016-03-22 v1

Abstract

We construct three-qubit entanglement witnesses with the properties that all the partial transposes have the spanning properties. These witnesses determine faces for separable states whose interior lies in the interior of PPT states, and so they detect sets of PPT entangled states with nonempty interiors. These witnesses also detect all kinds of bi-separable pure product states. Our construction depends on the observation that multi-partite entanglement witnesses correspond to multi-linear maps which are positive.

Keywords

Cite

@article{arxiv.1501.00768,
  title  = {Three-qubit entanglement witnesses with the full spanning properties},
  author = {Seung-Hyeok Kye},
  journal= {arXiv preprint arXiv:1501.00768},
  year   = {2016}
}

Comments

10 pages, 2 figures