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Correlation tensor criteria for genuine multiqubit entanglement

Quantum Physics 2015-05-30 v2

Abstract

We present a development of a geometric approach to entanglement indicators. The method is applied to detect genuine multiqubit entanglement. The criteria are given in form of non-linear conditions imposed on correlation tensors. Thus they involve directly observable quantities, and in some cases require only few specific measurements to find multiqubit entanglement. The non-linearity of each of the criteria allows detection of entanglement in wide classes of states. In contrast to entanglement witnesses, which in the space of Hermitian operators define a hyperplane, the new conditions define a geometric figure encapsulating the non-fully entangled states within it.

Keywords

Cite

@article{arxiv.1110.4108,
  title  = {Correlation tensor criteria for genuine multiqubit entanglement},
  author = {Wieslaw Laskowski and Marcin Markiewicz and Tomasz Paterek and Marek Zukowski},
  journal= {arXiv preprint arXiv:1110.4108},
  year   = {2015}
}

Comments

8 pages, 1 figure, journal version

R2 v1 2026-06-21T19:22:23.664Z