Correlation tensor criteria for genuine multiqubit entanglement

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.

8 pages, 1 figure, journal version

References in corpus (4)

• Entanglement detection
• Taming multiparticle entanglement
• Partial separability and entanglement criteria for multiqubit quantum states
• Discriminating multi-partite entangled states

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