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Correlation tensor criteria for genuine multiqubit entanglement

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arxiv 1110.4108 v2 pith:OOT56NZX submitted 2011-10-18 quant-ph

Correlation tensor criteria for genuine multiqubit entanglement

classification quant-ph
keywords entanglementcriteriamultiqubitconditionscorrelationdefinegenuinegeometric
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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