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Abstract: On the basis of linear programming, new sets of entanglement witnesses EWsfor 3x3 and 4x4 systems are constructed. In both cases, the constructed EWscorrespond to the hyperplanes contacting, without intersecting, the relatedfeasible regions at line segments and restricted planes respectively. Due tothe special property of the contacting area between the hyper-planes and thefeasible regions, the corresponding hyper-planes can be turned around thecontacting area throughout a bounded interval and hence create an infinitenumber of EWs. As these EWs are able to detect entanglement of some PPT states,they are non-decomposable nd-EWs.



Author: M. A. Jafarizadeh, N. Behzadi, Y. Akbari

Source: https://arxiv.org/







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