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One of the problems concerning entanglement witnesses (EWs) is theconstruction of them by a given set of operators. Here several multi-qubit EWscalled stabilizer EWs are constructed by using the stabilizer operators of somegiven multi-qubit states such as GHZ, cluster and exceptional states. Thegeneral approach to manipulate the multi-qubit stabilizer EWs byexact(approximate) linear programming (LP) method is described and it is shownthat the Clifford group play a crucial role in finding the hyper-planesencircling the feasible region. The optimality, decomposability andnon-decomposability of constructed stabilizer EWs are discussed.

the european physical journal. d, atomic, molecular and optical physics/the european physical journal. d, atomic, molecular, optical and plasma physics

Multi-qubit stabilizer and cluster entanglement witnesses