Multi-qubit stabilizer and cluster entanglement witnesses

Details Multi-qubit stabilizer and cluster entanglement witnesses Multi-qubit stabilizer and cluster entanglement witnesses

2007-04-18

arxiv.org/abs/0704.2414v2

Physics

Quantum Physics

57 pages, 2 figures

Scientific paper

10.1140/epjd/e2008-00028-0

One of the problems concerning entanglement witnesses (EWs) is the construction of them by a given set of operators. Here several multi-qubit EWs called stabilizer EWs are constructed by using the stabilizer operators of some given multi-qubit states such as GHZ, cluster and exceptional states. The general approach to manipulate the multi-qubit stabilizer EWs by exact(approximate) linear programming (LP) method is described and it is shown that the Clifford group play a crucial role in finding the hyper-planes encircling the feasible region. The optimality, decomposability and non-decomposability of constructed stabilizer EWs are discussed.

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