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Identification of three-qubit entanglement
Ming-Jing Zhao, Ting-Gui Zhang, Xianqing Li-Jost and Shao-Ming Fei
We present a way in identifying all kinds of entanglement for three-qubit pure states in terms of the expectation values of Pauli operators. The necessary and sufficient conditions to classify the fully separable, biseparable and genuine entangled states are explicitly given. The approach can be generalized to multipartite high dimensional case. For three-qubit mixed states, we propose two kinds of inequalities in terms of the expectation values of complementary observables. One inequality has advantages in entanglement detection of quantum state with positive partial transpositions and the other is able to detect genuine entanglement. The results give an effective way in experimental entanglement identification.