Identification of three-qubit entanglement

Abstract

We present a way of 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 cases. 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 the quantum state with positive partial transpositions, and the other is able to detect genuine entanglement. The results give an effective method for experimental entanglement identification.

5 pages, 2 figures

References in corpus (6)

• Entanglement detection
• Taming multiparticle entanglement
• All entangled pure states violate a single Bell's inequality
• Discriminating multi-partite entangled states
• Experimentally implementable criteria revealing substructures of genuine multipartite entanglement
• Inequalities Detecting Quantum Entanglement for $2\otimes d$ Systems

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