Quantum nonlocality of four-qubit entangled states

Abstract

Quantum nonlocality of several four-qubit states is investigated by constructing a new Bell inequality. These include the Greenberger-Zeilinger-Horne (GHZ) state, W state, cluster state, and the state $|\chi >$ that has been recently proposed in [PRL, {\bf 96}, 060502 (2006)]. The Bell inequality is optimally violated by $|\chi >$ but not violated by the GHZ state. The cluster state also violates the Bell inequality though not optimally. The state $|\chi >$ can thus be discriminated from the cluster state by using the inequality. Different aspects of four-partite entanglement are also studied by considering the usefulness of a family of four-qubit mixed states as resources for two-qubit teleportation. Our results generalize those in [PRL, {\bf 72}, 797 (1994)].

13 pages, 1 figure

References in corpus (4)

• Experimental quantum teleportation
• Teleportation and Dense Coding with Genuine Multipartite Entanglement
• Constructing N-qubit entanglement monotones from anti-linear operators
• Teleportation with a Mixed State of Four Qubits and the Generalized Singlet Fraction

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• Scalable Bell inequalities for multiqubit systems
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• Correlations, Bell Inequality Violation & Quantum Entanglement
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