Experimental violation of a cluster state Bell inequality

Abstract

Cluster states are a new type of multiqubit entangled states with entanglement properties exceptionally well suited for quantum computation. In the present work, we experimentally demonstrate that correlations in a four-qubit linear cluster state cannot be described by local realism. This exploration is based on a recently derived Bell-type inequality [V. Scarani et al., Phys. Rev A 71, 042325 (2005)] which is tailored, by using a combination of three- and four-particle correlations, to be maximally violated by cluster states but not violated at all by GHZ states. We observe a cluster state Bell parameter of $2.59\pm 0.08$, which is more than 7 standard deviations larger than the threshold of 2 imposed by local realism.

4 pages, 2 figures

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• Three qubits can be entangled in two inequivalent ways
• Persistent entanglement in arrays of interacting particles
• Experimental One-Way Quantum Computing
• Observation of three-photon Greenberger-Horne-Zeilinger entanglement
• Four qubits can be entangled in nine different ways
• Classification of mixed three-qubit states
• Bell's theorem for general N-qubit states
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