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Nonlocality of cluster states of qubits

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arxiv quant-ph/0405119 v2 pith:4BLGS5QI submitted 2004-05-20 quant-ph

classification quant-ph
keywords clusterstatequbitsholdsqubitstatesviolatedaddition
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We investigate cluster states of qubits with respect to their non-local properties. We demonstrate that a Greenberger-Horne-Zeilinger (GHZ) argument holds for any cluster state: more precisely, it holds for any partial, thence mixed, state of a small number of connected qubits (five, in the case of one-dimensional lattices). In addition, we derive a new Bell inequality that is maximally violated by the 4-qubit cluster state and is not violated by the 4-qubit GHZ state.

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