Nonlocality of cluster states of qubits

Details Nonlocality of cluster states of qubits Nonlocality of cluster states of qubits

2004-05-20

arxiv.org/abs/quant-ph/0405119v2

Phys. Rev. A 71, 042325 (2005)

Physics

Quantum Physics

5 pages; paragraph V.B contains a comparison with Guehne et al., quant-ph/0410059

Scientific paper

10.1103/PhysRevA.71.042325

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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