Nonlocality of cluster states of qubits
arXiv:quant-ph/0405119 · doi:10.1103/PhysRevA.71.042325
Abstract
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.
5 pages; paragraph V.B contains a comparison with Guehne et al., quant-ph/0410059