Nonlocality of cluster states of qubits
Quantum Physics
2009-11-10 v2
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.
Cite
@article{arxiv.quant-ph/0405119,
title = {Nonlocality of cluster states of qubits},
author = {Valerio Scarani and Antonio Acin and Emmanuel Schenck and Markus Aspelmeyer},
journal= {arXiv preprint arXiv:quant-ph/0405119},
year = {2009}
}
Comments
5 pages; paragraph V.B contains a comparison with Guehne et al., quant-ph/0410059