Nonlocality of cluster states of qubits

Preprint

25 April 2005

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.quant-ph/0405119

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.

Keywords

INVESTIGATE CLUSTER
STATES OF QUBITS
CLUSTER STATES
NONLOCALITY
INEQUALITY
VIOLATED
LATTICES

All Related Versions

Version 1, 2004-05-20, ArXiv
Version 2, 2005-04-25, ArXiv
Published version: Physical Review A, 71 (4), 042325.

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