Nonlocality of cluster states of qubits
- 18 April 2005
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 71 (4) , 042325
- https://doi.org/10.1103/physreva.71.042325
Abstract
We investigate cluster states of qubits with respect to their nonlocal 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 Bell inequality that is maximally violated by the four-qubit cluster state and is not violated by the four-qubit GHZ state.Keywords
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