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Cluster states are multi-particle entangled states with special entanglementproperties particularly suitable for quantum computation. It has been shownthat cluster states can exhibit Greenberger-Horne-Zeilinger (GHZ)-typenon-locality even when some of their qubits have been lost. In the presentwork, we generated a four-photon mixed state, which is equivalent to thepartial, qubit-loss state of an N-qubit cluster state up to some localtransformations. By using this mixed state, we then realize a GHZ-typeviolation of local realism. Our results not only demonstrate a mixed state'sGHZ-type non-locality but also exhibit the robustness of cluster states underqubit-loss conditions.

Greenberger-Horne-Zeilinger-type violation of local realism by mixed states