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We present a model, motivated by the criterion of reality put forward byEinstein, Podolsky, and Rosen and supplemented by classical communication,which correctly reproduces the quantum-mechanical predictions for measurementsof all products of Pauli operators on an n-qubit GHZ state (or ``cat state'').The n-2 bits employed by our model are shown to be optimal for the allowed setof measurements, demonstrating that the required communication overhead scaleslinearly with n. We formulate a connection between the generation of the localvalues utilized by our model and the stabilizer formalism, which leads us toconjecture that a generalization of this method will shed light on the contentof the Gottesman-Knill theorem.Comment: New version - expanded and revised to address referee comment

physical review. a, atomic, molecular, and optical physics/physical review, a, atomic, molecular, and optical physics

Optimal classical-communication-assisted local model of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>n</mml:mi></mml:math>-qubit Greenberger-Horne-Zeilinger correlations

Optimal classical-communication-assisted local model ofn-qubit Greenberger-Horne-Zeilinger correlations