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

Details Optimal classical-communication-assisted local model of n-qubit Greenberger-Horne-Zeilinger correlations Optimal classical-communication-assisted local model of n-qubit Greenberger-Horne-Zeilinger correlations

2005-03-04

arxiv.org/abs/quant-ph/0503047v2

Phys. Rev. A 72, 032305 (2005).

Physics

Quantum Physics

New version - expanded and revised to address referee comments

Scientific paper

10.1103/PhysRevA.72.032305

We present a model, motivated by the criterion of reality put forward by Einstein, Podolsky, and Rosen and supplemented by classical communication, which correctly reproduces the quantum-mechanical predictions for measurements of 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 set of measurements, demonstrating that the required communication overhead scales linearly with n. We formulate a connection between the generation of the local values utilized by our model and the stabilizer formalism, which leads us to conjecture that a generalization of this method will shed light on the content of the Gottesman-Knill theorem.

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