dorsal/arxiv
View SchemaOptimal classical-communication-assisted local model of n-qubit Greenberger-Horne-Zeilinger correlations
| Authors | Tracey E. Tessier, Carlton M. Caves, Ivan H. Deutsch, Dave Bacon, Bryan Eastin |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0503047 |
| URL | https://arxiv.org/abs/quant-ph/0503047 |
| DOI | 10.1103/PhysRevA.72.032305 |
| Journal | Phys. Rev. A 72, 032305 (2005). |
Abstract
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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"abstract": "We present a model, motivated by the criterion of reality put forward by\nEinstein, Podolsky, and Rosen and supplemented by classical communication,\nwhich correctly reproduces the quantum-mechanical predictions for measurements\nof all products of Pauli operators on an n-qubit GHZ state (or ``cat state\u0027\u0027).\nThe n-2 bits employed by our model are shown to be optimal for the allowed set\nof measurements, demonstrating that the required communication overhead scales\nlinearly with n. We formulate a connection between the generation of the local\nvalues utilized by our model and the stabilizer formalism, which leads us to\nconjecture that a generalization of this method will shed light on the content\nof the Gottesman-Knill theorem.",
"arxiv_id": "quant-ph/0503047",
"authors": [
"Tracey E. Tessier",
"Carlton M. Caves",
"Ivan H. Deutsch",
"Dave Bacon",
"Bryan Eastin"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.72.032305",
"journal_ref": "Phys. Rev. A 72, 032305 (2005).",
"title": "Optimal classical-communication-assisted local model of n-qubit Greenberger-Horne-Zeilinger correlations",
"url": "https://arxiv.org/abs/quant-ph/0503047"
},
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