dorsal/arxiv
View SchemaModeling Pauli measurements on graph states with nearest-neighbor classical communication
| Authors | Jonathan Barrett, Carlton M. Caves, Bryan Eastin, Matthew B. Elliott, Stefano Pironio |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0603032 |
| URL | https://arxiv.org/abs/quant-ph/0603032 |
| DOI | 10.1103/PhysRevA.75.012103 |
| Journal | Phys. Rev. A 75, 012103 (2007) |
Abstract
We propose a communication-assisted local-hidden-variable model that yields the correct outcome for the measurement of any product of Pauli operators on an arbitrary graph state, i.e., that yields the correct global correlation among the individual measurements in the Pauli product. Within this model, communication is restricted to a single round of message passing between adjacent nodes of the graph. We show that any model sharing some general properties with our own is incapable, for at least some graph states, of reproducing the expected correlations among all subsets of the individual measurements. The ability to reproduce all such correlations is found to depend on both the communication distance and the symmetries of the communication protocol.
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"abstract": "We propose a communication-assisted local-hidden-variable model that yields\nthe correct outcome for the measurement of any product of Pauli operators on an\narbitrary graph state, i.e., that yields the correct global correlation among\nthe individual measurements in the Pauli product. Within this model,\ncommunication is restricted to a single round of message passing between\nadjacent nodes of the graph. We show that any model sharing some general\nproperties with our own is incapable, for at least some graph states, of\nreproducing the expected correlations among all subsets of the individual\nmeasurements. The ability to reproduce all such correlations is found to depend\non both the communication distance and the symmetries of the communication\nprotocol.",
"arxiv_id": "quant-ph/0603032",
"authors": [
"Jonathan Barrett",
"Carlton M. Caves",
"Bryan Eastin",
"Matthew B. Elliott",
"Stefano Pironio"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.75.012103",
"journal_ref": "Phys. Rev. A 75, 012103 (2007)",
"title": "Modeling Pauli measurements on graph states with nearest-neighbor classical communication",
"url": "https://arxiv.org/abs/quant-ph/0603032"
},
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