Modeling Pauli measurements on graph states with nearest-neighbor classical communication

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dc.creatorBarrett, Jonathan
dc.creatorCaves, Carlton M.
dc.creatorEastin, Bryan
dc.creatorElliott, Matthew B.
dc.creatorPironio, Stefano
dc.date2006-03-04
dc.date2006-08-30
dc.date.accessioned2026-07-07T08:37:27Z
dc.date.available2026-07-07T08:37:27Z
dc.descriptionWe 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.
dc.description9 pages, 2 figures. Version 2 significantly revised. Now includes a site-invariant protocol for linear chains and a proof that no limited communication protocol can correctly predict all quantum correlations for rings
dc.identifierhttps://arxiv.org/abs/quant-ph/0603032
dc.identifierhttp://arxiv.org/abs/quant-ph/0603032
dc.identifierPhys. Rev. A 75, 012103 (2007)
dc.identifierdoi:10.1103/PhysRevA.75.012103
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/140403
dc.subjectQuantum Physics
dc.titleModeling Pauli measurements on graph states with nearest-neighbor classical communication
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