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

Barrett, Jonathan and Caves, Carlton M. and Eastin, Bryan and Elliott, Matthew B. and Pironio, Stefano (2007) Modeling Pauli measurements on graph states with nearest-neighbor classical communication. Physical Review A, 75 (1). Art. No. 012103. ISSN 1050-2947. doi:10.1103/PhysRevA.75.012103.

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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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Additional Information:©2007 The American Physical Society. (Received 6 March 2006; revised 5 September 2006; published 8 January 2007) Research at the Perimeter Institute was supported in part by the Government of Canada through NSERC and by the Province of Ontario through MEDT. C.M.C., B.E., and M.B.E. are partly supported by Army Research Office Contract No. W911NF-04-1-0242. S.P. acknowledges support by the Belgian American Educational Foundation, by the National Science Foundation under Grant No. EIA-0086038, and by the EU project QIP.
Subject Keywords:quantum theory; quantum communication; information theory; protocols; mathematical operators; graph theory
Issue or Number:1
Record Number:CaltechAUTHORS:BARpra07
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:7172
Deposited By: Archive Administrator
Deposited On:13 Jan 2007
Last Modified:08 Nov 2021 20:40

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