Self-testing in parallel

Self-testing allows us to determine, through classical interaction only, whether some players in a non-local game share particular quantum states. Most work on self-testing has concentrated on developing tests for small states like one pair of maximally entangled qubits, or on tests where there is a...

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Main Author: Matthew McKague
Format: Article
Language:English
Published: IOP Publishing 2016-01-01
Series:New Journal of Physics
Subjects:
Online Access:https://doi.org/10.1088/1367-2630/18/4/045013
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author Matthew McKague
author_facet Matthew McKague
author_sort Matthew McKague
collection DOAJ
description Self-testing allows us to determine, through classical interaction only, whether some players in a non-local game share particular quantum states. Most work on self-testing has concentrated on developing tests for small states like one pair of maximally entangled qubits, or on tests where there is a separate player for each qubit, as in a graph state. Here we consider the case of testing many maximally entangled pairs of qubits shared between two players. Previously such a test was shown where testing is sequential, i.e., one pair is tested at a time. Here we consider the parallel case where all pairs are tested simultaneously, giving considerably more power to dishonest players. We derive sufficient conditions for a self-test for many maximally entangled pairs of qubits shared between two players and also two constructions for self-tests where all pairs are tested simultaneously.
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spelling doaj.art-f5bf3dba3cc34848bda35c9cb32b56f82023-08-08T14:30:18ZengIOP PublishingNew Journal of Physics1367-26302016-01-0118404501310.1088/1367-2630/18/4/045013Self-testing in parallelMatthew McKagueSelf-testing allows us to determine, through classical interaction only, whether some players in a non-local game share particular quantum states. Most work on self-testing has concentrated on developing tests for small states like one pair of maximally entangled qubits, or on tests where there is a separate player for each qubit, as in a graph state. Here we consider the case of testing many maximally entangled pairs of qubits shared between two players. Previously such a test was shown where testing is sequential, i.e., one pair is tested at a time. Here we consider the parallel case where all pairs are tested simultaneously, giving considerably more power to dishonest players. We derive sufficient conditions for a self-test for many maximally entangled pairs of qubits shared between two players and also two constructions for self-tests where all pairs are tested simultaneously.https://doi.org/10.1088/1367-2630/18/4/045013self-testingdevice independencenon-local games
spellingShingle Matthew McKague
Self-testing in parallel
New Journal of Physics
self-testing
device independence
non-local games
title Self-testing in parallel
title_full Self-testing in parallel
title_fullStr Self-testing in parallel
title_full_unstemmed Self-testing in parallel
title_short Self-testing in parallel
title_sort self testing in parallel
topic self-testing
device independence
non-local games
url https://doi.org/10.1088/1367-2630/18/4/045013
work_keys_str_mv AT matthewmckague selftestinginparallel