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...
Main Author: | |
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Format: | Article |
Language: | English |
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IOP Publishing
2016-01-01
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Series: | New Journal of Physics |
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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. |
first_indexed | 2024-03-12T16:42:02Z |
format | Article |
id | doaj.art-f5bf3dba3cc34848bda35c9cb32b56f8 |
institution | Directory Open Access Journal |
issn | 1367-2630 |
language | English |
last_indexed | 2024-03-12T16:42:02Z |
publishDate | 2016-01-01 |
publisher | IOP Publishing |
record_format | Article |
series | New Journal of Physics |
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 |