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Title: Device-independent dimension test in a multiparty Bell experiment
Authors: Wei, Zhaohui
Sikora, Jamie
Keywords: Dimension Test
Device Independence
Issue Date: 2019
Source: Wei, Z., & Sikora, J. (2019). Device-independent dimension test in a multiparty Bell experiment. New Journal of Physics, 21(4), 043021-. doi:10.1088/1367-2630/ab1514
Series/Report no.: New Journal of Physics
Abstract: A device-independent dimension test for a Bell experiment aims to estimate the underlying Hilbert space dimension that is required to produce given measurement statistical data without any other assumptions concerning the quantum apparatus. Previous work mostly deals with the two-party version of this problem. In this paper, we propose a very general and robust approach to test the dimension of any subsystem in a multiparty Bell experiment. Our dimension test stems from the study of a new multiparty scenario which we call prepare-and-distribute. This is like the prepare-and-measure scenario, but the quantum state is sent to multiple, noncommunicating parties. Through specific examples, we show that our test results can be tight. Furthermore, we compare the performance of our test to results based on known bipartite tests, and witness remarkable advantages, which indicates that our test is of a true multiparty nature. We conclude by pointing out that with some partial information about the quantum states involved in the experiment, it is possible to learn other interesting properties beyond dimension.
ISSN: 1367-2630
DOI: 10.1088/1367-2630/ab1514
Rights: © 2019 The Author(s). Published by IOP Publishing Ltd on behalf of the Institute of Physics and Deutsche Physikalische Gesellschaft. Original content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.
Fulltext Permission: open
Fulltext Availability: With Fulltext
Appears in Collections:EEE Journal Articles

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