Pusey, Matthew Fairbairn orcid.org/0000-0002-6189-7144 (2018) Robust preparation noncontextuality inequalities in the simplest scenario. Physical Review A. 022112. ISSN 1094-1622
Abstract
Contextuality is the leading notion of nonclassicality for a single system. However, an experimental demonstration requires finding procedures that are operationally equivalent, which might seem impossible to achieve exactly. Here I focus on the simplest nontrivial case, four preparations and two tomographically complete binary measurements. Exploiting a subtle connection to the Clauser-Horne-Shimony-Holt scenario gives eight nonlinear inequalities which are together necessary and sufficient for the experimental statistics to admit a preparation noncontextual model in such a scenario. No fixed operational equivalences are required, removing a key difficulty with experimental tests of older preparation noncontextuality inequalities.
Metadata
Authors/Creators: |
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Copyright, Publisher and Additional Information: | ©2018 American Physical Society. Uploaded in accordance with the publisher’s self-archiving policy. Further copying may not be permitted; contact the publisher for details |
Dates: |
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Institution: | The University of York |
Academic Units: | The University of York > Faculty of Sciences (York) > Mathematics (York) |
Depositing User: | Pure (York) |
Date Deposited: | 04 Oct 2019 08:50 |
Last Modified: | 06 Dec 2023 13:21 |
Published Version: | https://doi.org/10.1103/PhysRevA.98.022112 |
Status: | Published |
Refereed: | Yes |
Identification Number: | https://doi.org/10.1103/PhysRevA.98.022112 |