Robust preparation noncontextuality inequalities in the simplest scenario

Matthew Fairbairn Pusey

doi:10.1103/PhysRevA.98.022112

Robust preparation noncontextuality inequalities in the simplest scenario

Matthew Fairbairn Pusey

Mathematics

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Article number	022112
Number of pages	8
Journal	Physical Review A
Volume	98
DOIs	https://doi.org/10.1103/PhysRevA.98.022112
Publication status	Published - 7 Aug 2018

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10.1103/PhysRevA.98.022112

PhysRevA.98.022112
©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
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Cite this

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