An elegant proof of self-testing for multipartite Bell inequalities
- URL: http://arxiv.org/abs/2202.06908v1
- Date: Mon, 14 Feb 2022 18:00:50 GMT
- Title: An elegant proof of self-testing for multipartite Bell inequalities
- Authors: Ekta Panwar, Palash Pandya, Marcin Wie\'sniak
- Abstract summary: This work presents a simple and broadly applicable self-testing argument for N-partite correlation Bell inequalities with two binary outcome observables per party.
To showcase the versatility of our proof technique, we obtain self-testing statements for N party Mermin-Ardehali-Bei-Klyshko (MABK) and Werner-Wolf-Weinfurter-.Zukowski-Brukner (WWW.ZB) family of linear Bell inequalities.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: The predictions of quantum theory are incompatible with local-causal
explanations. This phenomenon is called Bell non-locality and is witnessed by
violation of Bell-inequalities. The maximal violation of certain
Bell-inequalities can only be attained in an essentially unique manner. This
feature is referred to as self-testing and constitutes the most accurate form
of certification of quantum devices. While self-testing in bipartite Bell
scenarios has been thoroughly studied, self-testing in the more complex
multipartite Bell scenarios remains largely unexplored. This work presents a
simple and broadly applicable self-testing argument for N-partite correlation
Bell inequalities with two binary outcome observables per party. Our proof
technique forms a generalization of the Mayer-Yao formulation and is not
restricted to linear Bell-inequalities, unlike the usual sum of squares method.
To showcase the versatility of our proof technique, we obtain self-testing
statements for N party Mermin-Ardehali-Belinskii-Klyshko (MABK) and
Werner-Wolf-Weinfurter-\.Zukowski-Brukner (WWW\.ZB) family of linear Bell
inequalities, and Uffink's family of N party quadratic Bell-inequalities.
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