Optimal tests of genuine multipartite nonlocality
- URL: http://arxiv.org/abs/2206.08848v1
- Date: Fri, 17 Jun 2022 15:44:14 GMT
- Title: Optimal tests of genuine multipartite nonlocality
- Authors: Mahasweta Pandit, Artur Barasinski, Istvan Marton, Tamas Vertesi,
Wieslaw Laskowski
- Abstract summary: We propose an optimal numerical test for genuine multipartite nonlocality based on linear programming.
We analyze to what extent the Bell scenario involving two measurement settings can be used to determine genuine $n$-way non-local correlations.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: We propose an optimal numerical test for genuine multipartite nonlocality
based on linear programming. In particular, we consider two non-equivalent
models of local hidden variables, namely the Svetlichny and the no-signaling
bilocal model. While our knowledge concerning these models is well established
for Bell scenarios involving two measurement settings per party, the general
case based on an arbitrary number of settings is a considerably more
challenging task and very little work has been done in this field. In this
paper, we applied such general tests to detect and characterize genuine $n$-way
nonlocal correlations for various states of three qubits and qutrits. As a
measure of nonlocality, we use the probability of violation of local realism
under randomly sampled observables, and the strength of nonlocality, described
by the resistance to white noise admixture. In particular, we analyze to what
extent the Bell scenario involving two measurement settings can be used to
determine genuine $n$-way non-local correlations generated for more general
models. In addition, we propose a simple procedure to detect genuine
multipartite nonlocality for randomly chosen settings with up to 100%
efficiency.
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