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Quantum Foundations

Bell-type Inequalities for Arbitrary Non-Cyclic Networks

arXiv

Authors: Armin Tavakoli

Year

2015

Paper ID

26595

Status

Preprint

Abstract Read

~2 min

Abstract Words

106

Citations

N/A

Abstract

Bell inequalities bound the strength of classical correlations between observers measuring on a shared physical system. However, studies of physical correlations can be considered beyond the standard Bell scenario by networks of observers sharing some configuration of many independent physical systems. Here, we show how to construct Bell-type inequalities for correlations arising in any tree-structured network i.e. networks without cycles. This is achieved by an iteration procedure that in each step allows one to add a branch to the tree-structured network and construct a corresponding Bell-type inequality. We explore our inequalities in several examples, in all of which we demonstrate strong violations from quantum theory.

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Bell inequalities bound the strength of classical correlations between observers measuring on a shared physical system.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1510.05977 [2] arXiv https://arxiv.org/abs/1510.05977 [3] Publisher https://arxiv.org/abs/1510.05977

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