Correlations in $$n$$ n -local scenario

Correlations in $$n$$ n -local scenario Recently Bell-type inequalities were introduced in Branciard et al. (Phys Rev A 85:032119, 2012) to analyze the correlations emerging in an entanglement swapping scenario characterized by independence of the two sources shared between three parties. The corresponding scenario was referred to as bilocal scenario. Here, we derive Bell-type inequalities in $$n+1$$ n + 1 party scenario, i.e., in $$n$$ n -local scenario. Considering the two different cases with several number of inputs and outputs, we derive local and $$n$$ n -local bounds. The $$n$$ n -local inequality studied for two cases are proved to be tight. Replacing the sources by maximally entangled states for two binary inputs and two binary outputs and also for the fixed input and four outputs, we observe quantum violations of $$n$$ n -local bounds. But the resistance offered to noise cannot be increased as compared to the bilocal scenario. Thus increasing the number of parties in a linear fashion in source-independent scenario does not contribute in lowering down the requirements of revealing quantumness in a network in contrast to the star configuration (Tavakoli et al. in Phys Rev A 90:062109, 2014) of $$n+1$$ n + 1 parties. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Quantum Information Processing Springer Journals

Correlations in $$n$$ n -local scenario

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Publisher
Springer US
Copyright
Copyright © 2015 by Springer Science+Business Media New York
Subject
Physics; Quantum Information Technology, Spintronics; Quantum Computing; Data Structures, Cryptology and Information Theory; Quantum Physics; Mathematical Physics
ISSN
1570-0755
eISSN
1573-1332
D.O.I.
10.1007/s11128-015-0971-7
Publisher site
See Article on Publisher Site

Abstract

Recently Bell-type inequalities were introduced in Branciard et al. (Phys Rev A 85:032119, 2012) to analyze the correlations emerging in an entanglement swapping scenario characterized by independence of the two sources shared between three parties. The corresponding scenario was referred to as bilocal scenario. Here, we derive Bell-type inequalities in $$n+1$$ n + 1 party scenario, i.e., in $$n$$ n -local scenario. Considering the two different cases with several number of inputs and outputs, we derive local and $$n$$ n -local bounds. The $$n$$ n -local inequality studied for two cases are proved to be tight. Replacing the sources by maximally entangled states for two binary inputs and two binary outputs and also for the fixed input and four outputs, we observe quantum violations of $$n$$ n -local bounds. But the resistance offered to noise cannot be increased as compared to the bilocal scenario. Thus increasing the number of parties in a linear fashion in source-independent scenario does not contribute in lowering down the requirements of revealing quantumness in a network in contrast to the star configuration (Tavakoli et al. in Phys Rev A 90:062109, 2014) of $$n+1$$ n + 1 parties.

Journal

Quantum Information ProcessingSpringer Journals

Published: Apr 11, 2015

References

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