Scalable Bell inequalities for multiqubit systems
Ying-Qiu He, Dong Ding, Feng-Li Yan, Ting Gao
TL;DR
This paper introduces scalable, experimentally friendly Bell inequalities for multiqubit systems, deriving compact Mermin-type inequalities and exploring their quantum violations and relationships with entanglement.
Contribution
It presents a new method to construct scalable Bell inequalities tailored for experimental tests in multiqubit systems, including GGHZ states.
Findings
Derived a set of compact Mermin-type inequalities.
Analyzed quantum violations for GGHZ states.
Revealed relationships between nonlocality and four-partite entanglement.
Abstract
Based on Clauser-Horner-Shimony-Holt inequality, we show a fruitful method to exploit Bell inequalities for multipartite qubit systems. These Bell inequalities are designed with a simpler architecture tailored to experimental demonstration. Under the optimal setting we derive a set of compact Mermin-type inequalities and discuss quantum violations for generalized Greenberger-Horne-Zeilinger (GGHZ) states. Also, we reveal relationship between quantum nonlocality and four-partite entanglement for four-qubit GGHZ states.
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