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Analysis

This paper explores the use of Mermin devices to analyze and characterize entangled states, specifically focusing on W-states, GHZ states, and generalized Dicke states. The authors derive new results by bounding the expected values of Bell-Mermin operators and investigate whether the behavior of these entangled states can be fully explained by Mermin's instructional sets. The key contribution is the analysis of Mermin devices for Dicke states and the determination of which states allow for a local hidden variable description.
Reference

The paper shows that the GHZ and Dicke states of three qubits and the GHZ state of four qubits do not allow a description based on Mermin's instructional sets, while one of the generalized Dicke states of four qubits does allow such a description.