Mermin Devices for Entangled States
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.
Key Takeaways
- •Introduces Mermin devices for analyzing generalized Dicke states.
- •Investigates the applicability of Mermin's instructional sets to describe the behavior of various entangled states.
- •Identifies which entangled states allow for a local hidden variable description based on Mermin's framework.
“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.”