Symmetrized persistency of Bell correlations for Dicke states and GHZ-based mixtures

Quantum correlations, in particular those, which enable to violate a Bell inequality, open a way to advantage in certain communication tasks. However, the main difficulty in harnessing quantumness is its fragility to, e.g, noise or loss of particles. We study the persistency of Bell correlations of GHZ based mixtures and Dicke states. For the former, we consider quantum communication complexity reduction (QCCR) scheme, and propose new Bell inequalities (BIs), which can be used in that scheme for higher persistency in the limit of large number of particles N. In case of Dicke states, we show that persistency can reach 0.482N, significantly more than reported in previous studies.

Automated summary

The study focuses on the persistence of Bell correlations in GHZ based mixtures and Dicke states. New Bell inequalities are proposed for the quantum communication complexity reduction scheme, leading to higher persistence in the limit of a large number of particles N. The research shows that the persistence of Dicke states can reach 0.482N, significantly higher than previously reported.