Abstract
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.
Highlights
Quantum correlations, in particular those, which enable to violate a Bell inequality, open a way to advantage in certain communication tasks
It is natural to extend the schemes of quantum cryptographic key distribution to more users, which collaborate to encrypt a message, so that it can be decrypted only by all of them
We have studied symmetrized Bell correlations persistency for mixtures of GHZ states and Dicke states, especially in the context of their link to quantum communication schemes
Summary
In particular those, which enable to violate a Bell inequality, open a way to advantage in certain communication tasks. We will consider a stronger, symmetric version of persistency of Bell correlations, PsByemll (ρ) . For mixtures based on GHZ states, we are mainly interested in the symmetrized quantum communication complexity
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