Symmetrized persistency of Bell correlations for Dicke states and GHZ-based mixtures: studying the limits of monogamy

• URL: http://arxiv.org/abs/2102.08141v1
• Date: Tue, 16 Feb 2021 13:26:36 GMT
• Title: Symmetrized persistency of Bell correlations for Dicke states and GHZ-based mixtures: studying the limits of monogamy
• Authors: Marcin Wie\'sniak
• Abstract summary: We study persistency of Bell correlations of GHZ based mixtures and Dicke states. For the former, we consider quantum communication complexity reduction scheme, and propose new Bell inequalities.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Quantum correlations, in particular those, which enable to violate a Bell inequality \cite{BELL}, 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.

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