Dicke subsystems are entangled
Szil\'ard Szalay, P\'eter Ny\'ari

TL;DR
This paper proves that all reduced states of symmetric Dicke states are genuinely multipartite entangled and have nonpositive partial transpose, indicating strong quantum correlations across any subsystem.
Contribution
It establishes that all reduced states of symmetric Dicke states are genuinely multipartite entangled with nonpositive partial transpose, a novel universal property.
Findings
All reduced states are genuinely multipartite entangled.
Reduced states have nonpositive partial transpose.
This property holds for any number of qudits.
Abstract
We show that all reduced states of nonproduct symmetric Dicke states of arbitrary number of qudits are genuinely multipartite entangled, and of nonpositive partial transpose with respect to any subsystem.
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Taxonomy
TopicsQuantum Information and Cryptography · Quantum Computing Algorithms and Architecture · Quantum Mechanics and Applications
