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arXiv · 1707.04103

Genuinely entangled symmetric states with no $N$-partite correlations

S. Designolle·O. Giraud·J. Martin
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Abstract

We investigate genuinely entangled $N$-qubit states with no $N$-partite correlations in the case of symmetric states. Using a tensor representation for mixed symmetric states, we obtain a simple characterization of the absence of $N$-partite correlations. We show that symmetric states with no $N$-partite correlations cannot exist for an even number of qubits. We fully identify the set of genuinely entangled symmetric states with no $N$-partite correlations in the case of three qubits, and in the case of rank-2 states. We present a general procedure to construct families for an arbitrary odd number of qubits.

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S. Designolle, O. Giraud, J. Martin. 2017-10-04. Genuinely entangled symmetric states with no $N$-partite correlations. https://doi.org/10.1103/physreva.96.032322

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