Maximum N-body correlations do not in general imply genuine multipartite entanglement

Eltschka, Christopher and Siewert, Jens (2020) Maximum N-body correlations do not in general imply genuine multipartite entanglement. QUANTUM, 4. ISSN 2521-327X,

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Abstract

The existence of correlations between the parts of a quantum system on the one hand, and entanglement between them on the other, are different properties. Yet, one intuitively would identify strong N-party correlations with N-party entanglement in an N-partite quantum state. If the local systems are qubits, this intuition is confirmed: The state with the strongest N-party correlations is the Greenberger-Horne-Zeilinger (GHZ) state, which does have genuine multipartite entanglement. However, for high-dimensional local systems the state with strongest N-party correlations may be a tensor product of Bell states, that is, partially separable. We show this by introducing several novel tools for handling the Bloch representation.

Item Type: Article
Uncontrolled Keywords: STATES;
Subjects: 500 Science > 530 Physics
Divisions: Physics > Institute of Theroretical Physics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 30 Mar 2021 09:39
Last Modified: 30 Mar 2021 09:39
URI: https://pred.uni-regensburg.de/id/eprint/45143

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