Maximum $N$-body correlations do not in general imply genuine multipartite entanglement
| Autor: | Eltschka, Christopher, Siewert, Jens |
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| Rok vydání: | 2019 |
| Předmět: | |
| Zdroj: | Quantum 4, 229 (2020) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.22331/q-2020-02-10-229 |
| Popis: | 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. Comment: 11 pages, 1 figure, accepted for publication in Quantum |
| Databáze: | arXiv |
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