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- W3100330175 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<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mi>N</mml:mi></mml:math>-party correlations with<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mi>N</mml:mi></mml:math>-party entanglement in an<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mi>N</mml:mi></mml:math>-partite quantum state. If the local systems are qubits, this intuition is confirmed: The state with the strongest<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mi>N</mml:mi></mml:math>-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<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mi>N</mml:mi></mml:math>-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." @default.
- W3100330175 created "2020-11-23" @default.
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- W3100330175 date "2020-02-10" @default.
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- W3100330175 title "Maximum<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mi>N</mml:mi></mml:math>-body correlations do not in general imply genuine multipartite entanglement" @default.
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- W3100330175 doi "https://doi.org/10.22331/q-2020-02-10-229" @default.
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