{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,27]],"date-time":"2026-03-27T03:57:43Z","timestamp":1774583863247,"version":"3.50.1"},"reference-count":40,"publisher":"Verein zur Forderung des Open Access Publizierens in den Quantenwissenschaften","license":[{"start":{"date-parts":[[2020,2,10]],"date-time":"2020-02-10T00:00:00Z","timestamp":1581292800000},"content-version":"unspecified","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Quantum"],"abstract":"<jats:p>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.<\/jats:p>","DOI":"10.22331\/q-2020-02-10-229","type":"journal-article","created":{"date-parts":[[2020,2,10]],"date-time":"2020-02-10T17:21:35Z","timestamp":1581355295000},"page":"229","source":"Crossref","is-referenced-by-count":20,"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"],"prefix":"10.22331","volume":"4","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-9428-5593","authenticated-orcid":false,"given":"Christopher","family":"Eltschka","sequence":"first","affiliation":[{"name":"Institut f\u00fcr Theoretische Physik, Universit\u00e4t Regensburg, D-93040 Regensburg, Germany"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9410-5043","authenticated-orcid":false,"given":"Jens","family":"Siewert","sequence":"additional","affiliation":[{"name":"Departamento de Qu\u00edmica F\u00edsica, Universidad del Pa\u00eds Vasco UPV\/EHU, E-48080 Bilbao, Spain"},{"name":"IKERBASQUE Basque Foundation for Science, E-48013 Bilbao, Spain"}]}],"member":"9598","published-online":{"date-parts":[[2020,2,10]]},"reference":[{"key":"0","doi-asserted-by":"publisher","unstructured":"U. 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