{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,7]],"date-time":"2026-05-07T16:46:56Z","timestamp":1778172416467,"version":"3.51.4"},"reference-count":120,"publisher":"Springer Science and Business Media LLC","issue":"8030","license":[{"start":{"date-parts":[[2024,9,18]],"date-time":"2024-09-18T00:00:00Z","timestamp":1726617600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0"},{"start":{"date-parts":[[2024,9,18]],"date-time":"2024-09-18T00:00:00Z","timestamp":1726617600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Nature"],"published-print":{"date-parts":[[2024,9,19]]},"abstract":"Abstract<\/jats:title>Entanglement is a key feature of quantum mechanics1\u20133<\/jats:sup>, with applications in fields such as metrology, cryptography, quantum information and quantum computation4\u20138<\/jats:sup>. It has been observed in a wide variety of systems and length scales, ranging from the microscopic9\u201313<\/jats:sup> to the macroscopic14\u201316<\/jats:sup>. However, entanglement remains largely unexplored at the highest accessible energy scales. Here we report the highest-energy observation of entanglement, in top\u2013antitop quark events produced at the Large Hadron Collider, using a proton\u2013proton collision dataset with a centre-of-mass energy of \u221as<\/jats:italic>\u2009=\u200913\u2009TeV and an integrated luminosity of 140\u2009inverse\u00a0femtobarns (fb)\u22121<\/jats:sup> recorded with the ATLAS experiment. Spin entanglement is detected from the measurement of a single observable D<\/jats:italic>, inferred from the angle between the charged leptons in their parent top- and antitop-quark rest frames. The observable is measured in a narrow interval around the top\u2013antitop quark production threshold, at which the entanglement detection is expected to be significant. It is reported in a fiducial phase space defined with stable particles to minimize the uncertainties that stem from the limitations of the Monte Carlo event generators and the parton shower model in modelling top-quark pair production. The entanglement marker is measured to be D<\/jats:italic>\u2009=\u2009\u22120.537\u2009\u00b1\u20090.002 (stat.)\u2009\u00b1\u20090.019 (syst.) for $$340\\,{\\rm{GeV}} < {m}_{t\\bar{t}} < 380\\,{\\rm{GeV}}$$<\/jats:tex-math>\n \n 340<\/mml:mn>\n \n GeV<\/mml:mi>\n <<\/mml:mo>\n \n \n m<\/mml:mi>\n <\/mml:mrow>\n \n t<\/mml:mi>\n \n \n t<\/mml:mi>\n <\/mml:mrow>\n \u00af<\/mml:mo>\n <\/mml:mover>\n <\/mml:mrow>\n <\/mml:msub>\n <<\/mml:mo>\n 380<\/mml:mn>\n \n GeV<\/mml:mi>\n <\/mml:mrow>\n <\/mml:math><\/jats:alternatives><\/jats:inline-formula>. The observed result is more than five standard deviations from a scenario without entanglement and hence constitutes the first observation of entanglement in a pair of quarks and the highest-energy observation of entanglement so far.<\/jats:p>","DOI":"10.1038\/s41586-024-07824-z","type":"journal-article","created":{"date-parts":[[2024,9,18]],"date-time":"2024-09-18T16:02:03Z","timestamp":1726675323000},"page":"542-547","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":87,"title":["Observation of quantum entanglement with top quarks at the ATLAS detector"],"prefix":"10.1038","volume":"633","author":[{"name":"The ATLAS Collaboration","sequence":"first","affiliation":[]},{"given":"G.","family":"Aad","sequence":"additional","affiliation":[]},{"given":"B.","family":"Abbott","sequence":"additional","affiliation":[]},{"given":"K.","family":"Abeling","sequence":"additional","affiliation":[]},{"given":"N. 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