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For the simplest symmetric states, i.e., the diagonal symmetric (DS) states, it has been shown that there exists a correspondence between exceptional (non-exceptional) copositive matrices and non-decomposable (decomposable) Entanglement Witnesses (EWs). Here we show that EWs of symmetric, but not DS, states can also be constructed from extended copositive matrices, providing new examples of bound entangled symmetric states, together with their corresponding EWs, in arbitrary odd dimensions.<\/jats:p>","DOI":"10.22331\/q-2021-10-07-561","type":"journal-article","created":{"date-parts":[[2021,10,7]],"date-time":"2021-10-07T18:00:00Z","timestamp":1633629600000},"page":"561","update-policy":"https:\/\/doi.org\/10.22331\/q-crossmark-policy-page","source":"Crossref","is-referenced-by-count":9,"title":["Entangled symmetric states and copositive matrices"],"prefix":"10.22331","volume":"5","author":[{"given":"Carlo","family":"Marconi","sequence":"first","affiliation":[{"name":"F\u00edsica Te\u00f2rica: Informaci\u00f3 i Fen\u00f2mens Qu\u00e0ntics. Departament de F\u00edsica, Universitat Aut\u00f2noma de Barcelona, 08193 Bellaterra, Spain"}]},{"given":"Albert","family":"Aloy","sequence":"additional","affiliation":[{"name":"ICFO - Institut de Ci\u00e8ncies Fot\u00f2niques, The Barcelona Institute of Science and Technology, 08860 Castelldefels (Barcelona), Spain"}]},{"given":"Jordi","family":"Tura","sequence":"additional","affiliation":[{"name":"Max-Planck-Institut f\u00fcr Quantenoptik, Hans-Kopfermann-Str. 1, 85748 Garching, Germany"},{"name":"Instituut-Lorentz, Universiteit Leiden, P.O. Box 9506, 2300 RA Leiden, The Netherlands"}]},{"given":"Anna","family":"Sanpera","sequence":"additional","affiliation":[{"name":"F\u00edsica Te\u00f2rica: Informaci\u00f3 i Fen\u00f2mens Qu\u00e0ntics. Departament de F\u00edsica, Universitat Aut\u00f2noma de Barcelona, 08193 Bellaterra, Spain"},{"name":"ICREA, Pg. 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