{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,8,2]],"date-time":"2025-08-02T04:31:51Z","timestamp":1754109111368},"reference-count":0,"publisher":"Rinton Press","issue":"13&14","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["QIC"],"published-print":{"date-parts":[[2020,11]]},"abstract":"<jats:p>It has been observed that the reduced density matrices of bipartite qudit pure states possess a Gram matrix structure. This observation has opened a possibility of analysing the entanglement in such systems from the purely geometrical point of view. In particular, a new quantitative measure of an entanglement of the geometrical nature, has been proposed. Using the invented Gram matrix approach, a version of a non-linear purification of mixed states describing the system analysed has been presented.<\/jats:p>","DOI":"10.26421\/qic20.13-14-1","type":"journal-article","created":{"date-parts":[[2021,2,10]],"date-time":"2021-02-10T20:01:06Z","timestamp":1612987266000},"page":"1081-1108","source":"Crossref","is-referenced-by-count":2,"title":["A Gramian approach to entanglement in bipartite finite dimensional systems: the case of pure states"],"prefix":"10.26421","volume":"20","author":[{"given":"Roman","family":"Gielerak","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Marek","family":"Sawerwain","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"10955","published-online":{"date-parts":[[2020,11]]},"container-title":["Quantum Information and Computation"],"original-title":[],"deposited":{"date-parts":[[2021,2,10]],"date-time":"2021-02-10T20:01:07Z","timestamp":1612987267000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.rintonpress.com\/journals\/doi\/QIC20.13-14-1.html"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,11]]},"references-count":0,"journal-issue":{"issue":"13&14","published-online":{"date-parts":[[2020,11]]},"published-print":{"date-parts":[[2020,11]]}},"URL":"https:\/\/doi.org\/10.26421\/qic20.13-14-1","relation":{},"ISSN":["1533-7146","1533-7146"],"issn-type":[{"value":"1533-7146","type":"print"},{"value":"1533-7146","type":"electronic"}],"subject":[],"published":{"date-parts":[[2020,11]]}}}