{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,1,5]],"date-time":"2023-01-05T15:56:41Z","timestamp":1672934201863},"reference-count":0,"publisher":"Rinton Press","issue":"11&12","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["QIC"],"published-print":{"date-parts":[[2012,11]]},"abstract":"<jats:p>A ``magic rectangle\" of eleven observables of four qubits, employed by Harvey and Chryssanthacopoulos (2008) to prove the Bell-Kochen-Specker theorem in a 16-dimensional Hilbert space, is given a neat finite-geometrical reinterpretation in terms of the structure of the symplectic polar space $W(7,2)$ of the real four-qubit Pauli group. Each of the four sets of observables of cardinality five represents an elliptic quadric in the three-dimensional projective space of order two (PG$(3,2)$) it spans, whereas the remaining set of cardinality four corresponds to an affine plane of order two. The four ambient PG$(3, 2)$s of the quadrics intersect pairwise in a line, the resulting six lines meeting in a point. Projecting the whole configuration from this distinguished point (observable) one gets another, complementary ``magic rectangle\" of the same qualitative structure.<\/jats:p>","DOI":"10.26421\/qic12.11-12-8","type":"journal-article","created":{"date-parts":[[2021,3,5]],"date-time":"2021-03-05T02:16:25Z","timestamp":1614910585000},"page":"1011-1016","source":"Crossref","is-referenced-by-count":3,"title":["Finite geometry behind the Harvey-Chryssanthacopoulos four-qubit magic rectangle"],"prefix":"10.26421","volume":"12","author":[{"given":"Metod","family":"Saniga","sequence":"first","affiliation":[]},{"given":"Michel","family":"Planat","sequence":"additional","affiliation":[]}],"member":"10955","published-online":{"date-parts":[[2012,11]]},"container-title":["Quantum Information and Computation"],"original-title":[],"deposited":{"date-parts":[[2021,3,5]],"date-time":"2021-03-05T02:16:35Z","timestamp":1614910595000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.rintonpress.com\/journals\/doi\/QIC12.11-12-8.html"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012,11]]},"references-count":0,"journal-issue":{"issue":"11&12","published-online":{"date-parts":[[2012,11]]},"published-print":{"date-parts":[[2012,11]]}},"URL":"https:\/\/doi.org\/10.26421\/qic12.11-12-8","relation":{},"ISSN":["1533-7146","1533-7146"],"issn-type":[{"value":"1533-7146","type":"print"},{"value":"1533-7146","type":"electronic"}],"subject":[],"published":{"date-parts":[[2012,11]]}}}