{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,6,12]],"date-time":"2024-06-12T19:18:45Z","timestamp":1718219925090},"reference-count":0,"publisher":"Rinton Press","issue":"9&10","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["QIC"],"published-print":{"date-parts":[[2010,9]]},"abstract":"All complex Hadamard matrices in dimensions two to five are known. We use this fact to derive all inequivalent sets of mutually unbiased (MU) bases in low dimensions. We find a three-parameter family of triples of MU bases in dimension four and two inequivalent classes of MU triples in dimension five. We confirm that the complete sets of (d+1) MU bases are unique (up to equivalence) in dimensions below six, using only elementary arguments for d less than five.<\/jats:p>","DOI":"10.26421\/qic10.9-10-6","type":"journal-article","created":{"date-parts":[[2021,3,6]],"date-time":"2021-03-06T01:25:28Z","timestamp":1614993928000},"page":"803-820","source":"Crossref","is-referenced-by-count":25,"title":["All mutually unbiased bases in dimensions two to five"],"prefix":"10.26421","volume":"10","author":[{"given":"Stephen","family":"Brierley","sequence":"first","affiliation":[]},{"given":"Stefan","family":"Weigert","sequence":"additional","affiliation":[]},{"given":"Ingemar","family":"Bengtsson","sequence":"additional","affiliation":[]}],"member":"10955","published-online":{"date-parts":[[2010,9]]},"container-title":["Quantum Information and Computation"],"original-title":[],"deposited":{"date-parts":[[2021,3,6]],"date-time":"2021-03-06T01:26:03Z","timestamp":1614993963000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.rintonpress.com\/journals\/doi\/QIC10.9-10-6.html"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010,9]]},"references-count":0,"journal-issue":{"issue":"9&10","published-online":{"date-parts":[[2010,9]]},"published-print":{"date-parts":[[2010,9]]}},"URL":"https:\/\/doi.org\/10.26421\/qic10.9-10-6","relation":{},"ISSN":["1533-7146","1533-7146"],"issn-type":[{"value":"1533-7146","type":"print"},{"value":"1533-7146","type":"electronic"}],"subject":[],"published":{"date-parts":[[2010,9]]}}}