{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,6]],"date-time":"2022-04-06T01:46:56Z","timestamp":1649209616569},"reference-count":0,"publisher":"Rinton Press","issue":"11&12","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["QIC"],"published-print":{"date-parts":[[2013,11]]},"abstract":"<jats:p>We study the locally unextendible non-maximally entangled basis (LUNMEB) in $H^{d}\\bigotimes H^{d}$. We point out that there exists an error in the proof of the main result of LUNMEB [Quant. Inf. Comput. 12, 0271(2012)], which claims that there are at most d orthogonal vectors in a LUNMEB, constructed from a given non-maximally entangled state. We show that both the proof and the main result are not correct in general. We present a counter example for d=4, in which five orthogonal vectors from a specific non-maximally entangled state are constructed. Besides, we completely solve the problem of LUNMEB for the case of d=2.<\/jats:p>","DOI":"10.26421\/qic13.11-12-9","type":"journal-article","created":{"date-parts":[[2021,3,4]],"date-time":"2021-03-04T02:43:45Z","timestamp":1614825825000},"page":"1077-1080","source":"Crossref","is-referenced-by-count":1,"title":["A note on locally unextendible non-maximally entangled basis"],"prefix":"10.26421","volume":"13","member":"10955","published-online":{"date-parts":[[2013,11]]},"container-title":["Quantum Information and Computation"],"original-title":[],"deposited":{"date-parts":[[2021,3,4]],"date-time":"2021-03-04T02:44:21Z","timestamp":1614825861000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.rintonpress.com\/journals\/doi\/QIC13.11-12-9.html"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013,11]]},"references-count":0,"journal-issue":{"issue":"11&12","published-online":{"date-parts":[[2013,11]]},"published-print":{"date-parts":[[2013,11]]}},"URL":"https:\/\/doi.org\/10.26421\/qic13.11-12-9","relation":{},"ISSN":["1533-7146","1533-7146"],"issn-type":[{"value":"1533-7146","type":"print"},{"value":"1533-7146","type":"electronic"}],"subject":[],"published":{"date-parts":[[2013,11]]}}}