Complementary decompositions and unextendible mutually unbiased bases

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• 作者：Andrá ; s Szá ; ntó ; ^{prikolics@gmail.com" class="auth_mail" title="E-mail the corresponding author}
• 关键词：15A30 ; 47L05
• 刊名：Linear Algebra and its Applications
• 出版年：2016
• 出版时间：1 May 2016
• 年：2016
• 卷：496
• 期：Complete
• 页码：392-406
• 全文大小：328 K

文摘

Unextendible sets of Mutually Unbiased Bases (MUBs) are examined from the point of view of complementary subalgebras. We show, that the linear span of less than d+1$d+1$ factors of M_d⊗M_d$M_d\otimes M_d$ does not contain pure states, and therefore some complementary decompositions give rise to unextendible sets of MUBs. We provide some new complementary decompositions, and thus prove strong unextendibility of some set of MUBs.