Construction of mutually unbiased bases in \({\mathbb {C}}^d\otimes {\mathbb {C}}^{2^{l}d'}\)

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• 作者：Jun Zhang ; Yuan-Hong Tao ; Hua Nan ; Shao-Ming Fei
• 关键词：Mutually unbiased bases ; Maximally entangled states ; Unextendible maximally entangled basis
• 刊名：Quantum Information Processing
• 出版年：2015
• 出版时间：July 2015
• 年：2015
• 卷：14
• 期：7
• 页码：2635-2644
• 全文大小：415 KB
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• 作者单位：Jun Zhang (1)
  Yuan-Hong Tao (1) (2)
  Hua Nan (1)
  Shao-Ming Fei (2)
  
  1. Department of Mathematics, College of Sciences, Yanbian University, Yanji, 133002, China
  2. School of Mathematical Sciences, Capital Normal University, Beijing, 100048, China
  
• 刊物类别：Physics and Astronomy
• 刊物主题：Physics
  Physics
  Mathematics
  Engineering, general
  Computer Science, general
  Characterization and Evaluation Materials
  
• 出版者：Springer Netherlands
• ISSN：1573-1332

文摘

We study mutually unbiased bases in \({\mathbb {C}}^d\otimes {\mathbb {C}}^{2^{l}d'}\). A systematic way of constructing mutually unbiased maximally entangled bases (MUMEBs) in \({\mathbb {C}}^d\otimes {\mathbb {C}}^{2^{l}d'} (l\in {\mathbb {Z}}^{+})\) from MUMEBs in \({\mathbb {C}}^d \otimes {\mathbb {C}}^{d'}(d'=kd, k\in {\mathbb {Z}}^+)\) and a general approach to construct mutually unbiased unextendible maximally entangled bases (MUUMEBs) in \({\mathbb {C}}^d\otimes {\mathbb {C}}^{2^ld'} (l \in {\mathbb {Z}}^{+})\) from MUUMEBs in \({\mathbb {C}}^d \otimes {\mathbb {C}}^{d'}(d'=kd+r, 0<r<d)\) have been presented. Detailed examples are given.