A Note on Mutually Unbiased Unextendible Maximally Entangled Bases in \(\mathbb {C}^{2}\bigotimes \mathbb {C}^{3}\)

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• 作者：Halqem Nizamidin (1)
  Teng Ma (1)
  Shao-Ming Fei (1) (2)
  
  1. School of Mathematical Sciences ; Capital Normal University ; Beijing ; 100048 ; China
  2. Max-Planck-Institute for Mathematics in the Sciences ; 04103 ; Leipzig ; Germany
  
• 关键词：Mutually unbiased bases ; Unextendible maximally entangled bases ; Quantum entanglement
• 刊名：International Journal of Theoretical Physics
• 出版年：2015
• 出版时间：January 2015
• 年：2015
• 卷：54
• 期：1
• 页码：326-333
• 全文大小：186 KB
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• 刊物类别：Physics and Astronomy
• 刊物主题：Physics
  Physics
  Quantum Physics
  Elementary Particles and Quantum Field Theory
  Mathematical and Computational Physics
  
• 出版者：Springer Netherlands
• ISSN：1572-9575

文摘

We systematically study the construction of mutually unbiased bases in \(\mathbb {C}^{2}\bigotimes \mathbb {C}^{3}\) , such that all the bases are unextendible maximally entangled ones. Necessary conditions of constructing a pair of mutually unbiased unextendible maximally entangled bases in \(\mathbb {C}^{2}\bigotimes \mathbb {C}^{3}\) are derived. Explicit examples are presented.