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      Constructing mutually unbiased bases from unextendible maximally entangled bases

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          Abstract

          We study mutually unbiased bases (MUBs) in which all the bases are unextendible maximally entangled ones. We first present a necessary and sufficient condition of constructing a pair of MUBs in \(C^2 \otimes C^4\). Based on this condition, an analytical and necessary condition for constructing MUBs is given. Moreover we illustrate our approach by some detailed examples in \(C^2 \otimes C^4\). The results are generalized to \(C^2 \otimes C^d\) \((d\geq 3)\) and a concrete example in \(C^2 \otimes C^8\) is given.

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          Author and article information

          Journal
          26 January 2020
          Article
          2001.09515
          506cadb1-71b1-4c75-85c4-e587942614b3

          http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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          Custom metadata
          Reports on mathematical physics, 85, 1,2020
          14 pages
          quant-ph

          Quantum physics & Field theory
          Quantum physics & Field theory

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