A Note on Mutually Unbiased Unextendible Maximally Entangled Bases in ℂ2⊗ℂ3$\mathbb {C}^{2}\bigotimes \mathbb {C}^{3}$

We systematically study the construction of mutually unbiased bases in ℂ2⊗ℂ3$\mathbb {C}^{2}\bigotimes \mathbb {C}^{3}$, such that all the bases are unextendible maximally entangled ones. Necessary conditions of constructing a pair of mutually unbiased unextendible maximally entangled bases in ℂ2⊗ℂ3$\mathbb {C}^{2}\bigotimes \mathbb {C}^{3}$ are derived. Explicit examples are presented.

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