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arxiv: 1501.05503 · v1 · pith:2H5ESG2Cnew · submitted 2015-01-22 · 🪐 quant-ph

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

classification 🪐 quant-ph
keywords mathbbbasesbigotimesentangledmaximallymutuallyunbiasedunextendible
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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.

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