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

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Abstract

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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Acknowledgments

This work is supported by the NSFC under number 11275131.

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Authors and Affiliations

  1. School of Mathematical Sciences, Capital Normal University, Beijing, 100048, China

    Halqem Nizamidin, Teng Ma & Shao-Ming Fei

  2. Max-Planck-Institute for Mathematics in the Sciences, 04103, Leipzig, Germany

    Shao-Ming Fei

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  1. Halqem Nizamidin
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  2. Teng Ma
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  3. Shao-Ming Fei
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Correspondence to Shao-Ming Fei.

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Nizamidin, H., Ma, T. & Fei, SM. A Note on Mutually Unbiased Unextendible Maximally Entangled Bases in \(\mathbb {C}^{2}\bigotimes \mathbb {C}^{3}\) . Int J Theor Phys 54, 326–333 (2015). https://doi.org/10.1007/s10773-014-2227-1

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  • DOI: https://doi.org/10.1007/s10773-014-2227-1

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