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Mutually Unbiased Maximally Entangled Bases for the Bipartite System \(\mathbb {C}^{d}\otimes \mathbb {C}^{d^{k}}\)

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Abstract

The construction of maximally entangled bases for the bipartite system \(\mathbb {C}^{d}\otimes \mathbb {C}^{d}\) is discussed firstly, and some mutually unbiased bases with maximally entangled bases are given, where 2≤d≤5. Moreover, we study a systematic way of constructing mutually unbiased maximally entangled bases for the bipartite system \(\mathbb {C}^{d}\otimes \mathbb {C}^{d^{k}}\).

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Acknowledgments

This research was supported by Natural Science Foundation of China (11361065); the Natural Science Foundation of Jilin Province (201215239); Yanbian University Research Found (2013, No.17)

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Correspondence to Jun Zhang.

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Nan, H., Tao, YH., Wang, TJ. et al. Mutually Unbiased Maximally Entangled Bases for the Bipartite System \(\mathbb {C}^{d}\otimes \mathbb {C}^{d^{k}}\) . Int J Theor Phys 55, 4324–4330 (2016). https://doi.org/10.1007/s10773-016-3057-0

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  • DOI: https://doi.org/10.1007/s10773-016-3057-0

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