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arXiv · 1810.07953

Unextendible Maximally Entangled Bases in $\mathbb{C}^{pd}\otimes \mathbb{C}^{qd}$

Gui-Jun Zhang·Yuan-Hong Tao·Yi-Fan Han·Xin-Lei Yong·Shao-Ming Fei
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Abstract

The construction of unextendible maximally entangled bases is tightly related to quantum information processing like local state discrimination. We put forward two constructions of UMEBs in $\mathbb {C}^{pd}\otimes \mathbb {C}^{qd}$($p\leq q$) based on the constructions of UMEBs in $\mathbb {C}^{d}\otimes \mathbb {C}^{d}$ and in $\mathbb {C}^{p}\otimes \mathbb {C}^{q}$, which generalizes the results in [Phys. Rev. A. 94, 052302 (2016)] by two approaches. Two different 48-member UMEBs in $\mathbb {C}^{6}\otimes \mathbb {C}^{9}$ have been constructed in detail.

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Gui-Jun Zhang, Yuan-Hong Tao, Yi-Fan Han, Xin-Lei Yong, Shao-Ming Fei. 2018-10-24. Unextendible Maximally Entangled Bases in $\mathbb{C}^{pd}\otimes \mathbb{C}^{qd}$. https://doi.org/10.1007/s11128-018-2094-4

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