Improved Criterion for the Existence of Absolutely Maximally Entangled States
Bo Li, Biao-Liang Ye, Shao-Ming Fei, and Xianqing Li-Jost
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Submission date: 28. Aug. 2017
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The absolutely maximally entangled (AME) states play key roles in quantum information processing. We provide an improved criterion on the existence of AME states for general dimension d of individual subsystems and number of partite n. For d = 2, our criterion excludes the existence of seven-qubit AME states, recovering the main result provided recently in [Phys. Rev. Lett. 118. 200502]. For higher dimension d and general n, our criterion signiﬁcantly improves the existing results.