Stabilizer AME states do not exist for N=4n qudits of even local dimension d; optimal mixed AME states of purity 1/2 exist for d=6.
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On Non-Existence of Stabilizer Absolutely Maximally Entangled States in Even Local Dimensions
Stabilizer AME states do not exist for N=4n qudits of even local dimension d; optimal mixed AME states of purity 1/2 exist for d=6.