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On Non-Existence of Absolutely Maximally Entangled Canonical Graph States in Even Local Dimensions
We demonstrate that absolutely maximally entangled (AME) states consisting of $N=4n$ qudits with $n\in\{1,2,3,\ldots\}$, each of even local dimension $d$, cannot be realized as canonical graph states over the ring $\mathbb{Z}_d$. This result imposes strong constraints on AME states in composite loca
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