Topic
Absolutely maximally entangled states
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Finite nontrivial LU moduli of AME states
Do there exist integers \(N,d\geq 2\) for which the absolutely maximally entangled states of \(N\) qudits of local dimension \(d\) form finitely many, but more than one, local-unitary equivalence classes?
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Unclassified existence parameters for homogeneous AME states
For which of the parameter pairs specified below does an absolutely maximally entangled state exist?
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Minimal-support frontier for absolutely maximally entangled states
Determine, for every integer \(d\geq 2\), the largest number \(\mathcal N(d)\) of \(d\)-level parties that admit an absolutely maximally entangled state of minimal computational-basis support.
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Existence of an eight-ququart perfect tensor
Does an absolutely maximally entangled state of eight ququarts exist?
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Real four-quhex absolutely maximally entangled state
Does there exist an \(\operatorname{AME}(4,6)\) state whose coefficients are real in a product basis?
Unsolved