AME(7,d) states exist iff d is at least 3; explicit constructions cover all odd d and all d congruent to 2 modulo 4, including the previously open dimensions 6 and 10.
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Complete Existence Classification of Seven-Partite Absolutely Maximally Entangled States
AME(7,d) states exist iff d is at least 3; explicit constructions cover all odd d and all d congruent to 2 modulo 4, including the previously open dimensions 6 and 10.