Entanglement purity in quadratic-phase states over finite fields is exactly determined by the rank of the phase matrix, with AME states existing precisely when all bipartition submatrices have full rank.
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Entanglement-Rank Duality in Quadratic Phase Quantum States
Entanglement purity in quadratic-phase states over finite fields is exactly determined by the rank of the phase matrix, with AME states existing precisely when all bipartition submatrices have full rank.