A family of symmetric five-qubit states that remain PPT under all symmetric unitary evolutions are shown to be entangled, refuting the SAPPT equals SAS equivalence for odd N≥5.
Taking into account the results of Theorem 1,W7 detects thatρ(p) is an entangled SAPPT state forpmin ≤ p ≤ pW7 ent ≈ 0.9930
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Nonequivalence between absolute separability and positive partial transposition in the symmetric subspace
A family of symmetric five-qubit states that remain PPT under all symmetric unitary evolutions are shown to be entangled, refuting the SAPPT equals SAS equivalence for odd N≥5.