Separability of qubit-qudit quantum states with strong positive partial transposes
Kil-Chan Ha
Accepted
We show that all 24 states with strong positive partial transposes (SPPT) are separable. We also construct a family of 25 entangled SPPT states, so the conjecture on the separability of SPPT states are completely settled. In addition, we clarify the relation between the set of all 2d separable states and the set of all 2d SPPT states for the case of d=3,4.