# Necessary and sufficient condition of separability for $\mathrm{D}$-symmetric diagonal states

For multipartite states, we consider a notion of $D$ symmetry. For a system of $N$ qubits, it coincides with the usual permutational symmetry. In the case of $N$ qudits ($d≥3$), the $D$ symmetry is stronger than the permutational one. For the space of all $\mathrm{D}$-symmetric vectors in ${({\mathb...

[Phys. Rev. A 99, 022309] Published Fri Feb 08, 2019