Entanglement breaking rank and the existence of SIC POVMs
Satish K. Pandey, Vern I. Paulsen, Jitendra Prakash, Mizanur Rahaman · Journal of Mathematical Physics · 2020
We introduce and study the entanglement breaking rank of an entanglement breaking channel. We show that the entanglement breaking rank of the channel Z:Md→Md defined by Z(X)=1d+1(X+Tr(X)Id) is d2 if and only if there exists a symmetric informationally complete positive operator-valued measure in dimension d.