Decomposition of tracial positive maps and applications in quantum information

Ali Dadkha, Mohsen Kian, Mohammad Sal Moslehian

Every positive multilinear map between $C^{\ast }$-algebras is separately weak${}^{\ast }$-continuous. We show that the joint weak${}^{\ast }$-continuity is equivalent to the joint weak${}^{\ast }$-continuity o…