Nullspaces of entanglement breaking channels and applications

Abstract Quantum entanglement breaking channels are a fundamental class of quantum operations; originally investigated for information theoretic reasons, their study has since grown to touch on many aspects science. Here we investigate the nullspace structures and derive pair related applications. We show that every operator space trace zero matrices is an channel. test mixed unitarity based complementary channel behaviour nullspaces. identify conditions guarantee existence private algebras certain classes channels.