Dispensing of quantum information beyond no-broadcasting theorem—is it possible to broadcast anything genuinely quantum?

No-broadcasting theorem is one of the most fundamental results in quantum information theory; it guarantees that simplest attacks on any protocol, based eavesdropping and copying information, are impossible. Due to importance no-broadcasting theorem, essential understand exact boundaries this limitation. We generalize standard definition broadcasting by restricting set states which we want broadcast sets measurements use test broadcasting. show some investigated cases equivalent commutativity, while other commutativity not necessary.