Genuine entanglement, distillability and quantum information masking under noise

Genuineness and distillability of entanglement play a key role in quantum information tasks, they are easily disturbed by the noise. We construct family multipartite states without genuine sudden death across every bipartition, respectively. They realized establishing noise as high-dimensional Pauli channels. Further, we locally unitary channel another such that Greenberger–Horne–Zeilinger state becomes Dür’s state. also show masking still works under constructed thus novel secret sharing scheme The evolution three-qutrit genuinely entangled distillable bipartition is investigated.