Genuine ( k , m )-Threshold Controlled Teleportation and Multipartite Entanglement
Xin-Wen Wang, Da-Chuang Li, Guojian Yang, Deng-Yu Zhang · Communications in Theoretical Physics · 2011
We propose genuine (k, m)-threshold controlling schemes for controlled teleportation via multi-particle entangled states, where the teleportation of a quantum state from a sender (Alice) to a receiver (Bob) is under the control of m supervisors such that k (k ≤ m) or more of these supervisors can help Bob recover the transferred state. By construction, anyone of our quantum channels is a genuine multipartite entangled state of which any two parts are inseparable. Their properties are compared and contrasted with those of the well-known GHZ, W, and linear cluster states, and also several other genuine multipartite entangled states recently introduced in the literature.