Symmetric and Probabilistic Quantum State Sharing via Positive Operator-valued Measure

By using positive operator-valued measure, I present a new tripartite scheme for realizing quantum state sharing of an arbitrary unknown single-qubit pure state in either distant agent's place. In this scheme, the sender averagely partitions its unknown single-qubit state with a Greenberger-Horne-Zeilinger (GHZ)-basis measurement. Then by performing a proper positive operator-valued measure, one agent can recover the splitter's state in a probabilistic manner provided that he/she gets another one's help. Moreover, the total success probability of the scheme is also worked out. Finally, I concisely generalize the tripartite QSTS scheme to a multiparty case.