Symmetric Remote Single-Qubit State Preparation via Positive Operator-Valued Measurement

I present a tripartite scheme for realizing remote single-qubit state preparation in either distant ministrant’s place. In this scheme, to fulfill the remote preparation, the preparer performs a two-qubit projective measurement in a properly chosen bases. Then after the two ministrants’ collaboration, one of them successfully realizes the remote single-qubit state preparation in a probabilistic manner by executing a proper positive operator-valued measurement (POVM). The success probability and classical communication cost in the scheme are also calculated. Furthermore, I also explore its applications to two special ensembles of states in detail. The extensive investigations show that the remote preparation can be achieved with higher probability provided that the prepared state belongs to the two special ensembles. Finally, I sketch the generalization of the tripartite scheme to a multiparty case.