关键词: 双向隐形传态, 受控隐形传态, 概率隐形传态, 五粒子团簇态, 多参数测量

Abstract: Fusing the ideas of bidirectional teleportation, controlled teleportation, probabilistic teleportation and multi-parameter measurements, this paper puts forward a new protocol for the implementation of probabilistic and controlled bidirectional teleportation. In this protocol, the five-particle non-maximally entangled cluster state is used as the channel, the senders adopt multi-parameter universal measurements, the receivers introduce auxiliary particles. Under the permission of the controller and using the measurement information to perform appropriate unitary transformation, their quantum states can be exchanged simultaneously with a certain probability. The dependency relationship between the success probability（classical cost） and entanglement parameters of quantum channel and measurement parameters is analyzed. It is shown that the protocol can adjust the parameters of multi-parameter measurement according to the parameters of quantum channel, so as to adjust the success probability or classical cost and satisfy various requirements in the real world. In addition, this protocol is a generalization of the classical bidirectional controlled teleportation.

Key words: bidirectional teleportation, controlled teleportation, probabilistic teleportation, 5-particle cluster state, multi-parameter measurement