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

摘要： 融合了双向隐形传态、受控隐形传态、概率隐形传态及多参数测量思想，提出了一个新的双向受控概率隐形传态协议。在该协议中，以五粒子非最大纠缠团簇态为信道，发送者采用多参数通用测量，接收者引入辅助粒子，并在控制者的允许下，利用测量信息施行适当酉变换，就能以一定概率同时交换他们的量子态。分析了成功概率（经典耗费）与量子纠缠参数及测量参数间的依赖关系，说明了该协议可以根据量子信道的参数来调整多参数测量的参数，达到调节成功概率或经典耗费，满足真实世界中多种不同需求的目的。此外，该协议是经典双向受控隐形传态的推广。

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