关键词: 双向受控隐形传态, 三维量子态, 广义GHZ态, 投影测量, 正算子值测量

Abstract: A perfect protocol for bidirectional controlled teleportation (BCT) of three-dimensional single-particle states is put forward by using pre-shared two generalized maximally entangled GHZ states as the quantum channel. In the protocol, two distant parties can simultaneously and deterministically exchange their three-dimensional single-particle states under control of a third remote party in such a way that it cannot succeed without permission of the controller. In order to extend this protocol, two protocols for bidirectional controlled teleportation of three-dimensional single-particle states are proposed by using projective measurement and positive operator-valued measurement, respectively. In these two protocols, two generalized non-maximally entangled GHZ states are employed as the quantum channel linking three legitimate participants, and the quantum task can also be achieved with certain probability.

Key words: bidirectional controlled teleportation, three-dimensional quantum state, generalized GHZ state, projective measurement, positive operator-valued measurement