Following the work of Chen et al. [Quantum Inf. Process. 16, 201 (2017)] and Zhang [Mod. Phys. Lett. A 34, 1950290 (2019)], we propose a scheme for cyclic quantum teleportation (CYQT) in which three participants Alice, Bob and Charlie can teleport three arbitrary single-qubit information states cyclically among themselves by using GHZ-like states. Chen et al. and Zhang proposed schemes for CYQT and bidirectional quantum teleportation (BQT) involving three participants, respectively. In the scheme of Chen et al., the quantum teleportation (QT) can be realized successfully between any two participants without the help of third participants and in Zhang’s scheme, two unknown single-qubit states are teleported bidirectionally between two participants with the help of a third participant. On the other hand, in our proposed scheme, all the three participants are controller as well as sender and receiver. The teleportation processes Alice [Formula: see text] Bob, Bob [Formula: see text] Charlie and Charlie [Formula: see text] Alice are controlled by Charlie, Alice and Bob, respectively, and hence the CYQT could not be realized successfully without the cooperation of all three participants. If any one participant denies to cooperate with other two participants, then the CYQT cannot be realized successfully.

中文翻译：

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通过类 GHZ 状态的循环量子隐形传态

继陈等人的工作之后。[量子信息。过程。16, 201 (2017)] 和张 [Mod. 物理。莱特。A 34, 1950290 (2019)]，我们提出了一种循环量子隐形传态 (CYQT) 方案，其中三个参与者 Alice、Bob 和 Charlie 可以通过使用类似 GHZ 的状态在他们之间循环传送三个任意单量子比特信息状态。陈等人。张和张分别提出了涉及三个参与者的 CYQT 和双向量子隐形传态 (BQT) 方案。在 Chen 等人的方案中，任何两个参与者之间都可以在没有第三个参与者的帮助下成功实现量子隐形传态（QT），而在 Zhang 的方案中，两个未知的单量子比特状态在两个参与者之间通过第三个参与者。另一方面，在我们提出的方案中，所有三个参与者都是控制器以及发送者和接收者。传送过程 Alice [公式：见文] Bob，Bob [公式：见文] Charlie 和 Charlie [公式：见文] Alice 分别由 Charlie、Alice 和 Bob 控制，因此 CYQT 无法成功实现三位参与者的合作。如果任何一个参与者拒绝与其他两个参与者合作，则 CYQT 无法成功实现。