We present a protocol for controlled cyclic remote preparation of an arbitrary single-qudit state via a seven-qudit cluster state. In the protocol, Alice can help the remote agent Bob prepare an arbitrary single-qudit state, Bob can help the agent Charlie prepare an arbitrary single-qudit state and at the same time Charlie can help Alice prepare an arbitrary single-qudit state under the controller David’s control. Alice, Bob and Charlie first perform positive operator-valued measurement (POVM) on their entangled particles according to the information of the prepared state, then perform generalized X-basis measurement. The controller performs generalized X-basis measurement on his entangled particle. The arbitrary single-qudit states can be cyclic remote prepared under the controller’s control. The protocol is more convenient in application since it only requires single-particle measurement and single-particle unitary operations for controlled cyclic remote preparation of the single-qudit states.

我们提出了一种协议，用于通过七级群集状态对任意单级状态进行受控的循环远程准备。在该协议中，Alice可以帮助远程代理Bob准备一个任意的单Qudit状态，Bob可以帮助代理Charlie准备一个任意的单Qudit状态，同时Charlie可以在以下情况下帮助Alice准备一个任意的单Qudit状态。管制员David的控制。Alice，Bob和Charlie首先根据准备状态的信息对它们的纠缠粒子执行正算子值测量（POVM），然后执行广义X基测量。控制器对纠缠的粒子执行广义X基测量。可以在控制器的控制下循环任意准备单态状态。