Abstract
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.
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Acknowledgements
This work was supported by the National Natural Science Foundation of China under Grant Nos. 11564004 and 61501129, Natural Science Foundation of Guangxi under Grant No. 2018JJA110112, the Special Funds of Guangxi Distinguished Experts Construction Engineering and Xiangsihu Young Scholars and Innovative Research Team of GXUN.
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Li, Y.H., He, L.M. & Zhou, P. Controlled Cyclic Remote Preparation of an Arbitrary Single-Qudit State by Using a Seven-Qudit Cluster State as the Quantum Channel. Int J Theor Phys 60, 1635–1649 (2021). https://doi.org/10.1007/s10773-021-04786-0
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DOI: https://doi.org/10.1007/s10773-021-04786-0