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Deterministic Remote Preparation of an Arbitrary Single-Qudit State with High-Dimensional Spatial-Mode Entanglement via Linear-Optical Elements

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Abstract

Preparing high-dimensional quantum state remotely with quantum entanglement plays an important role in long-distance quantum communication. In this work, we present a protocol for deterministic remote preparation of an arbitrary single-qudit state with high-dimensional spatial-mode entangled state, resorting to linear-optical elements only. The sender first transforms the high-dimensional quantum entangled state to the target state via linear optical elements, then performs single-particle measurement on her entangled particle. The receiver can reconstruct the original high-dimensional state by performing unitary operation in accordance with the sender’s measurement result. The protocol is more convenient in application since it only requires linear optical elements for deterministic remote preparation of an arbitrary single-qudit state.

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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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  1. School of Science, Guangxi University for Nationalities, Nanning, 530006, People’s Republic of China

    Xiang Qi Lu, Kun Hong Feng & Ping Zhou

  2. Key Lab of Quantum Information and Quantum Optics, Guangxi University for Nationalities, Nanning, 530006, People’s Republic of China

    Xiang Qi Lu, Kun Hong Feng & Ping Zhou

  3. Guangxi Key Laboratory of Hybrid Computational and IC Design Analysis, Nanning, 530006, People’s Republic of China

    Ping Zhou

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Lu, X.Q., Feng, K.H. & Zhou, P. Deterministic Remote Preparation of an Arbitrary Single-Qudit State with High-Dimensional Spatial-Mode Entanglement via Linear-Optical Elements. Int J Theor Phys 61, 36 (2022). https://doi.org/10.1007/s10773-022-04976-4

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