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Perfect controlled joint remote state preparation of arbitrary multi-qubit states independent of entanglement degree of the quantum channel

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Abstract

We design a quantum circuit to generate a class of partially entangled quantum states. Using this kind of quantum state as quantum channel, we put forward deterministic schemes for controlled joint remote state preparation of arbitrary two- and three-qubit states and extend them to prepare arbitrary multi-qubit states. For each case, we give the concrete construction methods of multi-qubit measurement basis and unitary transformations to recover the initial original state. Unlike most previous works, where the parameters of the quantum channel are given to the receiver who can accomplish the task only probabilistically by consuming auxiliary resource, operation and measurement, here we give them to the supervisor. Thanks to the knowledge of quantum channel parameters, the supervisor can perform appropriate complete projection measurement. Combined with the feed-forward strategy adapted by the preparers, the measurement not only much simplifies the receiver’s operation but also yields unit success probability. Amazingly, our protocols do not depend on the entanglement degree of the shared quantum channel, and they are within the reach realization of current quantum technologies.

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Acknowledgements

This work is supported partially by Natural Science Foundation of China (Grant Nos. 11071178, 11671284), Sichuan Provincial Natural Science Foundation of China (Grant. 2017JY0197) and Sichuan Province Education Department Scientific Research Innovation Team Foundation (No. 15TD0027).

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Authors and Affiliations

  1. Institute of Intelligent Information and Quantum Information, Sichuan Normal University, Chengdu, 610066, China

    Jia-Yin Peng, Ming-qiang Bai, Liang Tang, Zhen Yang & Zhi-Wen Mo

  2. School of Mathematics and Information Science, Neijiang Normal University, Neijiang, 641199, China

    Jia-Yin Peng

  3. School of Mathematical Sciences, Sichuan Normal University, Chengdu, 610066, China

    Ming-qiang Bai, Liang Tang, Zhen Yang & Zhi-Wen Mo

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  1. Jia-Yin Peng
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  2. Ming-qiang Bai
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  3. Liang Tang
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  4. Zhen Yang
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  5. Zhi-Wen Mo
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Correspondence to Ming-qiang Bai.

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Peng, JY., Bai, Mq., Tang, L. et al. Perfect controlled joint remote state preparation of arbitrary multi-qubit states independent of entanglement degree of the quantum channel. Quantum Inf Process 20, 340 (2021). https://doi.org/10.1007/s11128-021-03282-y

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