数学季刊 >

2022 , Vol. 37 >Issue 3: 260 - 273

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2022.03.004

远程制备任意赤道态的简单通用协议

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  • 1. School of Mathematics and Statistics, Henan University, Kaifeng 475004, China; 2. Henan
    Engineering Research Center for Artificial Intelligence Theory and Algorithms, Henan University,
    Kaifeng 475004, China; 3. Group of Mathematics, Zhumadian No. 10 Middle School, Zhumadian
    463000, China
MA Song-ya (1980-), female, native of Zhoukou, Henan, professor of Henan University, master supervisor, engages in quantum communication; LI Xiang (1993-), male, native of Xinyang, Henan, master of Henan University, engages in quantum communication; LI Qi (1996-), female, native of Xinxiang, Henan, master’s degree candidate of Henan University, engages in quantum communication.

收稿日期: 2022-04-28

  网络出版日期: 2022-09-19

基金资助

 Supported by the National Natural Science Foundation of China (Grant Nos. 62172341,
62272208).

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Simplistic Universal Protocols for Remotely Preparing Arbitrary Equatorial States

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  • 1. School of Mathematics and Statistics, Henan University, Kaifeng 475004, China; 2. Henan
    Engineering Research Center for Artificial Intelligence Theory and Algorithms, Henan University,
    Kaifeng 475004, China; 3. Group of Mathematics, Zhumadian No. 10 Middle School, Zhumadian
    463000, China
MA Song-ya (1980-), female, native of Zhoukou, Henan, professor of Henan University, master supervisor, engages in quantum communication; LI Xiang (1993-), male, native of Xinyang, Henan, master of Henan University, engages in quantum communication; LI Qi (1996-), female, native of Xinxiang, Henan, master’s degree candidate of Henan University, engages in quantum communication.

Received date: 2022-04-28

  Online published: 2022-09-19

Supported by

 Supported by the National Natural Science Foundation of China (Grant Nos. 62172341,
62272208).

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摘要

 We first put forward a deterministic protocol to realize the remote preparation
of arbitrary multi-qubit equatorial states via EPR pairs. A set of useful measurement
basis is constructed which plays a key role. The receiver just needs to perform Pauli Z
operations to recover the target state. Comparing with the previous protocols, the recovery
operation is simplified and expressed by a general formula. As there are no universal
protocols for high-dimensional systems, we further generalize to the case of multi-qudit
equatorial states by means of Fourier transformation. It is worth mentioning that the
proposed schemes can be extended to multi-party controlled remote state preparation.
Moreover, we consider the effect of two-type decoherence noises.

关键词：  ; Remote state preparation; Multi-qudit equatorial state; Fourier transforma-
tion; Recovery operation; State-independent average fidelity

本文引用格式

马松雅, 李翔, 李琦 . 远程制备任意赤道态的简单通用协议[J]. 数学季刊, 2022 , 37(3) : 260 -273 . DOI: 10.13371/j.cnki.chin.q.j.m.2022.03.004

Abstract

 We first put forward a deterministic protocol to realize the remote preparation
of arbitrary multi-qubit equatorial states via EPR pairs. A set of useful measurement
basis is constructed which plays a key role. The receiver just needs to perform Pauli Z
operations to recover the target state. Comparing with the previous protocols, the recovery
operation is simplified and expressed by a general formula. As there are no universal
protocols for high-dimensional systems, we further generalize to the case of multi-qudit
equatorial states by means of Fourier transformation. It is worth mentioning that the
proposed schemes can be extended to multi-party controlled remote state preparation.
Moreover, we consider the effect of two-type decoherence noises.

Key words：  ; Remote state preparation; Multi-qudit equatorial state; Fourier transforma-
tion; Recovery operation; State-independent average fidelity

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