远程制备任意赤道态的简单通用协议

doi:10.13371/j.cnki.chin.q.j.m.2022.03.004

数学季刊 ›› 2022, Vol. 37 ›› Issue (3): 260-273.doi: 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

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

收稿日期:2022-04-28 出版日期:2022-09-25 发布日期:2022-09-19
通讯作者: MA Song-ya (1980-), female, native of Zhoukou, Henan, professor of Henan University, master supervisor, engages in quantum communication E-mail:masongya0829@126.com
作者简介: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.
基金资助:
Supported by the National Natural Science Foundation of China (Grant Nos. 62172341,
62272208).

Simplistic Universal Protocols for Remotely Preparing Arbitrary Equatorial States

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

Received:2022-04-28 Online:2022-09-25 Published:2022-09-19
Contact: MA Song-ya (1980-), female, native of Zhoukou, Henan, professor of Henan University, master supervisor, engages in quantum communication E-mail:masongya0829@126.com
About author: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.
Supported by:
Supported by the National Natural Science Foundation of China (Grant Nos. 62172341,
62272208).

摘要/Abstract

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

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

中图分类号:

TN918

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.

MA Song-ya LI Xiang, LI Qi . Simplistic Universal Protocols for Remotely Preparing Arbitrary Equatorial States[J]. Chinese Quarterly Journal of Mathematics, 2022, 37(3): 260-273.

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远程制备任意赤道态的简单通用协议

Simplistic Universal Protocols for Remotely Preparing Arbitrary Equatorial States

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