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Multi-party quantum secret sharing based on logical GHZ-type states against collective noise

Yi Xiang

College of Mathematics and Statistics, Sichuan University of Science and Engineering, Zigong 643000, China

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

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

E-mail Address: xiangyisuse@163.com

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Liang Tang

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

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

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Ming-Qiang Bai

https://orcid.org/0000-0002-3234-6669

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

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

E-mail Address: baimq@sicnu.edu.cn

Corresponding author.

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, and

Zhi-Wen Mo

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

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

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https://doi.org/10.1142/S0217984921504364Cited by:0 (Source: Crossref)

Abstract

In this paper, we discussed the local preparation methods of two types of multi-qubit logical GHZ-type states using controlled quantum gates, and drew the corresponding quantum circuits. Subsequently, we investigated the measurement-related properties of logical GHZ-type state and thus proposed two multi-party quantum secret sharing schemes against collective-dephasing and collective-rotation noise, respectively. Further, we demonstrated that the schemes can effectively resist some familiar attack strategies. Finally, we analyzed the quantum efficiency of our schemes and made a comprehensive comparison with previous similar schemes.

Keywords:

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