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

Author:

Xiang Yi123,Tang Liang23,Bai Ming-Qiang23ORCID,Mo Zhi-Wen23

Affiliation:

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

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

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

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.

Funder

National Natural Science Foundation of China

Sichuan Province Science and Technology Support Program

Zigong Science and Technology Program

Publisher

World Scientific Pub Co Pte Lt

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

Reference31 articles.

1. How to share a secret

2. G. R. Blakley, International Workshop on Managing Requirements Knowledge (IEEE Computer Society, 1979), p. 313.

3. Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels

4. Experimental quantum teleportation

5. Quantum secret sharing

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