Title: Improved quantum secret sharing scheme based on GHZ states

Authors: Ming-Ming Wang; Zhi-Guo Qu; Lin-Ming Gong

Addresses: Shaanxi Key Laboratory of Clothing Intelligence, School of Computer Science; State and Local Joint Engineering Research Center for Advanced Networking and Intelligent Information Services, School of Computer Science, Xi'an Polytechnic University, Xi'an 710048, China ' Jiangsu Engineering Center of Network Monitoring, Nanjing University of Information Science and Technology, Nanjing 210044, China ' Shaanxi Key Laboratory of Clothing Intelligence, School of Computer Science; State and Local Joint Engineering Research Center for Advanced Networking and Intelligent Information Services, School of Computer Science, Xi'an Polytechnic University, Xi'an 710048, China

Abstract: With the rapid progress of quantum cryptography, secret sharing has been developed in the quantum setting for achieving a high level of security, which is known as quantum secret sharing (QSS). The first QSS scheme was proposed by Hillery et al. in 1999 [Phys. Rev. A, Vol. 59, p.1829 (1999)] based on entangled Greenberger-Horne-Zeilinger (GHZ) states. However, only 50% of the entangled quantum states are effective for eavesdropping detection and secret splitting in the original scheme. In this paper, we introduce a possible method, called measurement-delay strategy, to improve the qubit efficiency of the GHZ-based QSS scheme. By using this method, the qubit efficiency of the improved QSS scheme can reach 100% for both security detection and secret distribution. The improved QSS scheme can be implemented experimentally based on current technologies.

Keywords: quantum secret sharing; efficiency; security; GHZ state.

DOI: 10.1504/IJCSE.2020.106060

International Journal of Computational Science and Engineering, 2020 Vol.21 No.3, pp.355 - 363

Received: 03 Jul 2018
Accepted: 18 Nov 2018
Published online: 27 Mar 2020 *

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