Title: High-efficient quantum secret sharing with arrangements of lines on two-dimensional planes

Authors: Li Zhang; Ying Guo; Dazu Huang

Addresses: School of Software, Central South University, Changsha 410083, China ' School of Software, Central South University, Changsha 410083, China ' Department of Information Management, Hunan University of Finance and Economics, Changsha 410205, China

Abstract: We investigate a simple (2; 2)-threshold scheme and its generalised (n; n)-threshold scheme for the quantum secret sharing (QSS) based on fundamental laws of analytic geometry. The dealer aptly selects the possible Greenberger-Horne-Zeilinger (GHZ) states related to the coefficients which determine the characteristics of straight lines on the same two-dimensional plane. By judging whether two lines intercept or not, we obtain a judging matrix whose rank can be used for determining the secret stored in entangled states. With the aid of the database technology, the authorised participant accesses to the database and achieves the useful information, where the secret never appears in the noisy channel. It is shown that the eavesdropper fails to obtain any secret by applying the individual attack strategy.

Keywords: quantum secret sharing; QSS; analytical geometry; Greenberger-Horne-Zeilinger states; Bell states; straight lines; 2D planes; entangled states; quantum cryptography; security.

DOI: 10.1504/IJIPT.2014.066380

International Journal of Internet Protocol Technology, 2014 Vol.8 No.2/3, pp.116 - 121

Received: 08 May 2021
Accepted: 12 May 2021

Published online: 17 Dec 2014 *

Full-text access for editors Access for subscribers Purchase this article Comment on this article