Open Access

ARTICLE

Probabilistic and Hierarchical Quantum Information Splitting Based on the Non-Maximally Entangled Cluster State

Gang Xu¹, Rui-Ting Shan², Xiu-Bo Chen², Mianxiong Dong³, Yu-Ling Chen^4,*
1 School of Information Science and Technology, North China University of Technology, Beijing, 100144, China
2 Information Security Center, State Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications, Beijing, 100876, China
3 Muroran Institution of Technology, Muroran, 050-8585, Japan
4 State Key Laboratory of Public Big Data, College of Computer Science and Technology, Guizhou University, Guiyang, 550025, China
* Corresponding Author: Yu-Ling Chen. Email:

Computers, Materials & Continua 2021, 69(1), 339-349. https://doi.org/10.32604/cmc.2021.017968

Received 19 February 2021; Accepted 31 March 2021; Issue published 04 June 2021

Abstract

With the emergence of classical communication security problems, quantum communication has been studied more extensively. In this paper, a novel probabilistic hierarchical quantum information splitting protocol is designed by using a non-maximally entangled four-qubit cluster state. Firstly, the sender Alice splits and teleports an arbitrary one-qubit secret state invisibly to three remote agents Bob, Charlie, and David. One agent David is in high grade, the other two agents Bob and Charlie are in low grade. Secondly, the receiver in high grade needs the assistance of one agent in low grade, while the receiver in low grade needs the aid of all agents. While introducing an ancillary qubit, the receiver’s state can be inferred from the POVM measurement result of the ancillary qubit. Finally, with the help of other agents, the receiver can recover the secret state probabilistically by performing certain unitary operation on his own qubit. In addition, the security of the protocol under eavesdropping attacks is analyzed. In this proposed protocol, the agents need only single-qubit measurements to achieve probabilistic hierarchical quantum information splitting, which has appealing advantages in actual experiments. Such a probabilistic hierarchical quantum information splitting protocol hierarchical is expected to be more practical in multipartite quantum cryptography.

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Keywords

Cluster state; hierarchical quantum information splitting; probabilistic; non-maximally entangled states

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Citations