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Optical and Quantum Electronics

Effectively combined multi-party quantum secret sharing and secure direct communication

Mahsa Khorrampanah, Monireh Houshmand

Published Mar 13, 2022• 12 citations
Publisher
DOI
10.1007/s11082-022-03575-1

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International Forum on Information Technology and Applications•May 1, 2009•8 citations
In this paper, we present an (n, n) threshold quantum secret sharing scheme of secure direct communication using Greenberger-Horne-Zeilinger state. The present scheme is efficient in that all the Greenberger-Horne-Zeilinger states used in the quantum secret sharing scheme are used to generate shared secret messages except those chosen for checking eavesdropper. In our scheme, the measuring basis of communication parties is invariable and the classical information used to check eavesdropping needs only the results of measurements of the communication parties. Another nice feature of our scheme is that the sender transmit her secret messages to the receivers directly and the receivers recover the sender's secret by combining their results, different from the QSS scheme whose object is essentially to allow a sender to establish a shared key with the receivers. This feature of our scheme is similar to that of quantum secret direct communication.
Abstract Quantum secret sharing as a privacy‐preserving scheme necessitating collaborative efforts from all participating users to collectively recover encrypted information. This paper introduces a novel dynamic multi‐party to multi‐party quantum secret sharing protocol based on Bell states, enabling secure sharing of secrets among dynamically changing multi‐party. The protocol innovatively employs Bell states combined with simplified local unitary operations, significantly reducing the complexity and enhancing the scalability of practical implementations in quantum communication systems. Particularly, through simulation using IBM's Qiskit framework, its correctness and practicality are confirmed. Security analysis demonstrates that the protocol effectively withstands common attack methods, providing reliability, and security in quantum communication. This research presents a more flexible and efficient solution in the field of quantum secret sharing.
Inspired by quantum secure direct communication and quantum dense coding, we present a three-party quantum secret sharing (QSS) scheme by quantum teleportation. After performing the rectilinear basis or diagonal basis measurement randomly for the eavesdropping check to ensure the security of the quantum channel, the sender encodes the secret messages directly on a series of Einstein-Podolsky-Rosen (EPR) pairs and transmits them to the receivers by quantum teleportation. Neither of the receivers can decode the secret messages on his own even if they collaborate. Only the two receivers combine their measurement results with the sender's result, can they recover the secret messages. In this scheme, one qubit can encode two bits of classical information because quantum dense coding is introduced. Using quantum teleportation, the distinct advantage of this scheme is that there is not the transmission of qubits carrying the secret messages in the quantum channel, it is absolutely secure for QSS if a perfect channel is used.