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Multiparty Mediated Semi-Quantum Secret Sharing Protocol.

Chia‐Wei Tsai, Chun‐Wei Yang, Jason Lin

Published Feb 13, 2021• 1 citation
OpenAlex

Abstract

This study proposes the first multiparty mediated semi-quantum secret sharing (MSQSS) protocol to overcome two existing challenges in current semi-quantum secret sharing protocols: (1) dealer must be the quantum user, and (2) classical users must be equipped with Trojan horse detectors. In the proposed MSQSS protocol, a classical dealer can share secrets with multiple classical agents via the help of a dishonest quantum third party. Security analysis is performed to prove that the proposed protocol cannot suffer from a collective attack, a collusion attack, or a Trojan horse attack. Furthermore, the proposed MSQSS protocol is more lightweight than existing SQSS protocols because the classical user is equipped with only two quantum capabilities.

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Annalen der Physik•Oct 5, 2023•9 citations
This study proposes the first multiparty mediated semi-quantum secret sharing (MSQSS) protocol to overcome two existing challenges in current semi-quantum secret sharing protocols: (1) dealer must be the quantum user, and (2) classical users must be equipped with Trojan horse detectors. In the proposed MSQSS protocol, a classical dealer can share secrets with multiple classical agents via the help of a dishonest quantum third party. Security analysis is performed to prove that the proposed protocol cannot suffer from a collective attack, a collusion attack, or a Trojan horse attack. Furthermore, the proposed MSQSS protocol is more lightweight than existing SQSS protocols because the classical user is equipped with only two quantum capabilities.
Due to the exiting semi-quantum secret sharing protocol have two challenges including (1) the dealer must be the quantum user, and (2) the classical users must equip with the Trojan Horse detectors, this study wants to propose a novel mediate semi-quantum secret sharing (MSQSS) protocol to let a classical dealer can share his/her secrets to the classical agents with the help of a dishonest third-party (TP). The proposed MSQSS protocol adopts the one-way quantum communication and thus it is free from the Trojan Horse attacks. Furthermore, the security analysis is given for proving that the proposed protocol can be against the collective attack. Comparing to the exiting SQSS protocols, the proposed MSQSS protocol is more lightweight and more practical.
Typical multiparty semi-quantum secret sharing (MSQSS) protocols require the dealer to possess full quantum capabilities, while the classical users usually need to perform three operations. To address this practical limitation, this paper introduces a new mediated MSQSS protocol that enables Alice, a classical user, to share a secret with [Formula: see text] classical Bobs, with the assistance of an untrusted third party (TP) who may attempt any possible attack to steal Alice’s secret. Furthermore, the classical participants require only two capabilities instead of three, namely: (a) performing measurements in the [Formula: see text] basis; and (b) reordering qubits. The proposed scheme offers significant advantages over existing mediated QSS protocols: (1) It is the first mediated SQSS protocol to adopt single qubits, instead of entangled states, as the quantum resource, which makes it more practical and easier to implement; (2) It achieves higher qubit efficiency. Security analysis also demonstrates that the protocol is secure against well-known attacks.
The mediated semi-quantum key distribution (MSQKD) protocol is an important research issue that lets two classical participants share secret keys securely between each other with the help of a third party (TP). However, in the existing MSQKD protocols, there are two improvable issues, namely (1) the classical participants must be equipped with expensive detectors to avoid Trojan horse attacks and (2) the trustworthiness level of TP must be honest. To the best of our knowledge, none of the existing MSQKD protocols can resolve both these issues. Therefore, this study takes Bell states as the quantum resource to propose a MSQKD protocol, in which the classical participants do not need a Trojan horse detector and the TP is dishonest. Furthermore, the proposed protocol is shown to be secure against well-known attacks and the classical participants only need two quantum capabilities. Therefore, in comparison to the existing MSQKD protocols, the proposed protocol is better practical.
The security of a secret sharing protocol is compromised if one or more dishonest participants can reconstruct the secret by deviating from the prescribed protocol, particularly when such malicious behavior remains undetected. Semi-Quantum Secret Sharing (SQSS) is a variant of secret sharing in which the participants possess only classical capabilities, such as preparing and measuring qubits in the computational (ZZZ) basis, while a quantum-capable third party assists the dealer in generating and distributing quantum shares of a classical secret. The limited quantum capabilities of the participants in SQSS protocols may introduce vulnerabilities to collusion attacks, enabling an assisting quantum third party, in collaboration with a dishonest classical participant, to jointly recover the secret even without detection. In this work, we propose a novel SQSS protocol that eliminates this vulnerability and achieves information-theoretic security against collusion attacks. We further prove that the proposed protocol is secure against a broad class of external and internal attacks. Finally, a comparative analysis demonstrates that our construction advances existing SQSS protocols by simultaneously optimizing qubit efficiency, involves a classical dealer, and resilience against DCNA attacks using basic Bell states.
Classical users can share a secret key with a quantum user by using a semi-quantum key distribution (SQKD) protocol. Allowing two classical users to share a secret key is the objective of the mediated semi-quantum key distribution (MSQKD) protocol. However, the existing MSQKD protocols need a quantum user to assist two classical users in distributing the secret keys, and these protocols require that the classical users be equipped with a Trojan horse photon detector. This reduces the practicability of the MSQKD protocols. Therefore, in this study we propose a lightweight MSQKD, in which the two participants and third party are classical users. Due to the usage of the one-way transmission strategy, the proposed lightweight MSQKD protocol is free from quantum Trojan horse attack. The proposed MSQKD is more practical than the existing MSQKD protocols.
Abstract The multiparty‐mediated quantum secret sharing (MQSS) protocol proposed by Tsai et al. [Quantum Inf. Process., 2022, 21, 63] allows n restricted users with limited quantum capabilities to share secret information using a dishonest third party with full quantum capabilities. Although the MQSS protocol allows restricted users to achieve secret sharing with lightweight quantum capabilities, the qubit efficiency of this protocol can be further improved. Therefore, this study proposes a measurement property of the graph state to design an efficient mediated quantum secret‐sharing protocol in the same quantum environment as that of Tsai et al.’s protocol. The proposed MQSS protocol not only inherits the lightweight property of Tsai et al.’s protocol but also improves the qubit efficiency of Tsai et al.’s protocol by times. Security analysis is performed to show that the proposed MQSS protocol can avoid collective, collusion, and Trojan horse attacks. Furthermore, this study uses quantum network simulation software to implement Tsai et al.’s protocol and the proposed protocol to prove the feasibility of the proposed MQSS protocol and show that it is more efficient than Tsai et al.’s protocol.