Abstract
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 ($Z$) 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.
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Publication details
- Journal
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- Open access
- Green open access
Cite this article
APA 7
Majhi, S., & Basak, N. (2026). Collusion-Secure Semi-Quantum Secret Sharing Scheme using a Quantum Third Party. https://omanscience.com/en/articles/collusion-secure-semi-quantum-secret-sharing-scheme-using-a-quantum-third-party
MLA 9
Majhi, Santanu, and Nirupam Basak. "Collusion-Secure Semi-Quantum Secret Sharing Scheme using a Quantum Third Party." https://omanscience.com/en/articles/collusion-secure-semi-quantum-secret-sharing-scheme-using-a-quantum-third-party.
Chicago (author–date)
Majhi, Santanu, and Nirupam Basak. 2026. "Collusion-Secure Semi-Quantum Secret Sharing Scheme using a Quantum Third Party." https://omanscience.com/en/articles/collusion-secure-semi-quantum-secret-sharing-scheme-using-a-quantum-third-party.
Harvard
Majhi, S. and Basak, N. (2026) 'Collusion-Secure Semi-Quantum Secret Sharing Scheme using a Quantum Third Party', Available at: https://omanscience.com/en/articles/collusion-secure-semi-quantum-secret-sharing-scheme-using-a-quantum-third-party.
Vancouver
Majhi S, Basak N. Collusion-Secure Semi-Quantum Secret Sharing Scheme using a Quantum Third Party. https://omanscience.com/en/articles/collusion-secure-semi-quantum-secret-sharing-scheme-using-a-quantum-third-party
IEEE
S. Majhi, and N. Basak, "Collusion-Secure Semi-Quantum Secret Sharing Scheme using a Quantum Third Party," https://omanscience.com/en/articles/collusion-secure-semi-quantum-secret-sharing-scheme-using-a-quantum-third-party.