https://doi.org/10.1140/epjqt/s40507-026-00482-2
Research
An efficient and secure multi-party convex hull protocol using quantum secret commitment
1
School of Computer Science, Nanjing University of Information Science and Technology, No. 219 Ningliu Road, 210044, Nanjing, Jiangsu, China
2
Engineering Research Center of Digital Forensics, Ministry of Education, No. 219 Ningliu Road, 210044, Nanjing, Jiangsu, China
a
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Received:
5
August
2025
Accepted:
11
February
2026
Published online:
23
February
2026
Abstract
Convex hull computation is a fundamental problem in secure multi-party computational geometry (SMCG), classified under secure multi-party computation (SMC) for finding the convex hull of a set of points. Existing quantum solutions largely depend on quantum homomorphic encryption (QHE), which introduces significant computational overhead due to frequent key updates by a trusted third party (TTP). Furthermore, most current protocols lack a mechanism for input commitment, making them vulnerable to post-computation input tampering or denial by the TTP. To overcome these limitations, we propose an efficient convex hull protocol that utilizes quantum secret commitment (QSC) as a more secure alternative to QHE. Our protocol enables a designated party (the committer) to securely commit to input values in a manner that guarantees both binding (no post-hoc alteration) and hiding (input secrecy). We introduce a novel value comparison protocol within an Ideal Quantum K-Party model, ensuring privacy-preserving convex hull computation without reliance on QHE. Rigorous security analysis demonstrates significant improvements in computational efficiency and resilience against quantum adversaries. Our protocol represents a pivotal advancement for quantum-secure multi-party computations and lays the groundwork for scalable, future-proof privacy-preserving geometry in quantum computing contexts.
Key words: Quantum secret commitment / Quantum value comparison / Convex hull protocol / Secure multi-party computation
© The Author(s) 2026
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