### Asymmetric Quantum Secure Multi-Party Computation With Weak Clients Against Dishonest Majority

##### Abstract

Secure multi-party computation (SMPC) protocols allow several parties that distrust each other to collectively compute a function on their inputs. In this paper, we introduce a protocol that lifts classical SMPC to quantum SMPC in a composably and statistically secure way, even for a single honest party. Unlike previous quantum SMPC protocols, our proposal only requires very limited quantum resources from all but one party; it suffices that the weak parties, i.e. the clients, are able to prepare single-qubit states in the X-Y plane. The novel quantum SMPC protocol is constructed in a naturally modular way, and relies on a new technique for quantum verification that is of independent interest. This verification technique requires the remote preparation of states only in a single plane of the Bloch sphere. In the course of proving the security of the new verification protocol, we also uncover a fundamental invariance that is inherent to measurement-based quantum computing.

Available format(s)
Category
Cryptographic protocols
Publication info
Preprint.
Keywords
Quantum VerificationDelegated ComputationSecure Multi-Party ComputationDistributed Quantum Computing
Contact author(s)
t kapourniotis @ warwick ac uk
ekashefi @ inf ed ac uk
dominik leichtle @ lip6 fr
luka music @ quandela com
harold ollivier @ inria fr
History
2023-03-16: approved
See all versions
Short URL
https://ia.cr/2023/379

CC BY-NC-SA

BibTeX

@misc{cryptoeprint:2023/379,
author = {Theodoros Kapourniotis and Elham Kashefi and Dominik Leichtle and Luka Music and Harold Ollivier},
title = {Asymmetric Quantum Secure Multi-Party Computation With Weak Clients Against Dishonest Majority},
howpublished = {Cryptology ePrint Archive, Paper 2023/379},
year = {2023},
note = {\url{https://eprint.iacr.org/2023/379}},
url = {https://eprint.iacr.org/2023/379}
}

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