MiniQCrypt is a world where quantum-secure one-way functions exist, and quantum communication is possible. We construct an oblivious transfer (OT) protocol in MiniQCrypt that achieves simulation-security in the plain model against malicious quantum polynomial-time adversaries, building on the foundational work of Bennett, Brassard, Cr\'epeau and Skubiszewska (CRYPTO 1991). Combining the OT protocol with prior works, we obtain secure two-party and multi-party computation protocols also in MiniQCrypt. This is in contrast to the classical world, where it is widely believed that one-way functions alone do not give us OT. In the common random string model, we achieve a constant-round universally composable (UC) OT protocol.
@article{arxiv.2011.14980,
title = {Oblivious Transfer is in MiniQCrypt},
author = {Alex B. Grilo and Huijia Lin and Fang Song and Vinod Vaikuntanathan},
journal= {arXiv preprint arXiv:2011.14980},
year = {2020}
}