English

One-Way Functions Imply Secure Computation in a Quantum World

Quantum Physics 2024-08-06 v3 Cryptography and Security

Abstract

We prove that quantum-hard one-way functions imply simulation-secure quantum oblivious transfer (QOT), which is known to suffice for secure computation of arbitrary quantum functionalities. Furthermore, our construction only makes black-box use of the quantum-hard one-way function. Our primary technical contribution is a construction of extractable and equivocal quantum bit commitments based on the black-box use of quantum-hard one-way functions in the standard model. Instantiating the Cr\'epeau-Kilian (FOCS 1988) framework with these commitments yields simulation-secure QOT.

Keywords

Cite

@article{arxiv.2011.13486,
  title  = {One-Way Functions Imply Secure Computation in a Quantum World},
  author = {James Bartusek and Andrea Coladangelo and Dakshita Khurana and Fermi Ma},
  journal= {arXiv preprint arXiv:2011.13486},
  year   = {2024}
}
R2 v1 2026-06-23T20:32:19.466Z