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arXiv · 2011.13486

One-Way Functions Imply Secure Computation in a Quantum World

James Bartusek·Andrea Coladangelo·Dakshita Khurana·Fermi Ma
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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.

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James Bartusek, Andrea Coladangelo, Dakshita Khurana, Fermi Ma. 2020-11-26. One-Way Functions Imply Secure Computation in a Quantum World. https://arxiv.org/abs/2011.13486

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