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One-Way Functions Imply Secure Computation in a Quantum World

arXiv
Authors: James Bartusek, Andrea Coladangelo, Dakshita Khurana, Fermi Ma

Year

2020

Paper ID

18954

Status

Preprint

Abstract Read

~2 min

Abstract Words

75

Citations

N/A

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 Crépeau-Kilian (FOCS 1988) framework with these commitments yields simulation-secure QOT.

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  • 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...

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