One-Way Functions Imply Secure Computation in a Quantum World

2020/11/26 by Bartusek, James, Coladangelo, Andrea, Khurana, Dakshita +1 · 2 citations
#Cryptography and Security (cs.CR) #FOS: Computer and information sciences #FOS: Physical sciences #Quantum Physics (quant-ph)

paper · doi:10.48550/arxiv.2011.13486

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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• Quantum Cryptography and Hardness of Non-Collapsing Measurements
• On the Limitations of Pseudorandom Unitaries

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