Paper 2020/1487 Original: eprint.iacr.org/2020/1487 ↗

One-Way Functions Imply Secure Computation in a Quantum World

James Bartusek
Andrea Coladangelo
Dakshita Khurana
Fermi Ma
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.

Metadata
Available format(s)
PDF
Category
Cryptographic protocols
Publication info
Preprint.
History
2021-08-13: last updated
2020-11-29: published
Short URL
https://ia.cr/2020/1487
License
https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2020/1487,
      author = {James Bartusek and Andrea Coladangelo and Dakshita Khurana and Fermi Ma},
      title = {One-Way Functions Imply Secure Computation in a Quantum World},
      howpublished = {Cryptology {ePrint} Archive, Paper 2020/1487},
      year = {2020},
      url = {https://eprint.iacr.org/2020/1487}
}
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