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One-Way Functions Imply Secure Computation in a Quantum World

Authors:
James Bartusek , UC Berkeley
Andrea Coladangelo , UC Berkeley
Dakshita Khurana , UIUC
Fermi Ma , Princeton University and NTT Research
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DOI: 10.1007/978-3-030-84242-0_17 (login may be required)
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Conference: CRYPTO 2021
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 quantum oblivious transfer.
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BibTeX
@inproceedings{crypto-2021-31229,
  title={One-Way Functions Imply Secure Computation in a Quantum World},
  publisher={Springer-Verlag},
  doi={10.1007/978-3-030-84242-0_17},
  author={James Bartusek and Andrea Coladangelo and Dakshita Khurana and Fermi Ma},
  year=2021
}