Quantum security proofs using semi-classical oracles

Andris Ambainis; Mike Hamburg; Dominique Unruh

Paper 2018/904

Quantum security proofs using semi-classical oracles

Andris Ambainis, Mike Hamburg, and Dominique Unruh

Abstract

We present an improved version of the one-way to hiding (O2H) Theorem by Unruh, J ACM 2015. Our new O2H Theorem gives higher flexibility (arbitrary joint distributions of oracles and inputs, multiple reprogrammed points) as well as tighter bounds (removing square-root factors, taking parallelism into account). The improved O2H Theorem makes use of a new variant of quantum oracles, semi-classical oracles, where queries are partially measured. The new O2H Theorem allows us to get better security bounds in several public-key encryption schemes.

Note: Change history:<p> Version 2: Extended introduction. Discussion how bounds obtained in existing work change. Proof of Targhi-Unruh transform with the new O2H Theorem.<p> Version 3: Added disclaimer about flaw on front page. Minor editorial changes.

Metadata

Available format(s): PDF
Category: Foundations
Publication info: A minor revision of an IACR publication in CRYPTO 2019
Keywords: post-quantum cryptography quantum random oracle model one-way to hiding public-key encryption provable security
Contact author(s): unruh @ ut ee
mike @ shiftleft org
andris ambainis @ lu lv
History: 2021-12-09: last of 2 revisions; 2018-09-25: received; See all versions
Short URL: https://ia.cr/2018/904
License: CC BY

BibTeX

@misc{cryptoeprint:2018/904,
      author = {Andris Ambainis and Mike Hamburg and Dominique Unruh},
      title = {Quantum security proofs using semi-classical oracles},
      howpublished = {Cryptology {ePrint} Archive, Paper 2018/904},
      year = {2018},
      url = {https://eprint.iacr.org/2018/904}
}