Public-Key Quantum Money From Standard Assumptions (In The Generic Model)

Jake Doliskani

Paper 2025/092

Public-Key Quantum Money From Standard Assumptions (In The Generic Model)

Jake Doliskani

, McMaster University

Abstract

Our main result is a quantum polynomial-time reduction from the group action discrete logarithm (DLP) problem to a specific cloning problem. A consequence of this result is that the public-key quantum money scheme proposed by Zhandry (2024), which is based on abelian group actions, is secure in the generic group action model. Specifically, our result shows that breaking the quantum money scheme is equivalent, under quantum polynomial-time reductions, to solving the group action DLP. An immediate implication of our result concerns the relationship between cloning and preparing Fourier states: our main theorem shows that the problem of cloning group action Fourier states is equivalent to the problem of preparing them.

Metadata

Available format(s): PDF
Category: Public-key cryptography
Publication info: Preprint.
Keywords: Quantum Money Quantum Cryptography
Contact author(s): jake doliskani @ mcmaster ca
History: 2025-07-09: last of 2 revisions; 2025-01-21: received; See all versions
Short URL: https://ia.cr/2025/092
License: CC BY

BibTeX

@misc{cryptoeprint:2025/092,
      author = {Jake Doliskani},
      title = {Public-Key Quantum Money From Standard Assumptions (In The Generic Model)},
      howpublished = {Cryptology {ePrint} Archive, Paper 2025/092},
      year = {2025},
      url = {https://eprint.iacr.org/2025/092}
}