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), 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. Two immediate implications of our results are: i) A separation between quantum money and quantum lightning. This separation arises because our reduction is non-uniform, and quantum lightning is not secure against non-uniform adversaries. ii) Cloning vs. preparing Fourier states. Our main theorem shows that the problem of cloning group action Fourier states is equivalent to the problem of preparing these states.

Metadata
Available format(s)
PDF
Category
Public-key cryptography
Publication info
Preprint.
Keywords
Quantum MoneyQuantum Cryptography
Contact author(s)
jake doliskani @ mcmaster ca
History
2025-01-23: revised
2025-01-21: received
See all versions
Short URL
https://ia.cr/2025/092
License
Creative Commons Attribution
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}
}
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