Hidden shift problem for complex functions
Quantum Physics
2025-07-28 v1
Abstract
We study quantum algorithms for the hidden shift problem of complex scalar- and vector-valued functions on finite abelian groups. Given oracle access to a shifted function and the Fourier transform of the unshifted function, the goal is to find the hidden shift. We analyze the success probability of our algorithms when using a constant number of queries. For bent functions, they succeed with probability 1, while for arbitrary functions the success probability depends on the `bentness' of the function.
Cite
@article{arxiv.2507.19440,
title = {Hidden shift problem for complex functions},
author = {Serge Adonsou and Peter Bruin and Maris Ozols and Joppe Stokvis},
journal= {arXiv preprint arXiv:2507.19440},
year = {2025}
}
Comments
34 pages