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arXiv · 2507.19440

Hidden shift problem for complex functions

Serge Adonsou·Peter Bruin·Maris Ozols·Joppe Stokvis
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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.

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Serge Adonsou, Peter Bruin, Maris Ozols, Joppe Stokvis. 2025-07-25. Hidden shift problem for complex functions. https://arxiv.org/abs/2507.19440

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