Generalized Deutsch-Jozsa Algorithm for Applications in Data Classification, Logistic Regression, and Quantum Key Distribution
Quantum Physics
2025-12-02 v1
Abstract
We present a generalized Deutsch-Jozsa (DJ) quantum algorithm that not only determines both the global type of an unknown Boolean function (constant or balanced) but also determines explicit output values of the function in a single oracle query. Unlike the original DJ algorithm, which identifies only whether a function is constant or balanced, our generalization retrieves actual function output values at the same time with using a Bell state as ancilla. This makes a richer function characterization with minimal queries to have practical quantum advantages, e.g. data classification, logistic regression, and quantum cryptography.
Cite
@article{arxiv.2512.00715,
title = {Generalized Deutsch-Jozsa Algorithm for Applications in Data Classification, Logistic Regression, and Quantum Key Distribution},
author = {M. Ghadimi and V. Salari and S. Bakrani and M. Zomorodi and N. Gohari-Kamel and S. Moradi and D. Oblak},
journal= {arXiv preprint arXiv:2512.00715},
year = {2025}
}