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Quantum Foundations

Generalized Deutsch-Jozsa Algorithm for Applications in Data Classification, Logistic Regression, and Quantum Key Distribution

arXiv

Authors: M. Ghadimi, V. Salari, S. Bakrani, M. Zomorodi, N. Gohari-Kamel, S. Moradi, D. Oblak

Year

2025

Paper ID

16445

Status

Preprint

Abstract Read

~2 min

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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.

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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...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2512.00715 [2] arXiv https://arxiv.org/abs/2512.00715 [3] Publisher https://arxiv.org/abs/2512.00715

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