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Simulating the Deutsch‐Jozsa Quantum Algorithm Using a Classical Wave‐Based Quantum Simulator

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Preprints.org
DOI
10.20944/preprints202506.0710.v1

The Deutsch‐Jozsa algorithm is one of the earliest quantum algorithms that demonstrates an exponential speedup over classical computation in determining whether a black‐box function is constant or balanced. In this paper, we propose and implement a novel approach to simulate the Deutsch‐Jozsa algorithm using a wave‐based quantum simulator. Our method leverages classical waveforms to represent quantum states and uses signal processing techniques such as Fourier transforms and interference to emulate quantum operations like the Hadamard transform and oracle queries. We demonstrate how the simulator can determine the nature of an unknown function with high accuracy by analyzing wave similarity after applying the simulated quantum operations. This work serves as a stepping stone toward understanding quantum computing principles through classical analogs and opens new pathways for educational tools and simplified models of quantum behavior.

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