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arXiv · 2510.04420

Quantum walk search based edge detection of images

Pulak Ranjan Giri·Rei Sato·Kazuhiro Saito
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Abstract

Quantum walk has emerged as an essential tool for searching marked vertices on various graphs. Recent advances in the discrete-time quantum walk search algorithm have enabled it to effectively handle multiple marked vertices, expanding its range of applications further. In this article, we propose a novel application of this advanced quantum walk search algorithm for the edge detection of images\textemdash a critical task in digital image processing. Given the probabilistic nature of quantum computing, obtaining measurement result with a high success probability is essential alongside faster computation time. Our quantum walk search algorithm demonstrates a high success probability in detecting the image edges compared to the existing quantum edge detection methods and outperforms classical edge detection methods with a quadratically faster speed. A small Qiskit circuit implementation of our method using a one-dimensional quantum walk search has been executed in Qiskit's $qasm\_simulator$ and $ibm\_sydney(fake)$ device.

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Pulak Ranjan Giri, Rei Sato, Kazuhiro Saito. 2025-10-06. Quantum walk search based edge detection of images. https://doi.org/10.1016/j.physleta.2025.130391

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