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Grover's Algorithm for Image Edge Detection

2025/08/30 by Pulak Ranjan Giri, Kazuhiro Saito
Computer Science · #Quantum Computing Algorithms and Architecture #Quantum-Dot Cellular Automata #Quantum Information and Cryptography

paper · pdf · doi:10.1109/qce65121.2025.10405

Abstract

Grover's algorithm is one of the most significant quantum algorithms, enabling the search for a marked element in an unsorted database quadratically faster than classical search algorithms. We utilize Groves's algorithm to detect the edges of a digital image faster than any classical edge detection methods. The high success probability of our method in detecting image edges, compared to most existing quantum edge detection methods, makes it a more suitable candidate for use in the presence of noise on current quantum devices. We implemented our model for the <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">2 × 2</tex> blocks of the image using a two-qubit Qiskit circuit with the QASM simulator and the noisy IBM Sydney(fake) device, making it suitable for most of the current NISQ devices.

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