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qcr:2606.53578.1

Quantum Machine Learning and Grover's Algorithm for Quantum Optimization of Robotic Manipulators

arXiv

Hassen Nigatu, Shi Gaokun, Li Jituo, +3 more

Optimizing high-degree of freedom robotic manipulators requires searching complex, high-dimensional configuration spaces, a task that is computationally challenging for classical methods. This paper introduces a quantum native framework that integrates quantum machine learning with Grover's algorithm to solve kinematic optimization problems efficiently. A parameterized quantum circuit is trained to approximate the forward kinematics model, which then constructs an oracle to identify optimal configurations. Grover's algorithm leverages this oracle to provide a quadratic reduction in search complexity. Demonstrated on simulated 1-DoF, 2-DoF, and dual-arm manipulator tasks, the method achieves significant speedups-up to 93x over classical optimizers like Nelder Mead as problem dimensionality increases. This work establishes a foundational, quantum-native framework for robot kinematic optimization, effectively bridging quantum computing and robotics problems.
10.48550/arxiv.2509.07216
Published 2025
Uploaded 3 days ago
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Jun 16, 2026
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