A Parameterised Quantum Circuit Approach to Point Set Matching
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Point set registration is one of the challenging tasks in areas such as pattern recognition, computer vision and image processing. Efficient performance of this task has been a hot topic of research due to its widespread applications. We propose a parameterised quantum circuit learning approach to point set matching problem. The proposed method benefits from a kernel-based quantum generative model that: 1) is able to find all possible optimal matching solution angles, 2) is potentially able to show quantum learning supremacy, and 3) benefits from kernel-embedding techniques and integral probability metrics for the definition of a powerful loss function. Moreover, the theoretical framework has been backed up by satisfactory preliminary and proof of concept experimental results.
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