A Parameterised Quantum Circuit Approach to Point Set Matching

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.