Quantum Permutation Synchronization

Tolga Birdal, Vladislav Golyanik, Christian Theobalt, Leonidas Guibas
2021 2021 IEEE/CVF Conference on Computer Vision and Pattern Recognition (CVPR)  
We present QuantumSync, the first quantum algorithm for solving a synchronization problem in the context of computer vision. In particular, we focus on permutation synchronization which involves solving a non-convex optimization problem in discrete variables. We start by formulating synchronization into a quadratic unconstrained binary optimization problem (QUBO). While such formulation respects the binary nature of the problem, ensuring that the result is a set of permutations requires extra
more » ... re. Hence, we: (i) show how to insert permutation constraints into a QUBO problem and (ii) solve the constrained QUBO problem on the current generation of the adiabatic quantum computers D-Wave. Thanks to the quantum annealing, we guarantee global optimality with high probability while sampling the energy landscape to yield confidence estimates. Our proofof-concepts realization on the adiabatic D-Wave computer demonstrates that quantum machines offer a promising way to solve the prevalent yet difficult synchronization problems.
doi:10.1109/cvpr46437.2021.01292 fatcat:homzpo4abfaq7cqhxyhyu6surm