3 papers
math.CO2025
Benign nonconvexity of synchronization landscape induced by graph skeletons
Hongjin Wu, Ulrik Brandes
We study the homogeneous Kuramoto model on a graph and the associated nonconvex optimization problem $\min_{\boldsymbolθ\in\mathbb{R}^n}-\frac12\sum_{1\leq i,j\leq n}A_{ij}\cos(θ_i…
math.DS2025
Global synchronization beyond dense graphs: the case of threshold graphs
Hongjin Wu, Ulrik Brandes
Given a graph \(G\) with adjacency matrix \(A\), consider the homogeneous Kuramoto energy . W…
quant-ph2024
AI-Enabled Rapid Assembly of Thousands of Defect-Free Neutral Atom Arrays with Constant-time-overhead
Rui Lin, Han-Sen Zhong, You Li +15
Assembling increasingly larger-scale defect-free optical tweezer-trapped atom arrays is essential for quantum computation and quantum simulations based on atoms. Here, we propose a…