3 papers
math.DS2026
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 …
math.CO2026
Benign nonconvexity of synchronization landscape induced by graph skeletons
Hongjin Wu, Ulrik Brandes
We study the homogeneous Kuramoto model on a graph and the geometry of its underlying optimization landscape $\min_{\boldsymbol θ\in \mathbb R^n}-\sum_{1\leq i,j\leq n} A_{ij}\cos…
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…