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arXiv

BLaDE force-directed embedding directly optimizes interactions, cutting register-embedding error by orders of magnitude

The work introduces BLaDE (Balanced Latently Dimensional Embedder), a force-directed register-embedding algorithm for neutral-atom quantum processors that directly minimizes interaction-matrix error via balanced force weights, escapes local minima using transient latent dimensions, and enforces hardware distance-ratio constraints with a scaling-in-the-loop mechanism; on weighted random matrices and the MUTAG, ZINC, and PTC-FM molecular-graph benchmarks, it improves embedding feasibility and solution quality by orders of magnitude over baselines including spring layout, Greedy, Nelder-Mead, L-BFGS, MDS, and GEAN, and remains reliable on the largest instances.