Small-world structure of quantum computer hardware

What the math gives to ML

The paper provides a constructive graph criterion for detecting the onset of global quantum connectivity: retain a transition edge only when its residual interaction exceeds the local energy-level spacing, then monitor the emergence of a giant connected component. This Åberg network percolation transition coincides with quantum-chaos and dynamical-thermalization thresholds, while avoiding full exact diagonalization. A transferable neural-network mechanism is adaptive interaction sparsification: construct a graph of neuron, token, or module couplings from the current linearized interaction strength divided by a local response-spacing scale, and activate edges when they pass the criterion. The key falsifiable prediction is a sharp performance or information-propagation transition when the retained graph's mean degree crosses its giant-component threshold.