12 domain-specific modules mapping real physical systems to coupled Kuramoto-XY quantum simulation.
A power grid is a network of generators and loads that must all turn at one common frequency. Each machine's rotor angle follows a Kuramoto equation — $\dot\delta_i = P_i + \sum_j K_{ij}\sin(\delta_j-\delta_i)$ — where $P_i$ is the power it injects ($+$ for a generator, $-$ for a load) and $K_{ij}$ is the line capacity between buses (Dörfler & Bullo, Automatica 2014). The grid holds together only while the lines can carry the power the imbalance demands; starve the capacity and machines slip out of step — a blackout. Below, a generation region feeds a load region across a ring; lower the line capacity and watch it lose lock.
The same networked Kuramoto kernel the platform runs at scale — integrated with fixed-step RK4, checked against the library reference to a few parts in $10^{15}$ — here with the rotor-angle reading of the coupling used in the applications.power_grid module. Real grids use measured susceptance and inertia on IEEE test topologies; this is the mechanism, not a specific network's stability margin. The library's grid work is a structural comparison to the SCPN coupling pattern, not a full swing-equation validation.
The Knm coupling matrix framework has been validated against 5 independent physical systems:
IEEE Power Grid Josephson Arrays EEG Neural Data ITER MHD Modes FMO Chromophores
Each system provides a natural coupling topology that maps directly to the XY Hamiltonian. The quantum simulation reproduces known classical behaviour in the weak-coupling limit and reveals genuinely quantum features (entanglement, Bell violation) in the strong-coupling regime.