  Non-stabilizer states are a fundamental resource for universal quantum
computation. However,despite broad significance in quantum computing, the
emergence of "many-body" non-stabilizerness in interacting quantum systems
remains poorly understood due to its analytical intractability. Here we show
that Rydberg atom arrays provide a natural reservoir of non-stabilizerness that
extends beyond single qubits and arises from quantum correlations engendered by
the Rydberg blockade. We demonstrate that this non-stabilizerness can be
experimentally accessed in two complementary ways, either by performing quench
dynamics or via adiabatic ground state preparation. Using the analytical
framework based on matrix product states, we explain the origin of Rydberg
nonstabilizerness via a quantum circuit decomposition of the wave function.
