Geometric inflation of deviations challenges neural quantum states in dynamics of quantum Ising models
The study investigates why Neural Quantum States (NQS) simulations of quantum Ising model quenches become inaccurate early on. It finds that parameter deviations are amplified geometrically through the rotation of the kernel of the Quantum Geometric Tensor (QGT). This null-space rotation serves as a diagnostic for sensitive NQS dynamics and suggests a geometric origin for errors, offering a path to improve Time-Dependent Variational Principle (TDVP) algorithms.