Quantum energy landscape and circuit optimization

We study the effects of entanglement and control parameters on symmetry energy landscape optimization performance variational quantum circuit. Through a systematic analysis Hessian spectrum, we characterize local geometry at random point along an trajectory. argue that decreasing entangling capability increasing number circuit have same qualitative effect eigenspectrum. Both low-entangling abundance increase curvature nonflat directions, contributing to efficient search area-law entangled ground states as accuracy convergence speed.