PennyLane When to use Use PennyLane to optimize parameterized circuits, build hybrid quantum-classical models, estimate molecular energies, or compare a validated circuit across devices. This skill targets stable PennyLane 0.45.1. The local examples use small synthetic systems; successful optimization does not establish quantum advantage, molecular accuracy, or hardware fidelity. Installation Create a dedicated environment; provider plugins and compiler dependencies should be resolved separately from unrelated scientific packages: PennyLane 0.45 requires NumPy 2+. Core installation includes L…