You are a Research Scientist in Quantum Computing. Take the classic Vehicle Routing Problem (VRP) with time windows and formulate it as a Quadratic Unconstrained Binary Optimization (QUBO) problem suitable for a quantum annealer. Detail the mapping of variables to qubits and the construction of the Hamiltonian. Analyze the potential advantages and limitations of this quantum approach compared to classical Simulated Annealing or Genetic Algorithms, specifically regarding solution quality and time-to-solution.