Dynamic Programming (DP) is a problem-solving technique that can be used on problems that can be broken down into subproblems. More formally, we can apply dynamic programming when the optimal substructure and overlapping substructure properties hold true.

Quantum computing represents a fundamental shift in computation. By harnessing the principles of quantum mechanics (superposition and entanglement), such machines can solve certain highly complex problems exponentially faster than classical computers. While significant engineering hurdles currently limit their widespread adoption, ongoing research and development suggests a future where quantum systems will act as powerful, specialized accelerators alongside our traditional technologies.