NDFA has maximum states as 2^n the same for qubits in quantum computation.How they can be distinguished in means of computation?

Question

I am a Computer Engineer. I studied basics of Quantum Computation. In dealing with multiple states, I feel NDFA does similar to Quantum Computation but we preferred to convert NDFA to DFA and solved problems. But in era of Quantum we prefer this multiple state quantum property to deal with major NP problems. Why? Where they both looks similar and where they differ in terms of Computation