No, a true quantum computer will not necessarily solve NP-complete (NPC) problems efficiently. Quantum algorithms like Grover’s provide quadratic speedups, but this is insufficient to turn exponential-time solutions into polynomial-time ones. While quantum computers excel in specific tasks (e.g., Shor’s algorithm for factoring), there’s no evidence they can solve all NP-complete problems efficiently.

Current complexity theory suggests that , the class of problems solvable by quantum computers, does not encompass . Quantum computers may aid in approximations or heuristics for NPC problems but won’t fundamentally resolve them in polynomial time unless , which remains unlikely.