What Are Quantum Computers Used For?
Chemistry and materials simulation is the application with the clearest theoretical case: modeling molecules and materials at the quantum level is something classical computers scale extremely poorly at, and it's the original reason quantum computing was proposed. Pharmaceutical and materials companies run active research programs here, though a demonstrated, verified commercial advantage over classical methods at useful scale hasn't been publicly established yet.
Optimization (routing, scheduling, portfolio construction) is a heavily explored area, with banks, logistics firms, and industrials running pilot projects. Results so far are mixed and problem-specific; classical algorithms remain competitive or better for most real instances tested publicly to date.
Cryptography cuts both ways: Shor's algorithm is why governments and standards bodies (NIST among them) are actively pushing organizations toward post-quantum cryptography now, years before a cryptographically-relevant quantum computer is expected to exist. Separately, quantum key distribution is being piloted as a physically different way to detect eavesdropping on sensitive links.
The honest summary: quantum computing today is closer to where classical computing was in its research-lab era than to a mature, deployed technology. That's not a reason to dismiss it (the underlying physics and the specific proven speedups are real), but any claim of quantum computers already "solving" a real-world business problem better than classical methods deserves a source, not just a headline.
See how these applications actually run under the hood in the Simulations gallery.