Chemistry & materials simulation
Nature is quantum, so simulating strongly-correlated electrons — catalysts, batteries, magnets, drug targets — is the application with the deepest physics behind it. In May 2026 Q-CTRL reported a ~3,000× speedup over performance-optimized classical software on a commercially relevant materials problem on IBM hardware, the first credible 'practical advantage' claim; IBM hardware has also simulated a 300-atom pharmaceutical system. This site's own VQE solves H₂ in your browser — the same idea at toy scale.
source: Q-CTRL, May 2026 ↗Breaking public-key cryptography — and replacing it
Shor's algorithm factors and takes discrete logs efficiently; a large fault-tolerant machine would break RSA and elliptic-curve cryptography. The practical consequence is already here: NIST finalized post-quantum standards in 2024 (ML-KEM, ML-DSA, SLH-DSA) and migrations are underway. Quantum key distribution (BB84 — play it in the arcade) is deployed today on real fiber links.
source: Assessing the benefits and risks (arXiv 2401.16317) ↗Quantum sensing & metrology
Not computing, but the nearest-term commercial win: entangled and squeezed states beat classical limits in magnetometry, timing, gravimetry and navigation without GPS. Devices ship now.
source: Myths, realities and futures (arXiv 2412.00987) ↗