Quantum computing's most credible near-term commercial application is molecular chemistry simulation. Classical computers struggle because quantum state descriptions grow exponentially with particle count — simulating even a caffeine molecule would require ~10⁴⁸ classical bits. Quantum processors can represent molecular states directly using encodings like Jordan-Wigner transformations, needing only a linear qubit increase per particle. Chemistry problems also require fewer qubits and shallower circuits than headline applications like breaking RSA encryption, making them achievable sooner. Current hybrid approaches pair quantum processors (running algorithms like VQE) with classical supercomputers. Recent milestones include Quantinuum's error-corrected chemistry workflow (May 2025), IonQ and AstraZeneca achieving a 20x speedup in drug synthesis simulation, and IBM coupling a quantum processor to Japan's Fugaku supercomputer for biological molecule modeling. Key targets include protein-drug binding, solid-state batteries, green hydrogen catalysts, and fertilizer chemistry. McKinsey estimates quantum computing could unlock $400B in life sciences by 2035.