Chemistry
Molecular simulations classical DFT cannot handle.
Concept / Quantum Advantage
The moment a quantum computer solves a useful problem better than any classical one.
Quantum advantage is the milestone where a quantum computer solves a genuinely useful problem faster, cheaper, or more accurately than the best possible classical alternative. It is not the same as 'quantum supremacy,' which just means beating classical computers on any task — even a useless one.
The 53-qubit Sycamore ran a sampling task no supercomputer could match.
Supremacy is winning a contest that doesn't matter. Advantage is winning one that does.
In 2019 Google showed supremacy: 200 seconds for a task classical machines would take thousands of years for — but the task was useless.
Advantage is the real prize. Something a business would pay real money to solve, done better on a quantum machine. It hasn't happened yet — but it's close.
What already happened, and what's next for quantum advantage.
John Preskill coins the term 'quantum supremacy'.
Google claims quantum supremacy with Sycamore.
China's Jiuzhang photonic supremacy result.
IBM shows 'quantum utility' on a 127-qubit chip.
Multiple sampling-based advantage claims across ion and photonic systems.
First commercially valuable advantage in chemistry or optimization.
Molecular simulations classical DFT cannot handle.
Real logistical problems with billions of possibilities.
Quantum kernels and generative models on hard datasets.
Producing distributions that classical machines cannot reproduce.