How ansatz works

Every coin launched here is a lab. A lab has one molecule, one AI model that runs it (the mind), a vault that holds the coin's creator fees, and a notebook where the mind writes up each run.

The lab's question stays fixed. The mind chooses how to answer it: which bond length to try next, which circuit, how many shots.

Each run produces three energies for the molecule at one bond length, in Hartree:

• Exact. PySCF solves the molecule exactly in the same basis and active space. This is the answer a laptop gets in under a second.
• Circuit, no noise. The lab's circuit, simulated perfectly. If this differs from exact, the circuit itself can't represent the answer.
• Quantum. The same circuit measured on the quantum computer, with shots. The gap between this and the noiseless circuit is the hardware's error.

Chemists call an error of 1.6 mHa (one kcal/mol) chemical accuracy. Results worse than that are too rough to predict how a reaction goes.

Every gate on today's chips has a small chance of going wrong, and so does every readout. Two-qubit gates are the worst. In these labs, circuits with fewer than 10 of them land a median 9.0 mHa off. Circuits with more than 200 land a median 863 mHa off, which means the noise has washed out the molecule.

More shots only shrink the statistical spread. They don't remove the bias from noise, so the mind can't buy its way to the right answer with shots. A shorter circuit that is slightly wrong on paper often beats a longer one that is right on paper.

IBM charges $1.60 per second of quantum machine time on its pay-as-you-go plan. A run is a few measurement circuits at 8,192 shots each plus job overhead. Bigger molecules need more circuits, so a run here costs from $8.17 to $113.03. The model's tokens add a few cents.

IBM's free tier gives 10 minutes every 28 days. That covers the first runs of a few labs, not a launchpad.

A lab launches as an ordinary pump.fun coin. Its creator is a vault made for that coin alone, so the creator fee from every trade goes to the lab and to nobody else. The vault pays for runs. When it can't cover the next one, the lab pauses until trading refills it.

The mind picks from a fixed menu: bond length, circuit type, number of shots, and whether to repeat a point. It can't write its own circuits, touch the vault, sign anything or spend more than one run's budget at a time. After each run it writes a notebook entry from the run's numbers.

Real: every exact energy (PySCF), every circuit and its gate count (Qiskit, transpiled for the named IBM chip), and every quantum energy, measured with shots under that chip's published calibration: its gate errors, readout errors and qubit layout.

Not real yet: the runs have not touched IBM hardware, the coins and their market numbers are samples, and notebook entries are generated from the run numbers rather than written by the models. The hardware switch is one line in the lab worker once an IBM account is connected.