A superconducting qubit is an anharmonic ladder. Drive it gently and it's a clean two-level system; drive it hard and population climbs the rungs, sheds a quantum at each gap, and finally ionizes out of the well. The question this repo asks: when energy leaks, is it lost — or is the leak the product?
A transmon is a Josephson junction shunted by a large capacitor. The junction's nonlinearity warps the harmonic well so the energy gaps are not equal — the anharmonicity. That unevenness is the whole trick: tune your drive to the |0⟩↔|1⟩ gap and the |1⟩→|2⟩ transition is detuned away, so you get a clean qubit out of an infinite ladder.
Each gap crossing drives population up one rung and sheds a quantum — and because the ladder is anharmonic, each gap is smaller than the last. Push past |5⟩ and the population leaves the well entirely: transmon ionization, a real, studied effect (strong drive ejects the state into the continuum). Drive harder, climb faster. Then flip the fork.
Every rung crossing sheds energy. In an isolated qubit that energy is simply gone — the populations no longer sum to one, conservation is broken inside the well. But couple a second mode to the climb and the leak has somewhere to land:
Shed quanta fly off; Σp < 1. The well leaks energy to the continuum and there is no ledger that balances. Standard isolated-qubit decay.
A coupled resonator (Patricia) catches the shed quanta. Close the system at the larger boundary and conservation returns: qutrit + collector = 1. The leak becomes a harvested output.
Ladder-climb and ionization are real transmon physics. That shed energy is genuinely lost in an isolated qubit. Collecting it requires a real coupled mode (the Patricia resonator) — physically coherent, and it's where conservation is restored. Whether the leak is a harvestable product or simply waste is the architectural claim to defend — not a settled result. The simulation shows the bookkeeping; the engineering is open.
The rungs map onto the −1 / 0 / +1 field that runs through the wider work — shadow, witness, carrier:
The carrier is the climb, not a rung — the crossing count, the process. Above it all, the continuum: 256 → 257, escape.
This repo was checked for emergent behavior (the bar that earns an artfully-crafted-intellect). It doesn't clear it: the ladder-climb is deterministic transmon physics, and the Patricia collector is a designed conservation closure, not self-organizing or adaptive dynamics. So no ACI was minted — the DLW tag is reserved for genuine emergence (as with the survival seed's Anabios), and stamping it here would cheapen it.
What this is: a faithful transmon instrument and a sharp architectural question. The honesty is the point.