QEC research: prototype qLDPC-style workload IR and resource model

[arniber21]

What to build

Prototype an abstract qLDPC-style QEC workload path focused on compiler/resource modeling, not full decoding or threshold validation.

The first slice should represent a parity-check graph, generate syndrome-extraction workload structure, and estimate neutral-atom-relevant resource pressure such as check weight, connectivity demand, ancilla demand, measurement rounds, and movement pressure.

Acceptance criteria

• Add an abstract code-family representation for qLDPC-style workloads using parity-check graph metadata.
• Generate a syndrome-extraction workload from a small toy parity-check graph.
• Emit resource estimates for check weight, ancilla count, measurement rounds, movement/connectivity pressure, and peak atom demand.
• Add at least one toy example and one golden resource report.
• Unsupported features fail clearly: no full decoder, no threshold claim, no hardware-specific calibration claim.
• Documentation explains the scope as a compiler/resource-model prototype.

Blocked by

None - can start immediately, but design review is recommended before implementation.