Eve Count Quantum Systems · 04 · Classical-to-quantum triage. Select the architectural plate to inspect full size.

04 · Classical-to-quantum triage

Production systems are hybrid by architecture: classical code owns pre-processing, decomposition, and fallback.

Even when a workload contains a tightly coupled combinatorial core, 80% of the surrounding pipeline—data ingestion, constraint pruning, variable freezing, and post-solution validation—remains strictly classical.

Dynamic workload routing

Rather than hard-wiring an application to a single solver, an enterprise harness inspects problem structure at runtime and routes each sub-problem to the appropriate tier:

Coupling Density	Variables ($N$)	SLA Window	Recommended Route
< 0.15 or Linear	Any	Any	CLASSICAL_MIP_OR_GREEDY
Any	Any	< 50 ms	CLASSICAL_DETERMINISTIC_FAST_PATH
0.15 – 0.24	< 24	>= 50 ms	CLASSICAL_METAHEURISTIC
>= 0.25	>= 24	>= 50 ms	HYBRID_QUBO_CANDIDATE

Let's verify how the triage router distinguishes a linear-relaxable warehouse replenishment task from a densely coupled pit-to-port blending schedule:

from examples.combinatorial_triage import WorkloadSpec, triage_workload

linear_job = WorkloadSpec(
    name="standard_inventory_replenishment",
    decision_variables=200,
    coupling_density=0.04,
    hard_constraints=20,
    sla_budget_ms=5000,
    is_linear_relaxable=True,
)

coupled_job = WorkloadSpec(
    name="pit_to_port_ore_blending",
    decision_variables=64,
    coupling_density=0.41,
    hard_constraints=18,
    sla_budget_ms=3000,
)

assert triage_workload(linear_job).route == "CLASSICAL_MIP_OR_GREEDY"
assert triage_workload(coupled_job).route == "HYBRID_QUBO_CANDIDATE"

Try with your AI coding assistant

Ask your assistant: "Design a decomposition step that freezes variables with zero conflicts before building the QUBO matrix, reducing the effective variable count sent to the solver."

Checkpoint

Your architecture diagram must show a deterministic classical fallback alongside any hybrid solver call so that if a remote queue times out or returns an infeasible sample, operations continue uninterrupted using the classical baseline.