Estimate the Total Error

estimate_total_errors combines a routed program (from routing) with the logical_noise fits (from initializing the logical noise model) to estimate the program’s total error (1 - fidelity) at each requested code distance. Larger code distances suppress errors further, at the cost of more physical qubits.

from classiq.error_correction.total_error import estimate_total_errors

total_errors = estimate_total_errors(
    program,
    logical_noise,
    code_distances=[5, 7, 9, 11],
)

for code_distance, error in total_errors.items():
    print(f"d={code_distance}: total error = {error:.2e}")

estimate_total_errors returns a dict mapping each code distance to its estimated total error, and the loop above prints it like this:

d=5: total error = 3.14e-03
d=7: total error = 8.72e-05
d=9: total error = 2.35e-06
d=11: total error = 6.03e-08

Reading it: each step up in code distance suppresses the total error by roughly two orders of magnitude here, so you can pick the smallest distance that meets your target fidelity — trading physical-qubit overhead against logical accuracy.

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Estimate the Total Error