FA-90903 / Quantum circuit simulation / Member archive

Marginal treats near-zero norm with exact equality · case 03

A register whose amplitudes are about 1e-8 is normalized into a confident distribution instead of reporting "zero-state".

Member previewVariant 3 · 3 implementations · 7 checks per implementation

Case contract

Input [n, amps, qubits]; amps are 2**n [re, im] pairs (qubit 0 = LSB), possibly unnormalized. Return the marginal outcome distribution over the listed qubits as {bitstring: probability} where the first listed qubit is the rightmost character, probabilities are normalized by the total squared norm, rounded to 6 decimals after summation, and zero entries are omitted. Errors: "bad-length", "duplicate-qubit", "bad-qubit", "zero-state" (total squared norm <= 1e-12).

Why this case matters

Marginal readout distributions are what users compare against hardware counts; ordering or normalization slips mislabel every histogram.

One recorded failure

Sample boundary fixture

This sample comes from the broken implementation of a controlled reproducer.

Boundary fixture	Actual	Expected	Outcome
regression: near zero state	`{"0": 0.5, "1": 0.5}`	`"zero-state"`	Failed

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