FA-91273 / Quantum circuit simulation / Member archive

Rotation merger normalizes pi to minus pi · case 03

rz(pi/2) followed by rz(pi/2) is emitted as rz(-1) instead of rz(1).

Member previewVariant 3 · 3 implementations · 7 checks per implementation

Case contract

Input a gate list: ["rz", q, angle] (angle in units of pi as a fraction string), ["x", q], ["h", q], ["cx", c, t]. Scan left to right; a new gate looks back to the last op touching its qubit, except that rz may look past a cx whose control is that qubit. rz merges into a found rz, angles normalized to (-1, 1] and zero rotations dropped; x or h cancels a found identical gate. Return the optimized list with angles as fraction strings.

Why this case matters

Rotation merging and cancellation are the cheapest transpiler wins; commutation or normalization slips change circuit semantics.

One recorded failure

Sample boundary fixture

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

Boundary fixture	Actual	Expected	Outcome
regression: random peephole 17	`[["cx", 0, 2], ["x", 2], ["rz", 0, "-1"], ["h", 0]]`	`[["cx", 0, 2], ["x", 2], ["rz", 0, "1"], ["h", 0]]`	Failed

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This record includes three runnable implementations, regression fixtures, execution results, and source hashes.

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