FA-91283 / Quantum circuit simulation / Member archive

Rotation merger keeps a merged identity rotation · case 03

rz(3pi/4) followed by rz(5pi/4) leaves an rz(0) in the output.

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 50	`[["rz", 1, "0"], ["h", 1]]`	`[["h", 1]]`	Failed

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