FA-91202 / Quantum circuit simulation / Member archive

Grover planner omits the initial rotation from the success angle · case 02

Success probabilities are reported for angle 2k theta, underestimating the achievable probability.

Member previewVariant 2 · 3 implementations · 7 checks per implementation

Case contract

Input [N, M]. "invalid" if N < 1, M < 0 or M > N; "no-solution" if M == 0; if 2M >= N return {"iterations": 0, "success": M/N}; else theta = asin(sqrt(M/N)), k = floor(pi/(4 theta)) and success = sin^2((2k+1) theta). Probabilities rounded to 6 decimals.

Why this case matters

Choosing the Grover iteration count wrongly overshoots the amplitude peak and collapses the success probability.

One recorded failure

Sample boundary fixture

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

Boundary fixture	Actual	Expected	Outcome
regression: N=9 M=4	`{"iterations": 1, "success": 0.987654}`	`{"iterations": 1, "success": 0.663923}`	Failed

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