Grover Amplification by Hand

Explain Grover search to analysts who know brute-force search but not amplitude amplification. Prepare uniform amplitudes -> phase-mark good states -> reflect to amplify -> measure The common trap is claiming the algorithm checks every candidate and returns the answer immediately. That hides the oracle and the amplification iterations. Prepare Put candidate labels into a uniform superposition so amplitudes begin evenly distributed. This is setup, not speedup by itself. Mark Use an oracle to flip the phase of candidate states that satisfy the predicate. The oracle encodes the problem. If this is expensive, the headline speedup may not help. Amplify…

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