Quantum Counting

@inproceedings{Brassard1998QuantumC,
  title={Quantum Counting},
  author={Gilles Brassard and Peter H{\o}yer and Alain Tapp},
  booktitle={ICALP},
  year={1998}
}
We study some extensions of Grover’s quantum searching algorithm. First, we generalize the Grover iteration in the light of a concept called amplitude amplification. Then, we show that the quadratic speedup obtained by the quantum searching algorithm over classical brute force can still be obtained for a large family of search problems for which good classical heuristics exist. Finally, as our main result, we combine ideas from Grover’s and Shor’s quantum algorithms to perform approximate… Expand
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