Quantum counting algorithm

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  1. Quantum counting algorithm is a quantum algorithm for efficiently counting the number of solutions for a given search problem.[1]
  2. Different authors suggest different estimates for the success probability of a quantum counting algorithm.[2]
  3. Moreover, some authors use the direct quantum Fourier transform, while others, the inverse quantum Fourier transform in the quantum counting algorithm.[2]
  4. The Quantum Counting algorithm gives an exact count of the outputs of a quantum computation that satisfy a given criterion.[3]
  5. This is why in the first paper mentioned above Quantum Counting is presented as a special case of Amplitude Estimation.[3]
  6. That's where Quantum Counting can help.[3]
  7. But we can also use Quantum Counting to find out if there are solutions that are equal to, or less than, a given value, as two different options.[3]
  8. A simpler quantum counting algorithm based on amplitude amplification is presented.[4]
  9. Quantum counting algorithm is a quantum algorithm for counting the number of solutions for a given search problem.[5]
  10. We discuss a quantum counting algorithm which transforms a physical particle-number state (and superpositions thereof) into a binary number.[6]
  11. We give generalized quantum counting algorithm to increase universality of quantum counting algorithm.[7]
  12. We give the reason why quantum counting algorithm is invalid on this situation.[7]
  13. Abstract Quantum counting is one of the well-known problems in which the application of quantum parallelism speeds up computations.[8]
  14. The quantum counting algorithm is especially noteworthy since it combines ideas from both Grover’s algorithm and phase estimation.[9]
  15. Moreover, quantum counting is practically useful as it can be used as a preliminary step in a quantum search when the number of solutions to the search problem is not known a priori.[9]

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  • [{'LOWER': 'quantum'}, {'LOWER': 'counting'}, {'LEMMA': 'algorithm'}]