Tight Bounds on Quantum Searching ?

  title={Tight Bounds on Quantum Searching ?},
  author={Michel Boyer and Gilles Brassard and Alain Tapp},
We provide a tight analysis of Grover’s recent algorithm for quantum database searching. We give a simple closed-form formula for the probability of success after any given number of iterations of the algorithm. This allows us to determine the number of iterations necessary to achieve almost certainty of finding the answer. Furthermore, we analyse the behaviour of the algorithm when the element to be found appears more than once in the table and we provide a new algorithm to find such an… CONTINUE READING
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