The BHT algorithm uses this algorithm to make only Big-O of N to the one-third queries to solve the collision problem.
The BHT algorithm uses this algorithm to make only Big-O of N to the one-third queries to solve the collision problem. A key component of this algorithm is a function that returns 1 if a query is a solution and 0 if it is not, which is implemented by an "oracle". This algorithm contains a namesake process that should be iterated pi-over-4 times the square root of N-over-M times to maximize correctness, where N is the number of entries and M is the number of solutions. This algorithm starts by considering a uniform superposition (*) of all possible values. A namesake diffusion operator is then iteratively applied, and then a measurement is made to determine the solution with high probability. If the oracle detects a solution, the oracle qubit is flipped. This algorithm uses logarithmic space, and it sees a quadratic speedup over the optimal classical algorithm as it runs in Big-O of square root of n time. For 10 points, name this quantum searching algorithm.
The BHT algorithm uses this algorithm to make only Big-O of N to the one-third queries to solve the collision problem.
Grover's algorithm