The quantum query complexity of approximating the median and related statistics
STOC '99 Proceedings of the thirty-first annual ACM symposium on Theory of computing
Quantum computation and quantum information
Quantum computation and quantum information
ICALP '98 Proceedings of the 25th International Colloquium on Automata, Languages and Programming
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We present a quantum algorithm for finding the most often occurring (or modal) value of a data set. We thereby supplement other algorithms that can determine the mean value or similar quantities. Our algorithm requires the combined use of quantum counting and extended quantum search.