Quantum algorithm for k-minima with O(sqrt(k N)) query complexity via threshold search and generalized amplitude amplification.
In the case of 2, which is the best case, such t is ob- tained by finding maximum algorithm [26]
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A Quantum Algorithm for Finding $k$-Minima
Quantum algorithm for k-minima with O(sqrt(k N)) query complexity via threshold search and generalized amplitude amplification.