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What applications does Grover's SeachSearch Algorithm have?

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What applications does Grover's Seach Algorithm have?

Grover's Search algorithm is usually talked about in terms of finding a marked entry in an unsorted database. This is a natural formalism that lets it be applied directly to searching for solutions to NP problems (where a good solution is easily recognised).

I was interested to learn about other applications of Grover's search to finding the minimum, mean and median of a set of numbers. That leaves me wondering if there are any other less-obvious applications of Grover's search (or applications of its generalisations such as amplitude amplification) which are already known? Any brief insight about how this is done would be appreciated.