But what is quantum computing? (Grover's Algorithm)

Qubits, state vectors, and Grover's algorithm for search.

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Adam Brown's paper on the connection between Grover's Algorithm and block collisions:

If you want to learn the relevant underlying quantum mechanics here, a very friendly resource is the course Mithuna at Looking Glass Universe is currently putting together. See, for instance, this explainer of a qubit:

If you want to learn more about the fundamentals of quantum computing, my friends Michael Nielsen and Andy Matuschak put together this wonderful resource, aimed at ensuring long-term memory of core concepts:

BBBV Theorem:

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