Separations in query complexity using cheat sheets

STOC '16: Symposium on Theory of Computing Cambridge MA USA June, 2016, pp. 863-876, 2016.

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Abstract:

We show a power 2.5 separation between bounded-error randomized and quantum query complexity for a total Boolean function, refuting the widely believed conjecture that the best such separation could only be quadratic (from Grover's algorithm). We also present a total function with a power 4 separation between quantum query complexity and...More

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