How many functions can be distinguished with k quantum queries?

Physics – Quantum Physics

Scientific paper

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5 pages. Lower bound on sorting n items improved to (1-epsilon)n quantum queries. Minor changes to text and corrections to ref

Scientific paper

10.1103/PhysRevA.60.4331

Suppose an oracle is known to hold one of a given set of D two-valued
functions. To successfully identify which function the oracle holds with k
classical queries, it must be the case that D is at most 2^k. In this paper we
derive a bound for how many functions can be distinguished with k quantum
queries.

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