Simplified Quantum Algorithm for the Oracle Identification Problem

09/08/2021

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by   Leila Taghavi, et al.

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In the oracle identification problem we have oracle access to bits of an unknown string x of length n, with the promise that it belongs to a known set C⊆{0,1}^n. The goal is to identify x using as few queries to the oracle as possible. We develop a quantum query algorithm for this problem with query complexity O(√(nlog M /log(n/log M)+1)), where M is the size of C. This bound is already derived by Kothari in 2014, for which we provide a more elegant simpler proof.