Simplified Quantum Algorithm for the Oracle Identification Problem
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Abstract (arXiv)
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 Csubseteq0,1n. 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 Oleft(√fracnlog M log(n/log M)+1right), 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.
Key facts. No citing papers in the map yet (data through 14 Oct 2026). Builds on 2 of its 11 references that are in the map. First posted on arXiv 8 Sep 2021.
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References · 2
- 2019Quantum Speedup Based on Classical Decision Treescited by 3
- 2013Easy and hard functions for the Boolean hidden shift problemcited by 1
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