Improved Quantum Query Upper Bounds Based on Classical Decision Trees

Given a classical query algorithm as a decision tree, when does there exist a quantum query algorithm with a speed-up over the classical one? We provide a general construction based on the structure of the underlying decision tree, and prove that this can give us an up-to-quadratic quantum speed-up....

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Bibliographic Details
Main Authors: Arjan Cornelissen, Nikhil S. Mande, Subhasree Patro
Format: Article
Language:English
Published: Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften 2025-06-01
Series:Quantum
Online Access:https://quantum-journal.org/papers/q-2025-06-23-1777/pdf/
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