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arXiv · 2509.07041

Nested Grover's Algorithm for Tree Search

Andreas Wichert
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Abstract

We investigate optimizing quantum tree search algorithms by employing a nested Grover Algorithm. This approach seeks to enhance results compared to previous Grover-based methods by expanding the tree of partial assignments to a specific depth and conducting a quantum search within the subset of remaining assignments. The study explores the implications and constraints of this approach, providing a foundation for quantum artificial intelligence applications. Instead of utilizing conventional heuristic functions that are incompatible with quantum tree search, we introduce the partial candidate solution, which indicates a node at a specific depth of the tree. By employing such a function, we define the concatenated oracle, which enables us to decompose the quantum tree search using Grover algorithm.

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Andreas Wichert. 2025-09-08. Nested Grover's Algorithm for Tree Search. https://arxiv.org/abs/2509.07041

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