Modeling and Resource Optimization for Quantum Oracles
Abstract
Quantum computing has demonstrated its significant advantage over supercomputing for specific applications and shown promising prospect, such as machine learning, cryptography, finance, etc.. Quantum oracles are very common in many quantum algorithms and oracle resource consumption directly affects algorithm performance. However, existing oracle designs often exhibit high resource overhead and limited compatibility. Moreover, structured description tools and complexity analysis methods are lacked. In this work, we introduces a Hierarchical Recursive Synthesis-Evaluation (HRSE) model, enabling formal description and precise quantum gate complexity analysis of oracles. Based on this model, we propose an Adaptive Space-depth Trade-off (ASDT) algorithm for generating oracle structures under a fixed qubit constraint. We provide a theoretical proof showing that the ASDT algorithm achieves the optimal gate count for a given number of qubits. Experimental results show that the ASDT algorithm reduces the average quantum circuit depth by 53.99% compared with the W-cycle approach, with the number of variables being 10, 15, and 20, respectively.
Cite
@article{arxiv.2605.21380,
title = {Modeling and Resource Optimization for Quantum Oracles},
author = {Zhihang Li and Bo Zhao and Chuanbing Han and Jie Zhao and Jinchen Xu and Guoqiang Shu and Yimin Gao and Woji He and Zheng Shan},
journal= {arXiv preprint arXiv:2605.21380},
year = {2026}
}