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arXiv · 2311.07856

Degenerate perturbation theory to quantum search

Dezheng Zhang·Xuanmin Zhu·Yuanchun Deng·Runping Gao·Qun Wei·Zijiang Luo
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Abstract

We utilize degenerate perturbation theory to investigate continuous-time quantum search on second-order truncated simplex lattices. In this work, we show that the construction of the Hamiltonian must consider the structure of the lattice. This idea enables effective application of degenerate perturbation theory to third- and higher-order lattices. We identify two constraints on the reduction of the dimension of the Hamiltonian. In addition, we elucidate the influence of the distinct configurations of marked vertices on the quantum search.

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Dezheng Zhang, Xuanmin Zhu, Yuanchun Deng, Runping Gao, Qun Wei, Zijiang Luo. 2023-11-14. Degenerate perturbation theory to quantum search. https://arxiv.org/abs/2311.07856

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