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Degenerate perturbation theory to quantum search

Quantum Information Processing, ISSN: 1573-1332, Vol: 23, Issue: 4
2024
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Article Description

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.

Bibliographic Details

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

Springer Science and Business Media LLC

Materials Science; Physics and Astronomy; Mathematics; Computer Science; Engineering

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