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- Title
Degenerate perturbation theory to quantum search.
- Authors
Zhang, Dezheng; Zhu, Xuanmin; Deng, Yuanchun; Gao, Runping; Wei, Qun; Luo, Zijiang
- 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.
- Subjects
DEGENERATE perturbation theory; QUANTUM perturbations; SEARCH theory; BANACH lattices; SIMPLEX algorithm
- Publication
Quantum Information Processing, 2024, Vol 23, Issue 4, p1
- ISSN
1570-0755
- Publication type
Article
- DOI
10.1007/s11128-024-04340-x