Numerical study of computational cost of maintaining adiabaticity for long paths

Autor:	Cohen, Thomas D., Oh, Hyunwoo, Wang, Veronica
Rok vydání:	2024
Předmět:	Quantum Physics High Energy Physics - Lattice Nuclear Theory
Druh dokumentu:	Working Paper
Popis:	Recent work argued that the scaling of a dimensionless quantity $Q_D$ with path length is a better proxy for quantifying the scaling of the computational cost of maintaining adiabaticity than the timescale. It also conjectured that generically the scaling will be faster than linear (although special cases exist in which it is linear). The quantity $Q_D$ depends only on the properties of ground states along the Hamiltonian path and the rate at which the path is followed. In this paper, we demonstrate that this conjecture holds for simple Hamiltonian systems that can be studied numerically. In particular, the systems studied exhibit the behavior that $Q_D$ grows approximately as $L \log L$ where $L$ is the path length when the threshold error is fixed. Comment: 8 pages, 3 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2412.08626 Zobrazit plný text záznamu View this record from Arxiv