arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~
arXiv 2211.02490quant-phcond-mat.mes-hall
收藏

自旋-玻色子模型推导相互作用双量子比特动力学

Derivation of Interacting Two-Qubit Dynamics from Spin-Boson Model

Hiroaki Matsueda, Yukiya Ide, Sadamichi Maekawa

AI总结:

该研究从自旋-玻色子模型推导出相互作用双量子比特的阻尼运动方程,发现总自旋弛豫遵循量子Landau-Lifshitz-Gilbert方程,且双自旋复合模式在弛豫后仍振荡,表明其关联对耗散稳定。

摘要:

我们从自旋-玻色子模型出发,推导了相互作用双自旋态的阻尼运动方程,以研究量子计算机中的量子比特动力学。基于复合算子方法,我们发展了适用于开放量子系统的Caldeira-Leggett方法,使得源于双自旋关联的纠缠动力学得以被考虑。我们展示了双自旋动力学时间依赖性的数值结果。我们发现,总自旋的弛豫由磁性材料中Landau-Lifshitz-Gilbert方程的量子版本描述。我们还发现,即使在总自旋完全弛豫之后,双自旋复合模式仍保持振荡。因此,我们得出结论,由于复合模式的存在,双自旋关联对耗散是稳定的。我们探讨了该关联得以维持的机制。

英文摘要:

We derive damping equations of motion for interacting two-spin states from a spin-boson model in order to examine qubit dynamics in quantum computers. On the basis of the composite operator method, we develop the Caldeira-Leggett approach for open quantum systems so that the entanglement dynamics originated from the two-spin correlation can be taken. We demonstrate numerical results for time dependence on the two-spin dynamics. We find that the relaxation of the total spin is described by a quantum version of the Landau-Lifshitz-Gilbert equation for magnetic materials. We also find that a two-spin composite mode keeps oscillation even after the total spin has been fully relaxed. We thus conclude that the two-spin correlation due to the presence of the composite mode is stable against dissipation. We consider the mechanism of why the correlation is maintained.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑