论文标题

具有有限振幅控制的动态解耦的稳定性和收敛性

Stability and convergence of dynamical decoupling with finite amplitude control

论文作者

Burgarth, Daniel, Facchi, Paolo, Hillier, Robin

论文摘要

动力脱钩是减轻量子机械系统中错误的关键方法,我们在一系列论文中进行了研究,尤其是针对无界哈密顿人引起的问题。我们在这些论文中也使用的标准动力脱钩模型需要以无限幅度的脱钩操作,从物理角度来看,这严格来说是不现实的。在本文中,我们着眼于有限幅度的解耦操作,讨论在哪些假设的动态解耦下与此类有限幅度操作一起工作,并展示孟买描述是如何限制出现的,因此将其视为合理的近似值。

Dynamical decoupling is a key method to mitigate errors in a quantum mechanical system, and we studied it in a series of papers dealing in particular with the problems arising from unbounded Hamiltonians. The standard bangbang model of dynamical decoupling, which we also used in those papers, requires decoupling operations with infinite amplitude, which is strictly speaking unrealistic from a physical point of view. In this paper we look at decoupling operations of finite amplitude, discuss under what assumptions dynamical decoupling works with such finite amplitude operations, and show how the bangbang description arises as a limit, hence justifying it as a reasonable approximation.

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