论文标题

误差量的误差界限在大图量子系统中受到约束的动态:严格的结果和概括

Error bounds for constrained dynamics in gapped quantum systems: Rigorous results and generalizations

论文作者

Gong, Zongping, Yoshioka, Nobuyuki, Shibata, Naoyuki, Hamazaki, Ryusuke

论文摘要

在ARXIV:2001.03419中,我们引入了一个通用误差,该误差限制在隔离量子系统的良好环境能带中。在这里,我们提供有关界限推导的完整详细信息。此外,我们通过采用局部Schrieffer-Wolff转换来将结果推广到孤立的量子多体系统,从而获得误差限制,该误差限制在及时地生长。我们还将结果推广到马尔可夫开放量子系统,并定量解释量子zeno效应。

In arXiv:2001.03419 we introduce a universal error bound for constrained unitary dynamics within a well-gapped energy band of an isolated quantum system. Here, we provide the full details on the derivation of the bound. In addition, we generalize the result to isolated quantum many-body systems by employing the local Schrieffer-Wolff transformation, obtaining an error bound that grows polynomially in time. We also generalize the result to Markovian open quantum systems and quantitatively explain the quantum Zeno effect.

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