单位群上非阿贝尔量子同步模型的新兴行为

IF 4.6 Q2 MATERIALS SCIENCE, BIOMATERIALS
Dohyun Kim, Jeongho Kim
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引用次数: 0

摘要

我们在单元群上引入了一个新的非阿贝尔量子同步模型,它以梯度流的形式表示,其中的状态矩阵在相位平移之前会渐近收敛到一个共同的状态矩阵。我们提供了一个基于里卡蒂式微分不等式的量子同步充分框架。此外,我们还考虑了统一的时间延迟相互作用,以模拟现实通信,并证明了在允许较小时间延迟的情况下,量子同步是持久的。最后,我们进行了数值模拟,以直观显示定性行为并支持理论结果。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Emergent behaviours of a non-abelian quantum synchronisation model over the unitary group
We introduce a new non-abelian quantum synchronisation model over the unitary group, represented as a gradient flow, where state matrices asymptotically converge to a common one up to phase translation. We provide a sufficient framework leading to quantum synchronisation based on Riccati-type differential inequalities. In addition, uniform time-delayed interaction is considered for modelling realistic communication, and we demonstrate that quantum synchronisation is persistent when a small time delay is allowed. Finally, numerical simulation is performed to visualise qualitative behaviours and support theoretical results.
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来源期刊
ACS Applied Bio Materials
ACS Applied Bio Materials Chemistry-Chemistry (all)
CiteScore
9.40
自引率
2.10%
发文量
464
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