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SLH网络的辫映射定义及级联积

Braid map definition of SLH-networks and the series product

Luc Bouten

arXiv 2609.13600首次发表:更新:

AI 中文总结

本文用辫映射严格定义SLH网络,推导有限延迟下的时间演化,并在瞬时前馈极限下恢复级联积。

AI 中文摘要

本文研究SLH网络中的量子系统级联。利用所谓的辫映射严格定义了SLH网络。推导了具有有限延迟的网络时间演化的表达式。在瞬时前馈极限下恢复了级联积。

英文摘要

This article investigates a cascade of quantum systems within an SLH-network. The original definition of an SLH-network depends on an open conjecture regarding the essential selfadjointness of the generator of the time evolution of the network. This problem is avoided by using the so-called braid-map, which leads to a rigorous definition of the SLH-network. An expression is derived for the time-evolution of the network with finite delay. The series product is recovered in the instantaneous feed-forward limit as a theorem that no longer depends on the conjecture.

Comments6 pages, no figures

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