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arXiv · 2609.13600

Braid map definition of SLH-networks and the series product

Luc Bouten
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Abstract

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 retrieved in the instantaneous feed-forward limit as a theorem that no-longer depends on the conjecture.

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Luc Bouten. 2026-09-19. Braid map definition of SLH-networks and the series product. https://arxiv.org/abs/2609.13600

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