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This paper provides a rigorous mathematical definition of SLH-networks using the braid-map formalism to model cascades of quantum systems with finite delays. By deriving expressions for time-evolution and retrieving the series product in the instantaneous feed-forward limit, it advances the theoretical framework necessary for analyzing complex quantum architectures.
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Braid map definition of SLH-networks and the series product

arXiv1 min read

arXiv:2609.13600v1 Announce Type: new Abstract: This article investigates a cascade of quantum systems within an SLH-network. The SLH-network is defined rigorously by using the so-called braid-map. 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.

Abstract:This article investigates a cascade of quantum systems within an SLH-network. The SLH-network is defined rigorously by using the so-called braid-map. 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.

arXiv:2609.13600 [quant-ph]

(or arXiv:2609.13600v1 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2609.13600 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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Full text under the publisher's open licence · 135 words

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