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This research presents a rigorous mathematical framework for converting continuous quantum feedback networks into discrete forms executable on digital quantum computers, bridging the gap between theoretical quantum optics and practical hardware implementation. By proving strong convergence as the discretization mesh approaches zero, the work establishes a reliable pathway to simulate complex SLH-networks without losing fidelity to their original stochastic differential equations.
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Discretisation of quantum feedback networks for implementation on a quantum computer

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arXiv:2608.16608v1 Announce Type: new Abstract: Quantum Feedback Network Theory (also known colloquially as the SLH-framework) is a powerful tool for modeling systems in quantum optics. This paper describes a method for discretising SLH-networks such that they can be implemented on a quantum computer. Building on a discretisation theorem for quantum stochastic differential equations, we establish strong convergence, uniformly on compact time intervals, of the discretised system to the continuous SLH-network as the discretisation mesh goes to zero.

Abstract:Quantum Feedback Network Theory (also known colloquially as the SLH-framework) is a powerful tool for modeling systems in quantum optics. This paper describes a method for discretising SLH-networks such that they can be implemented on a quantum computer. Building on a discretisation theorem for quantum stochastic differential equations, we establish strong convergence, uniformly on compact time intervals, of the discretised system to the continuous SLH-network as the discretisation mesh goes to zero.

arXiv:2608.16608 [quant-ph]

(or arXiv:2608.16608v1 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2608.16608 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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