On structure-preserving transformations of the Ito generator matrix for model reduction of quantum feedback networks

Abstract

Two standard operations of model reduction for quantum feedback networks, elimination of internal connections under the instantaneous feedback limit and adiabatic elimination of fast degrees of freedom, are cast as structure-preserving transformations of Itō generator matrices. It is shown that the order in which they are applied is inconsequential.

15 pages, 1 figure

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• The SLH framework for modeling quantum input-output networks
• Zeno Dynamics for Open Quantum Systems
• On The Scattering Process in Quantum Optics
• Characteristic Operator Functions for Quantum Input-Plant-Output Models & Coherent Control
• Towards generic adiabatic elimination for bipartite open quantum systems
• The Stratonovich Formulation of Quantum Feedback Network Rules