The Stratonovich Formulation of Quantum Feedback Network Rules
J.E. Gough
TL;DR
This paper reformulates quantum feedback network rules using the Stratonovich calculus, revealing that feedback reduction corresponds to taking the Schur complement of the coupling matrix, simplifying analysis.
Contribution
It introduces a novel Stratonovich-based formulation for quantum feedback networks, providing a new mathematical perspective and simplifying the feedback reduction process.
Findings
Feedback reduction corresponds to the Schur complement of the coupling matrix.
Stratonovich formulation offers a different approach from the traditional Ito or SLH forms.
The new formulation simplifies the analysis of quantum feedback networks.
Abstract
We express the rules for forming quantum feedback networks using the Stratonovich form of quantum stochastic calculus rather than the Ito, or SLH form. Remarkably the feedback reduction rule implies that we obtain the Schur complement of the matrix of Stratonovich coupling operators where we short out the internal input/output coefficients.
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