The Stratonovich formulation of quantum feedback network rules

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Abstract

We express the rules for forming quantum feedback networks using the Stratonovich form of quantum stochastic calculus rather than the Ito or SLH (J. E. Gough and M. R. James, “Quantum feedback networks: Hamiltonian formulation,” Commun. Math. Phys. 287, 1109 (2009), J. E. Gough and M. R. James, “The Series product and its application to quantum feedforward and feedback networks,” IEEE Trans. Autom. Control 54, 2530 (2009)) 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
Original languageEnglish
Article number123505
JournalJournal of Mathematical Physics
Volume57
Issue number12
DOIs
Publication statusPublished - 19 Dec 2016

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