Bulletin of the American Physical Society
APS March Meeting 2018
Monday–Friday, March 5–9, 2018; Los Angeles, California
Session G60: Poster Session I
Tuesday, March 6, 2018
LACC Room: West Hall A
Abstract: G60.00287 : Factorization of Linear Quantum Systems with Delayed Feedback*
We consider the transfer functions describing the input-output relation for a class of linear open quantum systems involving feedback with nonzero time delays. We show how such transfer functions can be factorized into a product of terms which are transfer functions of canonical physically realizable components. We prove under certain conditions that this product converges, and can be approximated on compact sets. Thus our factorization can be interpreted as a (possibly infinite) cascade. Our result extends past work where linear open quantum systems with a state-space realization have been shown to have a pure cascade realization [Nurdin, H. I., Grivopoulos, S., & Petersen, I. R. (2016). The transfer function of generic linear quantum stochastic systems has a pure cascade realization. Automatica, 69, 324-333.]. The functions we consider are inherently non-Markovian, which is why in our case the resulting product may have infinitely many terms.
*GT is supported by an NDSEG fellowship awarded by the DoD and a Stanford University Graduate Fellowship. RH is supported by an appointment to the IC Postdoctoral Research Fellowship Program at MIT, administered by ORISE through U.S. DOE / ODNI.
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