Document Type
Article
Publication Date
8-17-2014
Publication Title
Physical Review Letters
Department
Department of Physics and Astronomy
Abstract
We present a general transfer-function approach to noise filtering in open-loop Hamiltonian engineering protocols for open quantum systems. We show how to identify a computationally tractable set of fundamental filter functions, out of which arbitrary transfer filter functions may be assembled up to arbitrary high order in principle. Besides avoiding the infinite recursive hierarchy of filter functions that arises in general control scenarios, this fundamental filter-functions set suffices to characterize the error suppression capabilities of the control protocol in both the time and frequency domain. We prove that the resulting notion of filtering order reveals conceptually distinct, albeit complementary, features of the controlled dynamics as compared to the order of error cancellation, traditionally defined in the Magnus sense. Examples and implications are discussed.
DOI
10.1103/PhysRevLett.113.250501
Dartmouth Digital Commons Citation
Paz-Silva, Gerardo A. and Viola, Lorenza, "General Transfer-Function Approach to Noise Filtering in Open-Loop Quantum Control" (2014). Dartmouth Scholarship. 2726.
https://digitalcommons.dartmouth.edu/facoa/2726
