Frame-Based Filter-Function Formalism for Quantum Characterization and Control
Teerawat Chalermpusitarak, Behnam Tonekaboni, Yuanlong Wang, Leigh M. Norris, Lorenza Viola, Gerardo A. Paz-Silva · PRX Quantum · 2021
We introduce a theoretical framework for resource-efficient characterization and control of non-Markovian open quantum systems, which naturally allows for the integration of given, experimentally motivated, control capabilities and constraints.This is achieved by developing a transfer filter-function formalism based on the general notion of a frame and by appropriately tying the choice of frame to the available control.While recovering the standard frequency-based filter-function formalism as a special instance, this control-adapted generalization affords intrinsic flexibility and, crucially, it permits an efficient representation of the relevant control matrix elements and dynamical integrals if an appropriate finite-size frame condition is obeyed.Our frame-based formulation overcomes important limitations of existing approaches.In particular, we show how to implement quantum noise spectroscopy in the presence of nonstationary noise sources, and how to effectively achieve control-driven model reduction for noise-optimized prediction and quantum gate design.