Iterative Deconvolution for Calibrating Quantum Control Pulses

In experimental manipulation of quantum systems, the control precision is always hindered by pulse distortion induced by the applied electronic system, when signals are delivered to the target that is often placed in a low-temperature and vacuum chamber. To mitigate such errors, deconvolution is effective by compensating the identified linear convolution. However, there is always residual error because the linear model can never be precise and non-linear distortion is also present. In this paper, we propose an iterative deconvolution scheme that repeatedly applies the deconvolution operation using the error signal. Theoretically, such scheme can correct arbitrary residual model errors, whose performance is up to accuracy of the identified models. Simulation results show its effectiveness on correcting model errors.