Optimal control of non-Markovian dynamics in a single-mode cavity strongly coupled to an inhomogeneously broadened spin ensemble

Ensembles of quantum mechanical spins offer a promising platform for quantum memories, but proper functionality requires accurate control of unavoidable system imperfections. We present an efficient control scheme based on a Volterra equation, which relies solely on very weak control pulses and allows us to overcome the challenge posed by macroscopically large Hilbert spaces. The viability of our approach is demonstrated in terms of explicit storage and readout sequences for a spin ensemble strongly coupled to a single-mode cavity.