Time-resolved shadow tomography of open quantum systems

Shadow tomography is a powerful and resource-frugal characterization technique which permits the estimation of a set of expectation values of an arbitrary quantum state using a number of measurements that scales only logarithmically in the size of the observable set. Allowing the state in question to undergo general non-unitary evolution, we leverage shadow tomography to resolve the time-dependence of this observable set and thereby efficiently estimate parameters of the open system dynamics via compressed sensing.