Eyuri Wakakuwa

Quantum catalysis enables transformations of quantum states that are otherwise impossible. However, catalyzing transformations of quantum dynamics has remained largely unexplored. In this work, we initiate the study of correlated catalysis in dynamical resource theories and investigate whether resourceful quantum channel can be broadcast to another system. Specifically, we propose two frameworks for broadcasting dynamical resources: output broadcasting and input-output broadcasting. We establish no-go theorems that rule out output broadcasting of non-Gibbs-preserving channels. We also rule out input-output broadcasting of a variety of dynamical resources, including entanglement and coherence. Conversely, we construct general methods for output broadcasting applicable to a wide range of dynamical resource theories, including but not limited to entanglement, coherence, and non-stabilizerness.