  Quantum scrambling refers to the spread of local quantum information into the
many degrees of freedom of a quantum system. In this work, we introduce a
resource theory of scrambling which incorporates two mechanisms, "entanglement
scrambling" and "magic scrambling". We introduce two resource monotones called
the Pauli growth and the OTOC (out-of-time-ordered correlator) magic for these
two mechanisms, respectively. We use our resource theory to explain recent
experimental observations of magic. We also show that both resource monotones
can be used to bound the decoding fidelity in Yoshida's black hole decoding
protocol. These applications provide an operational interpretation of the
resource monotones defined in this work.
