  We apply a quantum teleportation protocol based on the Hayden-Preskill
thought experiment to quantify how scrambling a given quantum evolution is. It
has an advantage over the direct measurement of out-of-time ordered correlators
when used to diagnose the information scrambling in the presence of decoherence
effects stemming from a noisy quantum device. We demonstrate the protocol by
applying it to two physical systems: Ising spin chain and SU(2) lattice
Yang-Mills theory. To this end, we numerically simulate the time evolution of
the two theories in the Hamiltonian formalism. The lattice Yang-Mills theory is
implemented with a suitable truncation of Hilbert space on the basis of the
Kogut-Susskind formalism. On a two-leg ladder geometry and with the lowest
nontrivial spin representations, it can be mapped to a spin chain, which we
call it Yang-Mills-Ising model and is also directly applicable to future
digital quantum simulations. We find that the Yang-Mills-Ising model shows the
signal of information scrambling at late times.
