Diagnosis of information scrambling from Hamiltonian evolution under decoherence

Understand

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.