  Out-of-time-ordered correlators (OTOCs) are a key observable in a wide range
of interconnected fields including many-body physics, quantum information
science, and quantum gravity. Measuring OTOCs using near-term quantum
simulators will extend our ability to explore fundamental aspects of these
fields and the subtle connections between them. Here, we demonstrate an
experimental method to measure OTOCs at finite temperatures and use the method
to study their temperature dependence. These measurements are performed on a
digital quantum computer running a simulation of the transverse field Ising
model. Our flexible method, based on the creation of a thermofield double
state, can be extended to other models and enables us to probe the OTOC's
temperature-dependent decay rate. Measuring this decay rate opens up the
possibility of testing the fundamental temperature-dependent bounds on quantum
information scrambling.
