  The theory of quantum information provides a common language which links
disciplines ranging from cosmology to condensed-matter physics. For example,
the delocalization of quantum information in strongly-interacting many-body
systems, known as quantum information scrambling, has recently begun to unite
our understanding of black hole dynamics, transport in exotic non-Fermi
liquids, and many-body analogs of quantum chaos. To date, verified experimental
implementations of scrambling have dealt only with systems comprised of
two-level qubits. Higher-dimensional quantum systems, however, may exhibit
different scrambling modalities and are predicted to saturate conjectured speed
limits on the rate of quantum information scrambling. We take the first steps
toward accessing such phenomena, by realizing a quantum processor based on
superconducting qutrits (three-level quantum systems). We implement two-qutrit
scrambling operations and embed them in a five-qutrit teleportation algorithm
to directly measure the associated out of-time-ordered correlation functions.
Measured teleportation fidelities, Favg = 0.568 +- 0001, confirm the occurrence
of scrambling even in the presence of experimental imperfections. Our
teleportation algorithm, which connects to recent proposals for studying
traversable wormholes in the laboratory, demonstrates how quantum information
processing technology based on higher dimensional systems can exploit a larger
and more connected state space to achieve the resource efficient encoding of
complex quantum circuits.
