  Table-top tests of quantum gravity (QG) have long been thought to be
practically impossible. However, remarkably, due to rapid progress in quantum
information science (QIS), such tests may soon be achievable. Here, we uncover
an exciting new theoretical link between QG and QIS that also leads to a
radical new way of testing QG with QIS experiments. Specifically, we find that
only a quantum, not classical, theory of gravity can create non-Gaussianity, a
QIS resource that is necessary for universal quantum computation, in the
quantum field state of matter. This allows for tests based on QIS in which
non-Gaussianity in matter is used as a signature of QG. In comparison to
previous studies of testing QG with QIS where entanglement is used to witness
QG when all other quantum interactions are excluded, our non-Gaussianity
witness cannot be created by direct classical gravity interactions,
facilitating tests that are not constrained by the existence of such processes.
Our new signature of QG also enables tests that are based on just a single
rather than multi-partite quantum system, simplifying previously considered
experimental setups. We describe a table-top test of QG that uses our
non-Gaussianity signature and which is based on just a single quantum system, a
Bose-Einstein condensate (BEC), in a single location. In contrast to proposals
based on opto-mechanical setups, BECs have already been manipulated into
massive non-classical states, aiding the prospect of testing QG in the near
future.
