  In a locally interacting many-body system, two isolated qubits, separated by
a large distance $r$, become correlated and entangled with each other at a time
$t \ge r/v$. This finite speed $v$ of quantum information scrambling limits
quantum information processing, thermalization and even equilibrium
correlations. Yet most experimental systems contain long range power law
interactions -- qubits separated by $r$ have potential energy $V(r)\propto
r^{-\alpha}$. Examples include the long range Coulomb interactions in plasma
($\alpha=1$) and dipolar interactions between spins ($\alpha=3$). In one
spatial dimension, we prove that the speed of quantum scrambling remains finite
for sufficiently large $\alpha$. This result parametrically improves previous
bounds, compares favorably with recent numerical simulations, and can be
realized in quantum simulators with dipolar interactions. Our new mathematical
methods lead to improved algorithms for classically simulating quantum systems,
and improve bounds on environmental decoherence in experimental quantum
information processors.
