  We demonstrate that a holographic model of the Einstein-Podolsky-Rosen pair
exhibits fast scrambling. Strongly entangled quark and antiquark in
$\mathcal{N}=4$ super Yang-Mills theory are considered. Their gravity dual is a
fundamental string whose endpoints are uniformly accelerated in opposite
direction. We slightly increase the acceleration of the endpoint and show that
it quickly destroys the correlation between the quark and antiquark. The proper
time scale of the destruction is $\tau_\ast\sim \beta \ln S$ where $\beta$ is
the inverse Unruh temperature and $S$ is the entropy of the accelerating quark.
We also evaluate the Lyapunov exponent from correlation function as
$\lambda_L=2\pi/\beta$, which saturates the Lyapunov bound. Our results suggest
that the fast scrambling or saturation of the Lyapunov bound do not directly
imply the existence of an Einstein dual. When we slightly decrease the
acceleration, the quark and antiquark are causally connected and an "one-way
traversable wormhole" is created on the worldsheet. It causes the divergence of
the correlation function between the quark and antiquark.
