  A promising scheme for building scalable quantum simulators and computers is
the synthesis of a scalable system using interconnected subsystems. A
prerequisite for this approach is the ability to faithfully transfer quantum
information between subsystems. With trapped atomic ions, this can be realized
by transporting ions with quantum information encoded into their internal
states. Here, we measure with high precision the fidelity of quantum
information encoded into hyperfine states of a 171Yb+ ion during ion transport
in a microstructured Paul trap. Ramsey spectroscopy of the ion's internal state
is interleaved with up to 4000 transport operations over a distance of 280
{\mu}m each taking 12.8 {\mu}s. We obtain a state fidelity of 99.9994(+6/-7)per
ion transport.
