  We discuss time displaced entanglement, produced by taking one member of a
Bell pair on a round trip at relativistic speeds, thus inducing a time-shift
between the pair. We show that decoherence with respect to Bell measurements on
the pair is predicted. We then study a teleportation protocol, using time
displaced entanglement as its resource, in which a time-like loop is apparently
formed. The result is non-unitary, non-linear evolution of the teleported
state.
