  We show that nonorthogonal states achieve a higher level of entanglement when
one party undergoes uniform acceleration. We also show that in this regime
non-orthogonal states achieve a higher fidelity for teleportation. A quantum
field as observed by an observer confined to a Rindler wedge acts as an open
system. When one traces over the field modes in the causally disconnected
region of space time, one finds that, for a qubit derived from the modes of a
scalar field, the effective state space of a qubit is deformed. In order to
show this we numerically calculate the Bures angle between states as seen by an
accelerating observer. We also derive the Bures metric of an effective qubit in
the limit of low accelerations. In order to show that the deformation is not
just a coordinate transform, we calculate the scalar curvature of the effective
Bures metric. We see that the effective Bures metric loses its isotropic
nature. Despite taking the limit of low accelerations, our results are also
relevant to large gravitational fields.
