  We report on conductance fluctuation in quasi-one-dimensional wires made of
epitaxial Bi$_{2}$Se$_{3}$ thin film. We found that this type of fluctuation
decreases as the wire length becomes longer and that the amplitude of the
fluctuation is well scaled to the coherence, thermal diffusion, and wire
lengths, as predicted by conventional universal conductance fluctuation (UCF)
theory. Additionally, the amplitude of the fluctuation can be understood to be
equivalent to the UCF amplitude of a system with strong spin-orbit interaction
and no time-reversal symmetry. These results indicate that the conductance
fluctuation in Bi$_{2}$Se$_{3}$ wires is explainable through UCF theory. This
work is the first to verify the scaling relationship of UCF in a system with
strong spin-orbit interaction.
