  The even-denominator states have attracted considerable attention owing to
their possible applications in future quantum technologies. In this letter, we
first report a 3/2 diagonal resistance, indicating the existence of a 3/2 state
in a nanometer-sized triple-gated quantum point contact (QPC) fabricated on a
high-mobility (not ultra-high-mobility) single-layer two-dimensional (2D) GaAs
wafer. The center gate plays a crucial role in realizing the QPC's 3/2 state.
Our observation of the 3/2 state using a conventional QPC device, which is a
suitable building block for semiconductor quantum devices, paves a new path for
the development of semiconductor-based quantum technologies.
