  We theoretically demonstrate that the transport inefficiency recently found
experimentally for branched-out mesoscopic networks can also be observed in a
quantum ring of finite width with an attached central horizontal branch. This
is done by investigating the time evolution of an electron wave packet in such
a system. Our numerical results show that the conductivity of the ring does not
necessary improves if one adds an extra channel. This ensures that there exists
a quantum analogue of the Braess Paradox, originating from quantum scattering
and interference.
