  Dietrich Braess while working on traffic modelling, noticed that traffic flow
in a network can be worsened by adding extra edges to an existing network. This
seemingly counterintuitive phenomenon is known as the Braess paradox.
  We consider a quantum network, where edges represent shared entangled states
between spatially separated parties(nodes). The goal is to entangle two
previously uncorrelated nodes using entanglement swappings. The amount of
entanglement between the distant nodes is quantified by the average concurrence
of the states established, as a result of the entanglement swappings. We then
introduce an additional edge of maximally entangled Bell states in the network.
We show that the introduction of the additional maximally entangled states to
this network leads to lower concurrence between the two previously
un-correlated nodes. Thus we demonstrate the occurrence of a phenomenon in a
quantum network that is analogous to the Braess' paradox in traffic networks.
