  We present a method for quantum entanglement distribution over a so-called
code-division-multiple-access network, in which two pairs of users share the
same quantum channel to transmit information. The main idea of this method is
to use different broad-band chaotic phase shifts, generated by electro-optic
modulators (EOMs) and chaotic Colpitts circuits, to encode the
information-bearing quantum signals coming from different users, and then
recover the masked quantum signals at the receiver side by imposing opposite
chaotic phase shifts. The chaotic phase shifts given to different pairs of
users are almost uncorrelated due to the randomness of chaos and thus the
quantum signals from different pair of users can be distinguished even when
they are sent via the same quantum channel. It is shown that two
maximally-entangled states can be generated between two pairs of users by our
method mediated by bright coherent lights, which can be more easily implemented
in experiments compared with single-photon lights. Our method is robust under
the channel noises if only the decay rates of the information-bearing fields
induced by the channel noises are not quite high. Our study opens up new
perspectives for addressing and transmitting quantum information in future
quantum networks.
