  Quantum entanglement assisted with measurements provides various pathways to
communicate information to parties within a network. In this work, we
generalize a previous broadcasting protocol and present schemes to broadcast
product and multi-partite entangled quantum states, where in the latter case
the sender can remotely add phase gates or abort distributing the states. We
first focus on the broadcasting of product quantum states in a network, and
generalize the basic protocol to include an arbitrary basis rotation and allow
for multiple receivers and senders. We show how to add and delete senders from
the network. The generalization also includes the case where a phase to be
applied to the broadcast states is not known in advance but is provided to a
sender encoded in another quantum state. Applications of broadcasting product
states include authentication and three-state quantum cryptography. In the
second part, we study the distribution of a single multi-qubit state shared
among several receivers entangled with multi-qubit phase gates, which includes
the graph states as an example. We show that by coordinating with the sender,
the receivers can assist in performing remote, distributed measurement-based
quantum computation with the Pauli X basis measurement alone. As another
application of this, we discuss the distribution of the multi-qubit
Greenberger-Horne-Zeilinger state.
