Editing Routing Entanglement in the Quantum Internet (section)

==Outline==
<!-- A non-mathematical detailed outline which provides a rough idea of the concerned protocol -->
In [https://www.nature.com/articles/s41534-019-0139-x.pdf (1)] they develop and analyze routing protocols for generating maximally entangled qubits (ebits) simultaneously between single or multiple pairs of senders and receivers in a quantum network by exploiting multiple paths in the network. They introduce protocols for quantum repeater nodes in the following scenarios: 
* Multipath routing of a '''single''' entanglement ﬂow:
** Considering nodes with global link-state information (the state of every link is known to every repeater in the network and can be used).
** Considering nodes with local link-state information (a link knows the states of it neighbors).
* Multipath routing of '''simultaneous''' entanglement ﬂows:
** Considering nodes with local link-state information.
All of the protocols above considering their characteristics are divided in two phases with the objective of creating an unbroken end-to-end connection between the source and destination nodes. The external and the internal phase which occur in this order.
*External phase: each pair of memories (neighboring repeaters) across an edge attempts to establish a shared entangled (EPR) pair.
*Internal phase: BSMs are attempted within each memory (repeater node) based on the successes and failures of the neighboring links in the external phase.

The high-level objective is: Considering the assumptions of quantum and classical operations at each of the repeater nodes of the underlying network, what operations should be performed at the repeater to achieve maximum entanglement-generation rate for one sender and receiver or achieve maximum rate region for multiple ﬂows of entanglement.