Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Transformations in quantum networks via local operations assisted by
  finitely many rounds of classical communication   Recent advances have lead towards first prototypes of a quantum internet in
which entanglement is distributed by sources producing bipartite entangled
states with high fidelities. This raises the question which states can be
generated in quantum networks based on bipartite sources using local operations
and classical communication. In this work we study state transformations under
finite rounds of local operations and classical communication in networks based
on maximally entangled two-qubit states. We first derive the symmetries for
arbitrary network structures as these determine which transformations are
possible. Then we show that contrary to tree graphs for which it has already
been shown that any state within the same entanglement class can be reached
there exist states which can be reached probabilistically but not
deterministically if the network contains a cycle. Furthermore, we provide a
systematic way to determine states which are not reachable in networks
consisting of a cycle. Moreover, we provide a complete characterization of the
states which can be reached in a cycle network with a protocol where each party
measures only once and each step of the protocol results in a deterministic
transformation. Finally, we present an example which cannot be reached with
such a simple protocol.

21
The categories of this paper are: adap-org
17
The categories of this paper are: q-fin
32
The categories of this paper are: atom-ph
3
The categories of this paper are: physics
2
The categories of this paper are: math
24
The categories of this paper are: dg-ga
15
The categories of this paper are: nucl-ex
23
The categories of this paper are: solv-int
34
The categories of this paper are: chem-ph
36
The categories of this paper are: cmp-lg
1
The categories of this paper are: cs
4
The categories of this paper are: cond-mat
6
The categories of this paper are: astro-ph
12
The categories of this paper are: nucl-th
16
The categories of this paper are: stat
20
The categories of this paper are: acc-phys