Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Network coding for distributed quantum computation over cluster and
  butterfly networks   To apply network coding for quantum computation, we study the distributed
implementation of unitary operations over all separated input and output nodes
of quantum networks. We consider a setting of networks where quantum
communication between nodes is restricted to sending just a qubit, but
classical communication is unrestricted. We analyze which N-qubit unitary
operations are implementable over cluster networks by investigating
transformations of a given cluster network into quantum circuits. We show that
any two-qubit unitary operation is implementable over the butterfly network and
the grail network, which are fundamental primitive networks for classical
network coding. We also analyze probabilistic implementations of unitary
operations over cluster networks.

30
The categories of this paper are: q-alg
15
The categories of this paper are: nucl-ex
24
The categories of this paper are: dg-ga
12
The categories of this paper are: nucl-th
9
The categories of this paper are: nlin
5
The categories of this paper are: gr-qc
21
The categories of this paper are: adap-org
23
The categories of this paper are: solv-int
7
The categories of this paper are: hep-th
3
The categories of this paper are: physics
16
The categories of this paper are: stat
20
The categories of this paper are: acc-phys
2
The categories of this paper are: math
26
The categories of this paper are: bayes-an
0
The categories of this paper are: hep-ph
34
The categories of this paper are: chem-ph