Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Convex decomposition of dimension-altering quantum channels   Quantum channels, which are completely positive and trace preserving
mappings, can alter the dimension of a system; e.g., a quantum channel from a
qubit to a qutrit. We study the convex set properties of dimension-altering
quantum channels, and particularly the channel decomposition problem in terms
of convex sum of extreme channels. We provide various quantum circuit
representations of extreme and generalized extreme channels, which can be
employed in an optimization to approximately decompose an arbitrary channel.
Numerical simulations of low-dimensional channels are performed to demonstrate
our channel decomposition scheme.

30
The categories of this paper are: q-alg
8
The categories of this paper are: hep-ex
0
The categories of this paper are: hep-ph
34
The categories of this paper are: chem-ph
1
The categories of this paper are: cs
18
The categories of this paper are: econ
17
The categories of this paper are: q-fin
26
The categories of this paper are: bayes-an
12
The categories of this paper are: nucl-th
22
The categories of this paper are: chao-dyn
36
The categories of this paper are: cmp-lg
21
The categories of this paper are: adap-org
32
The categories of this paper are: atom-ph
15
The categories of this paper are: nucl-ex
10
The categories of this paper are: q-bio
19
The categories of this paper are: eess