Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spin-orbit implementation of Solovay-Kitaev decomposition of
  single-qubit channels   The Solovay-Kitaev theorem allows us to approximate any single-qubit gate to
arbitrary accuracy with a finite sequence of fundamental operations from a
universal set of gates. Inspired by this decomposition, we present a quantum
channel simulator capable of implementing any completely positive
trace-preserving map. Our realization consists of one ancillary qubit, encoded
in the transverse mode of a laser beam (orbital degree of freedom), one qubit
system, encoded in its polarization (spin), one spin-orbit CNOT gate and four
single-qubit operations performed with prisms and polarization components. Our
results describe the implementation of arbitrary single-qubit channels on the
photon polarization using the transverse mode as the ancillary qubit.

20
The categories of this paper are: acc-phys
1
The categories of this paper are: cs
16
The categories of this paper are: stat
6
The categories of this paper are: astro-ph
22
The categories of this paper are: chao-dyn
36
The categories of this paper are: cmp-lg
28
The categories of this paper are: alg-geom
32
The categories of this paper are: atom-ph
26
The categories of this paper are: bayes-an
25
The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph
19
The categories of this paper are: eess
9
The categories of this paper are: nlin
31
The categories of this paper are: ao-sci
37
The categories of this paper are: supr-con
10
The categories of this paper are: q-bio