Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Controlled generation of mixed spatial qudits with arbitrary degree of
  purity   We propose a method for preparing mixed quantum states of arbitrary dimension
$D$ ($D\geq2$) which are codified in the discretized transverse momentum and
position of single photons, once they are sent through an aperture with $D$
slits. Following our previous technique we use a programmable single phase-only
spatial light modulator (SLM) to define the aperture and set the complex
transmission amplitude of each slit, allowing the independent control of the
complex coefficients that define the quantum state. Since these SLMs give us
the possibility to dynamically varying the complex coefficients of the state
during the measurement time, we can generate not only pure states but also
quantum states compatible with a mixture of pure quantum states. Therefore, by
using these apertures varying on time according to a probability distribution,
we have experimentally obtained $D$-dimensional quantum states with purities
that depend on the parameters of the distribution through a clear analytical
expression. This fact allows us to easily customize the states to be generated.
Moreover, the method offer the possibility of working without changing the
optical setup between pure and mixed states, or when the dimensionality of the
states is increased. The obtained results show a quite good performance of our
method at least up to dimension $D=11$, being the fidelity of the prepared
states $F > 0.98$ in every case.

7
The categories of this paper are: hep-th
6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an
2
The categories of this paper are: math
17
The categories of this paper are: q-fin
28
The categories of this paper are: alg-geom
27
The categories of this paper are: comp-gas
1
The categories of this paper are: cs
10
The categories of this paper are: q-bio
37
The categories of this paper are: supr-con
31
The categories of this paper are: ao-sci
25
The categories of this paper are: patt-sol
8
The categories of this paper are: hep-ex
16
The categories of this paper are: stat
30
The categories of this paper are: q-alg
21
The categories of this paper are: adap-org