Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Implementing positive-operator-valued-measurement elements in photonic
  circuits for performing minimum quantum state tomography of path qudits   Manipulation of qudits in optical tables is a difficult and nonscalable task.
The use of integrated optical circuits opens new possibilities for the
generation, manipulation, and characterization of high dimensional states
besides the ease of transmission of these states through an optical fiber. In
this work we propose photonic circuits to perform minimum quantum state
tomography of path qudits and show how to determine all the constituents
parameters of these circuits (beam splitters and phase shifters). Our
strategies were based on the symmetries of the involved POVMs (positive
operator-valued measures) suggested for minimum tomography and allowed us to
obtain interferometers smaller than those obtained by other already known
methods. The calculations of the transmittances and reflectivities of the beam
splitters were made using the definition of probability operators in extended
Hilbert spaces and the application of Naimark's theorem. The employment of
equidistant states for the definition of the POVM elements allowed us to
develop a recipe applicable to the tomography of qudits of any dimension,
generalizing our scheme.

17
The categories of this paper are: q-fin
14
The categories of this paper are: math-ph
22
The categories of this paper are: chao-dyn
11
The categories of this paper are: hep-lat
18
The categories of this paper are: econ
4
The categories of this paper are: cond-mat
15
The categories of this paper are: nucl-ex
21
The categories of this paper are: adap-org
37
The categories of this paper are: supr-con
30
The categories of this paper are: q-alg
29
The categories of this paper are: funct-an
25
The categories of this paper are: patt-sol
34
The categories of this paper are: chem-ph
16
The categories of this paper are: stat
35
The categories of this paper are: mtrl-th
8
The categories of this paper are: hep-ex