Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Implementation of quantum operations on single photon qudits   We show that a general linear transformation from one single photon qudit to
another, the dimension of which can be either equal or unequal to that of the
first one, can be implemented by linear optics. As an application of the scheme
we elaborate a method to deterministically realize any finite-element Positive
Operator Value Measure (POVM) on single photon signals, which is also
generalizable to any quantum system in principle.

25
The categories of this paper are: patt-sol
1
The categories of this paper are: cs
31
The categories of this paper are: ao-sci
23
The categories of this paper are: solv-int
8
The categories of this paper are: hep-ex
30
The categories of this paper are: q-alg
28
The categories of this paper are: alg-geom
37
The categories of this paper are: supr-con
10
The categories of this paper are: q-bio
15
The categories of this paper are: nucl-ex
5
The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
3
The categories of this paper are: physics
32
The categories of this paper are: atom-ph
9
The categories of this paper are: nlin
12
The categories of this paper are: nucl-th