Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Proposal for a new scheme for producing a two-photon, high dimensional
  hyperentangled state   We propose an experimentally feasible scheme for generating a two
$2\times4\times4$ dimensional photons hyperentangled state, entangled in
polarization, frequency and spatial mode. This scheme is mainly based on a
parametric down-conversion source and cross-Kerr nonlinearities, which avoids
the complicated uncertain post-selection. Our method can be easily expanded to
the production of hyperentangled states with more photons in multidimensions.
Hence the expectation for vast quantities of information in quantum information
processing will possibly come true. Finally, we put forward a realizable
quantum key distribution (QKD) protocol based on the high dimensional
hyperentangled state.

32
The categories of this paper are: atom-ph
23
The categories of this paper are: solv-int
7
The categories of this paper are: hep-th
12
The categories of this paper are: nucl-th
36
The categories of this paper are: cmp-lg
2
The categories of this paper are: math
30
The categories of this paper are: q-alg
18
The categories of this paper are: econ
5
The categories of this paper are: gr-qc
6
The categories of this paper are: astro-ph
19
The categories of this paper are: eess
29
The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat
9
The categories of this paper are: nlin
1
The categories of this paper are: cs
10
The categories of this paper are: q-bio