Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Google In A Photonic Lattice   The quantum version of Google PageRank has recently been investigated by
various groups and shown to be quadratically faster in time than the classical
PageRank algorithm. In this paper we propose the implementation of Quantum
PageRank by a stochastic quantum walk of correlated photons in a photonic
waveguide lattice, where we allow the density matrix to evolve according to the
Lindblad-Kossakowski master equation. This yields a stationary state, the
diagonal of whose density matrix gives the page ranking.

25
The categories of this paper are: patt-sol
34
The categories of this paper are: chem-ph
37
The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
17
The categories of this paper are: q-fin
1
The categories of this paper are: cs
29
The categories of this paper are: funct-an
33
The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio
22
The categories of this paper are: chao-dyn
30
The categories of this paper are: q-alg
20
The categories of this paper are: acc-phys
9
The categories of this paper are: nlin
5
The categories of this paper are: gr-qc
2
The categories of this paper are: math