Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Multi-walker discrete time quantum walks on arbitrary graphs, their
  properties, and their photonic implementation   Quantum walks have emerged as an interesting alternative to the usual circuit
model for quantum computing. While still universal for quantum computing, the
quantum walk model has very different physical requirements, which lends itself
more naturally to some physical implementations, such as linear optics.
Numerous authors have considered walks with one or two walkers, on one
dimensional graphs, and several experimental demonstrations have been
performed. In this paper we discuss generalizing the model of discrete time
quantum walks to the case of an arbitrary number of walkers acting on arbitrary
graph structures. We present a formalism which allows for analysis of such
situations, and several example scenarios for how our techniques can be
applied. We consider the most important features of quantum walks --
measurement, distinguishability, characterization, and the distinction between
classical and quantum interference. We also discuss the potential for physical
implementation in the context of linear optics, which is of relevance to
present day experiments.

3
The categories of this paper are: physics
5
The categories of this paper are: gr-qc
8
The categories of this paper are: hep-ex
0
The categories of this paper are: hep-ph
14
The categories of this paper are: math-ph
27
The categories of this paper are: comp-gas
25
The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph
19
The categories of this paper are: eess
20
The categories of this paper are: acc-phys
35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
10
The categories of this paper are: q-bio
34
The categories of this paper are: chem-ph
30
The categories of this paper are: q-alg
15
The categories of this paper are: nucl-ex