Implementing arbitrary coined two-dimensional quantum walks via bulk optical interferometry

Multi-dimensional quantum walks provide a powerful tool for simulating quantum phenomena. We design a feasible scheme to implement two-dimensional quantum walks in a “real” position space, demonstrating a scalable quantum walk on a non-trivial graph structure with single photons and bulk optical int...

Full description

Saved in:
Bibliographic Details
Published in:Optics communications 2018-11, Vol.426, p.558-561
Main Authors: Xue, Peng, Zhang, Xin, Wang, Kunkun, Zhan, Xiang, Wang, Xiaoping
Format: Article
Language:English
Subjects:
Linear optics
Optical interferometry
Two-dimensional quantum walks
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Multi-dimensional quantum walks provide a powerful tool for simulating quantum phenomena. We design a feasible scheme to implement two-dimensional quantum walks in a “real” position space, demonstrating a scalable quantum walk on a non-trivial graph structure with single photons and bulk optical interferometry. By combining the spatial modes and polarizations of photons, we expand the dimensions of the coin states from two to four and implement arbitrary four-side coin flipping. Furthermore, with the growth of the number of walk steps, the number of linear optical elements increases linearly. This significantly reduces the resources necessary for its feasible experimental realization. Our scheme is then remarkably scalable and feasible with current technologies. Our results illustrate the potential of a two-dimensional quantum walk as a route for simulating and understanding complex quantum systems.
ISSN:0030-4018
1873-0310
DOI:10.1016/j.optcom.2018.06.006