## Anderson localization of entangled photons in an integrated quantum walk

- A Crespi
- Nat. Photon
- 2013

- Published 2014 in Scientific reports

Constructing a discrete model like a cellular automaton is a powerful method for understanding various dynamical systems. However, the relationship between the discrete model and its continuous analogue is, in general, nontrivial. As a quantum-mechanical cellular automaton, a discrete-time quantum walk is defined to include various quantum dynamical behavior. Here we generalize a discrete-time quantum walk on a line into the feed-forward quantum coin model, which depends on the coin state of the previous step. We show that our proposed model has an anomalous slow diffusion characterized by the porous-medium equation, while the conventional discrete-time quantum walk model shows ballistic transport.

@inproceedings{Shikano2014DiscretetimeQW,
title={Discrete-time quantum walk with feed-forward quantum coin},
author={Yutaka Shikano and Tatsuaki Wada and Junsei Horikawa},
booktitle={Scientific reports},
year={2014}
}