https://doi.org/10.1140/epjp/i2017-11577-6
Regular Article
Dynamics of quantum coherence in two-dimensional quantum walk on finite lattices
1
School of Electronic and Information Engineering, Foshan University, 528000, Foshan, China
2
School of Economics and Management, Wuyi University, 529020, Jiangmen, China
3
College of Mathematics and Informatics, South China Agricultural University, 510642, Guangzhou, China
* e-mail: situhaozhen@gmail.com
Received:
16
February
2017
Accepted:
29
May
2017
Published online:
7
July
2017
We study the dynamics of the l1 norm coherence in a two-dimensional quantum walk on finite lattices with four-dimensional (4D) and two-dimensional (2D) coins. It is observed that the boundaries suppress the growth of coherence of both the whole system and the position subsystem. The coherence of the quantum walk with a 2D coin is larger than that of the quantum walk with a 4D coin when it stabilizes after a number of steps. We also analyze the influence of two kinds of noise, i.e., broken links and lattice congestion, on the coherence of a bounded quantum walk. Experimental results show that both the broken links and the lattice congestion with low probability slightly increase the coherence of the whole system and the position subsystem. However, a high noise level significantly suppresses the growth of coherence, especially for static noise. The coherence of the coin subsystem is also analyzed and we find that the boundaries result in a large fluctuation of coherence of the coin subsystem.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, 2017
