Open AccessEffects of initial states on continuous-time quantum walk in the optical waveguide array
Author(s) -
Chao Ren,
Peng Shi,
Kai Liu,
Wendong Li,
Zhao Jie,
Gu Yong-Jian
Publication year - 2013
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.62.090301
Subject(s) - quantum walk , coherence (philosophical gambling strategy) , waveguide , quantum , physics , photon , quantum state , coupling (piping) , quantum mechanics , statistical physics , quantum algorithm , mechanical engineering , engineering
Continuous-time quantum random walk is constructed when photons propagate passing the branches of the waveguide array. It is possible to make quantum simulator, based on the quantum walk in waveguides, on a commercial scale firstly, but there are still some problems such as input state, the structure and boundary of the waveguides that should be treated at present. A nearest-neighbor coupling model is used to deal with the question of coupled waveguides and an explicit analytical solution can be derived. Using the analytical solution, we analyze the effects of input state on particle number probability distribution function and the second-order coherence degree of the quantum walk process in periodic waveguides. The results show that the symmetry properties of the input state would influence the distribution of second-order coherence degree, but have little effect on the probability distribution function.