The entanglement of deterministic aperiodic quantum walks*

Project supported by the National Natural Science Foundation of China (Grant Nos. 11575087 and 11175087).

Liu Ting-Ting1, Hu Ya-Yun2, Zhao Jing3, Zhong Ming1, †, Tong Pei-Qing1, 4, ‡
       

(color online) Averaged entanglement 〈S(t)〉 for the static 1st GF QWs with α = π/3, β = π/6. The red, orange, and blue curves correspond to n = 1, m = 1; n = 2, m = 1, and n = 3, m = 1, respectively. The insets (a) and (b) are ΔS(t) and ΔE(t), respectively. The solid curves were obtained by fitting of the simulated data, where we have dropped the first 100 points to better highlight the asymptotic behavior. The slopes of these solids are (−0.33±0.002).