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Proceedings Paper

Simulating continuous-time and discrete-time quantum walks with self-collimated light
Author(s): Qingyan Ma; Yufei Wang; Zhishuang Liu; Wanhua Zheng
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Paper Abstract

Quantum walks (QWs) have been proposed as powerful tools in a broad range of fields. Discrete-time QW (DTQW) is an extension of the classical random walk, where the walker goes back and forth along a line and the direction at each step depends on the result of a fair coin flip. Continuous-time QW (CTQW) can be shown as a limit of DTQW. Many objects, such as atoms, trapped ions etc., have been used to simulate QW. But photon, with the wave-particle duality, is easy to generate and can be easily manipulated in many platforms, such as space light circuits and integrated optical platforms. Silicon-on-insulator (SOI) integrated optics have been widely used, among these self-collimation photonic crystal shows a great potential. In this paper we propose the simulation of CTQWs and DTQWs with self-collimation photonic crystal chip fabricated on 830 nm thick top silicon SOI. Similarity between theory results and simulations are analyzed.

Paper Details

Date Published: 24 October 2017
PDF: 7 pages
Proc. SPIE 10460, AOPC 2017: Optoelectronics and Micro/Nano-Optics, 1046018 (24 October 2017); doi: 10.1117/12.2284914
Show Author Affiliations
Qingyan Ma, Institute of Semiconductors (China)
Univ. of Chinese Academy of Sciences (China)
Yufei Wang, Institute of Semiconductors (China)
Univ. of Chinese Academy of Sciences (China)
Zhishuang Liu, Institute of Semiconductors (China)
Univ. of Chinese Academy of Sciences (China)
Wanhua Zheng, Institute of Semiconductors (China)
Univ. of Chinese Academy of Sciences (China)


Published in SPIE Proceedings Vol. 10460:
AOPC 2017: Optoelectronics and Micro/Nano-Optics
Min Qiu; Min Gu; Xiaocong Yuan; Zhiping Zhou, Editor(s)

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