Second-order topological insulator in a coinless discrete-time quantum walk

• URL: http://arxiv.org/abs/2003.08637v1
• Date: Thu, 19 Mar 2020 09:07:34 GMT
• Title: Second-order topological insulator in a coinless discrete-time quantum walk
• Authors: Ya Meng, Gang Chen, and Suotang Jia
• Abstract summary: We construct a two-dimensional coinless quantum walk to simulate second-order topological insulator with zero-dimensional corner states. We show that both of the corner and edge states can be observed through the probability distribution of the walker. We propose a possible experimental implementation to realize this discrete-time quantum walk in a three-dimensional integrated photonic circuits.
• Score: 3.7528520149256006
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Higher-order topological insulators not only exhibit exotic bulk-boundary correspondence principle, but also have an important application in quantum computing. However, they have never been achieved in quantum walk. In this paper, we construct a two-dimensional coinless discrete-time quantum walk to simulate second-order topological insulator with zero-dimensional corner states. We show that both of the corner and edge states can be observed through the probability distribution of the walker after multi-step discrete-time quantum walks. Furthermore, we demonstrate the robustness of the topological corner states by introducing the static disorder. Finally, we propose a possible experimental implementation to realize this discrete-time quantum walk in a three-dimensional integrated photonic circuits. Our work offers a new route to explore exotic higher-order topological matters using discrete-time quantum walks.

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