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Topological quantum walks in cavity-based quantum networks

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Abstract

We present a protocol to implement discrete-time quantum walks and simulate topological insulator phases in cavity-based quantum networks, where a single photon is the quantum walker and multiple cavity input–output processes are employed to realize a polarization-dependent translation operation. Different topological phases can be simulated through tuning the single-photon polarization rotation angles. We show that both the topological boundary states and topological phase transitions can be directly observed via measuring the final photonic density distribution. Moreover, we also demonstrate that these topological signatures are quite robust to practical imperfections. Our work opens a new prospect using cavity-based quantum networks as quantum simulators to study discrete-time quantum walks and mimic condensed matter physics.

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Acknowledgements

The work was supported by National Key R&D Program of China (2017YFA0304203); Natural National Science Foundation of China (11604392, 11674200, 11434007); Changjiang Scholars and Innovative Research Team in University of Ministry of Education of China (IRT\(\_\)17R70); Fund for Shanxi “1331 Project” Key Subjects Construction; 111 Project (D18001).

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Authors and Affiliations

  1. State Key Laboratory of Quantum Optics and Quantum Optics Devices, Institute of Laser Spectroscopy, Shanxi University, Taiyuan, 030006, Shanxi, China

    Ya Meng, Feng Mei, Gang Chen & Suo-Tang Jia

  2. Collaborative Innovation Center of Extreme Optics, Shanxi University, Taiyuan, 030006, Shanxi, China

    Ya Meng, Feng Mei, Gang Chen & Suo-Tang Jia

  3. Collaborative Innovation Center of Light Manipulations and Applications, Shandong Normal University, Jinan, 250358, China

    Gang Chen

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  1. Ya Meng
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  2. Feng Mei
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  3. Gang Chen
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  4. Suo-Tang Jia
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Correspondence to Feng Mei or Gang Chen.

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Meng, Y., Mei, F., Chen, G. et al. Topological quantum walks in cavity-based quantum networks. Quantum Inf Process 19, 118 (2020). https://doi.org/10.1007/s11128-020-2614-x

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