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Duality Quantum Simulation of the Yang-Baxter Equation

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Abstract

The Yang-Baxter equation has become a significant theoretical tool in a variety of areas of physics. It is desirable to investigate the quantum simulation of the Yang-Baxter equation itself, exploring the connections between quantum integrability and quantum information processing, in which the unity of both the Yang-Baxter equation system and its quantum entanglement should be kept as a whole. In this work, we propose a duality quantum simulation algorithm of the Yang-Baxter equation, which contains the Yang-Baxter system and an ancillary qubit. Contrasting to conventional methods in which the two hand sides of the equation are simulated separately, they are simulated simultaneously in this proposal. Consequently, it opens up a way to further investigate entanglements in a Yang-Baxter equation.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China Grant No. 11705004, Open Research Fund Program of the State Key Laboratory of Low-Dimensional Quantum Physics No. KF201710, Organization Department of Beijing Municipal Committee Talents Project No. 2017000020124G050, NCUT ‘The Belt and Road Initiatives’ and Research Startup Fund, and the Fundamental Research Funds of Beijing Municipal Education Commission.

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  1. Department of Physics, College of Science, North China University of Techology, Beijing, 100144, People’s Republic of China

    Chao Zheng

  2. State Key Laboratory of Low-Dimensional Quantum Physics and Department of Physics, Tsinghua University, Beijing, 100084, China

    Shijie Wei

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  1. Chao Zheng
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  2. Shijie Wei
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Correspondence to Chao Zheng.

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Zheng, C., Wei, S. Duality Quantum Simulation of the Yang-Baxter Equation. Int J Theor Phys 57, 2203–2212 (2018). https://doi.org/10.1007/s10773-018-3745-z

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