Yang-Baxter方程（YBE）是一个基本的物理方程，它描写了许多物理体系的性质，包括量子可积系统和多体问题，统计力学系统，精确可解模型系统等。近年发现YBE与量子纠缠，量子门构造，拓扑量子计算等有着密切关系。本项目研究满足YBE物理体系的量子纠缠性质，对其进行量子模拟研究和实验实现。具体包括：1）对YBE体系开展量子纠缠研究，研究量子纠缠随着参数变化的演化问题；2）利用对偶量子计算框架，从一个大的量子力学空间构造具有YBE性质的非厄米子空间，对其进行量子模拟研究及实验实现；3）研究YBE的拓扑性质，利用YBE构造基本的量子门操作，实现量子调控。这些研究一方面可以加深对YBE物理体系的理解；另一方面可以探索其在量子计算的潜在应用。

The Yang-Baxter Equation (YBE) is a fundamental equation in Physics, describing a lot of Physics systems, such as quantum integrable and many body systems, statistical mechanics systems, exactly solvable model systems, etc. It is found gradually that the YBE is naturally linked to a hot area of frontier research, quantum information and computing, being closely related to quantum entanglement, quantum gates, topological quantum computing, etc. This project would investigate the quantum properties of the Yang-Baxter system such as quantum entanglement, and quantum simulation of the YBE. Specifically, this project contains three main research points as follow: 1) Investigate the evolution of quantum entanglement as the relation of parameters is changed in the YBE. 2) Quantum simulation of the YBE system, especially for the non-unitary cases. Construct a non-unitary YBE quantum system as a subspace of a whole Hilbert space with higher dimensions using the method of duality quantum computing. 3) Investigate the topological properties of the YBE to construct the basic quantum gates. On one hand, this program is good to understand the YBE better. On the other hand, it would discover further applications of the YBE to quantum information science.