Experimental simulation of the four-dimensional Yang-Baxter equation on a spin quantum simulator
Experimental simulation of the four-dimensional Yang-Baxter equation on a spin quantum simulator
复制标题
DOI：
10.1103/physreva.102.012610
复制
发表时间：
2020-07
影响因子：
2.9
通讯作者：
Hengyan Wang;Shijie Wei;Chao Zheng;X. Kong;Jingwei Wen;Xinfang Nie;Jun Li;Dawei Lu;T. Xin
中科院分区：
文献类型：
--
作者：
Hengyan Wang;Shijie Wei;Chao Zheng;X. Kong;Jingwei Wen;Xinfang Nie;Jun Li;Dawei Lu;T. Xin
杨-巴克斯特方程(YBE)在统计力学的可积模型中有许多应用。最近的研究表明，YBE可以进一步应用于量子信息处理。相反，量子模拟也为有效地检测量子器件中的量子纠缠提供了新的方法。在这里，我们采用了受前人工作启发的方法，在一个四量子比特的核磁共振量子处理器上进行了YBE的实验模拟。在不借助量子状态层析成像的情况下，可以通过测量辅助量子比特来初步确定YBE是否满意，并且同时模拟YBE的两个手侧，而不是以现有协议中涉及的单独形式。实验结果表明，在满足YBE条件的情况下，识别正确率达到98.1%以上。通过数值模拟和实验研究了YBE系统中的整体纠缠和局域纠缠。研究发现，光场纠缠不仅是产生全局纠缠的工具，而且是局域纠缠相等的征兆。
The Yang-Baxter equation (YBE) has created many applications in the integrable models of the statistical mechanics. It is recently shown that the YBE can be further applied in quantum information processing. Conversely, quantum simulation also provides novel approaches for effectively checking the YBE in quantum devices. Here, we adopted the method inspired by the previous work to experimentally perform the simulation of the YBE on a four-qubit nuclear magnetic resonance quantum processor. Whether the YBE is satisfied or not can be preliminarily determined by measuring the ancillary qubit without the assistance of quantum state tomography, and two hand sides of the YBE are concurrently simulated, not in separate forms involved in the existing protocols. The experimental result shows that the discrimination accuracy is over 98.1% when the condition of YBE is satisfied. The global and local entanglements in the YBE system are also studied by the numerical simulation and experiments. It is found that the YBE is not only a tool to yield the global entanglement but also the symptom when the local entanglement is equal to each other.