Title: Efficient VQE Approach for Accurate Simulations on the Kagome Lattice Show Chinese title

Title: 用于凯格姆格点精确模拟的高效VQE方法

Abstract: The Kagome lattice, a captivating lattice structure composed of interconnected triangles with frustrated magnetic properties, has garnered considerable interest in condensed matter physics, quantum magnetism, and quantum computing.The Ansatz optimization provided in this study along with extensive research on optimisation technique results us with high accuracy. This study focuses on using multiple ansatz models to create an effective Variational Quantum Eigensolver (VQE) on the Kagome lattice. By comparing various optimisation methods and optimising the VQE ansatz models, the main goal is to estimate ground state attributes with high accuracy. This study advances quantum computing and advances our knowledge of quantum materials with complex lattice structures by taking advantage of the distinctive geometric configuration and features of the Kagome lattice. Aiming to improve the effectiveness and accuracy of VQE implementations, the study examines how Ansatz Modelling, quantum effects, and optimization techniques interact in VQE algorithm. The findings and understandings from this study provide useful direction for upcoming improvements in quantum algorithms,quantum machine learning and the investigation of quantum materials on the Kagome Lattice. Show Chinese abstract

Abstract: 凯莫格 lattice，一种由相互连接的三角形组成的引人入胜的 lattice 结构，具有受挫的磁性特性，在凝聚态物理、量子磁性和量子计算中引起了广泛关注。本研究提供的 Ansatz 优化以及对优化技术的深入研究，使我们能够获得高精度的结果。本研究专注于使用多个 ansatz 模型在凯莫格 lattice 上创建一个有效的变分量子本征求解器（VQE）。通过比较各种优化方法并优化 VQE ansatz 模型，主要目标是高精度地估算基态属性。本研究通过利用凯莫格 lattice 独特的几何配置和特性，推进了量子计算，并加深了我们对具有复杂 lattice 结构的量子材料的理解。旨在提高 VQE 实现的有效性和准确性，本研究探讨了 Ansatz 建模、量子效应和优化技术在 VQE 算法中的相互作用。本研究的发现和理解为未来在量子算法、量子机器学习以及凯莫格 lattice 上的量子材料研究中的改进提供了有用的指导。