论文标题

Gutzwiller混合量子量子计算方法的相关材料

Gutzwiller Hybrid Quantum-Classical Computing Approach for Correlated Materials

论文作者

Yao, Yongxin, Zhang, Feng, Wang, Cai-Zhuang, Ho, Kai-Ming, Orth, Peter P.

论文摘要

嘈杂的中间量子量子(NISQ)计算技术的快速进步导致了新型资源效率的混合量子量子算法的发展,例如变异量子本质量器(VQE),可以解决量子化学,物理学和材料科学方面的开放挑战。在NISQ设备上已经证明了针对小分子的原则量子化学模拟。尽管理论上已经提出了几种相关材料的方法,但尚未证明对当前量子设备相互作用的周期性模型的NISQ模拟。在这里,我们基于Gutzwiller变化嵌入方法开发了相关电子系统的混合量子古典模拟框架。我们在Rigetti量子处理单元(QPU)上实施此框架,并将其应用于周期性的Anderson模型,该模型描述了与非相关的重型电子带杂交与非相互作用传导电子的杂交。我们的仿真结果定量地重现了已知的基态量子相图,包括金属,近多和莫特绝缘阶段。这是对QPU上执行的无限相关晶格模型的第一个完全自洽的混合量子古典模拟,表明Gutzwiller混合量子量子量子嵌入式框架是一种强大的方法,可以模拟NISQ硬件上的相关材料。这项基准研究还提出了在NISQ设备上实用量子优势的具体途径。

Rapid progress in noisy intermediate-scale quantum (NISQ) computing technology has led to the development of novel resource-efficient hybrid quantum-classical algorithms, such as the variational quantum eigensolver (VQE), that can address open challenges in quantum chemistry, physics and material science. Proof-of-principle quantum chemistry simulations for small molecules have been demonstrated on NISQ devices. While several approaches have been theoretically proposed for correlated materials, NISQ simulations of interacting periodic models on current quantum devices have not yet been demonstrated. Here, we develop a hybrid quantum-classical simulation framework for correlated electron systems based on the Gutzwiller variational embedding approach. We implement this framework on Rigetti quantum processing units (QPUs) and apply it to the periodic Anderson model, which describes a correlated heavy electron band hybridizing with non-interacting conduction electrons. Our simulation results quantitatively reproduce the known ground state quantum phase diagram including metallic, Kondo and Mott insulating phases. This is the first fully self-consistent hybrid quantum-classical simulation of an infinite correlated lattice model executed on QPUs, demonstrating that the Gutzwiller hybrid quantum-classical embedding framework is a powerful approach to simulate correlated materials on NISQ hardware. This benchmark study also puts forth a concrete pathway towards practical quantum advantage on NISQ devices.

扫码加入交流群

加入微信交流群

微信交流群二维码

扫码加入学术交流群,获取更多资源