论文标题
在量子计算机上使用扰动理论方法
Towards Perturbation Theory Methods on a Quantum Computer
论文作者
论文摘要
扰动理论（PT）可能是物理学家和化学家最有力，最富有成果的工具之一，它引起了原子和亚原子物理学的开花的爆炸。即使PT今天使用良好，PT的技术在量子计算中也显着缺乏。在这里，我们提出了一个量子电路，该量子电路通过PT方法估算了能量和本征状校正，我们声称在估计二阶能量校正时，我们声称的能量和委托书校正远远超过了经典版本。通过在扩展哈伯德模型上的应用程序进一步证明了我们的方法，其中还提供了基于qiskit的数值模拟。与流行的量子变量电路不同，我们的电路中没有训练或优化过程，所有参数均来自不受干扰的汉密尔顿。我们的工作为使用量子设备研究复杂系统提供了一种新的方法，这可能会阐明基于PT的更复杂方法的量子实现。
Perturbation theory (PT) might be one of the most powerful and fruitful tools for both physicists and chemists, which evoked an explosion of applications with the blooming of atomic and subatomic physics. Even though PT is well-used today, techniques for PT are significantly lacking in quantum computing. Here we present a quantum circuit estimating both the energy and eigenstates corrections with PT methods, which we claim is far superior to the classical version when estimating the second order energy correction. Our approach is further demonstrated with an application on the extended Hubbard model, where numerical simulation based on qiskit is also presented. Unlike the popular quantum variational circuit, there is no training or optimizing process in our circuit, and all parameters are derived from the unperturbed Hamiltonian. Our work offers a new approach to studying complex systems with quantum devices, which might shed light on the quantum implementation of the more intricate methods based on PT.
