论文标题
量子退火的Kerr-Noninalear参数振荡器的有效自旋模型
Effective spin models of Kerr-nonlinear parametric oscillators for quantum annealing
论文作者
论文摘要
提出了一种使用Kerr-Nonlinear参数振荡器（KPO）的量子退火方法（QA）。该方法由玻感运算符描述，并且基于横向场模型具有不同的特征。作为在质量保证的常规框架中描述此方法的第一步，我们提出了KPO的有效自旋模型。自旋模型是通过荷斯坦 - 普里马科夫转换的变体获得的，并由自旋$ s $ oberators描述。分别映射到横向场，纵向场，Z-组件的非线性项，分别映射到横向场，纵向场和X组件的横向场，分别映射到横向场，纵向场和X组件的术语。通过分析几种设置中与KPO的自旋模型，我们证明了相当大的$ S $和调谐参数的当前自旋模型定性地重现了KPO的行为。
A method of quantum annealing (QA) using Kerr-nonlinear parametric oscillators (KPOs) was proposed. This method is described by bosonic operators and has different characteristics from QA based on the transverse-field Ising model. As the first step to describe this method in the conventional framework of QA, we propose effective spin models of KPOs. The spin models are obtained via a variant of the Holstein-Primakoff transformation and are described by spin-$s$ operators. The terms for detuning, coherent driving, parametric driving, and the Kerr effect are mapped to the transverse field, longitudinal field, nonlinear terms for the z- and x-components of spins, respectively. By analyzing the spin models corresponding to KPOs in several settings, we demonstrate that the present spin models for a rather large $s$ and tuned parameters qualitatively reproduce behavior of KPOs.
