论文标题
Griffiths-McCoy奇异性在稀释的嵌合体图上：蒙特卡洛模拟和量子硬件实验
Griffiths-McCoy singularity on the diluted Chimera graph: Monte Carlo simulations and experiments on the quantum hardware
论文作者
论文摘要
Griffiths-McCoy的奇异性是低维无序量子自旋系统的现象特征，其中磁敏感性即使在顺磁性阶段也显示出奇异的行为，也是外场的函数。我们研究了在横向场模型中是否观察到这种现象在准二维稀释的嵌合图上通过量子蒙特卡洛模拟以及通过用作量子模拟器的D-WAVE量子量子进行了广泛的实验。从量子蒙特卡洛模拟中，可以发现证据表明在顺磁性阶段存在格里菲斯·麦科伊奇异性。量子硬件上的实验方法产生的结果由于模拟量子设备的固有噪声和错误而产生的结果较不明确，但仍可以解释为与蒙特卡洛案例中的Griffiths-McCoy奇异性的存在一致。这是基于模拟量子模拟器的第一种实验方法，用于研究无序量子自旋系统中Griffiths-McCoy奇异性的微妙现象，通过该模拟器，我们通过该模拟器阐明了D-Wave量子退火器作为量子模拟器的能力和局限性。
The Griffiths-McCoy singularity is a phenomenon characteristic of low-dimensional disordered quantum spin systems, in which the magnetic susceptibility shows singular behavior as a function of the external field even within the paramagnetic phase. We study whether this phenomenon is observed in the transverse-field Ising model with disordered ferromagnetic interactions on the quasi-two-dimensional diluted Chimera graph both by quantum Monte Carlo simulations and by extensive experiments on the D-Wave quantum annealer used as a quantum simulator. From quantum Monte Carlo simulations, evidence is found for the existence of the Griffiths-McCoy singularity in the paramagnetic phase. The experimental approach on the quantum hardware produces results that are less clear-cut due to the intrinsic noise and errors in the analog quantum device but can nonetheless be interpreted to be consistent with the existence of the Griffiths-McCoy singularity as in the Monte Carlo case. This is the first experimental approach based on an analog quantum simulator to study the subtle phenomenon of Griffiths-McCoy singularities in a disordered quantum spin system, through which we have clarified the capabilities and limitations of the D-Wave quantum annealer as a quantum simulator.
