论文标题
确定嵌入D-Wave量子退火器引起的链强度
Determination of Chain Strength induced by Embedding in D-Wave Quantum Annealer
论文作者
论文摘要
D-WAVE量子退火器需要用数量连接的铁磁（FM）链嵌入，因为它无法捕获量子位之间的精确长距离耦合，并保留取决于硬件类型的特定体系结构。因此，确定链中维持FM FM订单所需的链强度$ J_C $对于量子退火的准确性至关重要。在这项研究中，我们设计了各种嵌入的有序和无序量子的组合优化问题，以预测适当的$ j_c $值。我们使用精确的方法分别在没有链条的组合优化问题中分析了地面和首先激发状态之间的能量间隔$δ_s$和$δ_c$。我们还测量了在许多模拟退火镜头中观察到的每个站点$ e_g $确切的地面能量的概率。我们证明，$ J_C $的确定对组合优化问题中Qubit的疾病越来越敏感。此外，适当的$ j_c $的值，其中$ p $的值最大值，随着$Δ_s$的减少而增加。最后，在大约$δ_c/δ_s= 0.25 $和$ 2.1 e_g $中分别在有序和无序的Qubits中观察到$ j_c $的适当值。
The D-wave quantum annealer requires embedding with ferromagnetic (FM) chains connected by several qubits, because it cannot capture exact long-range coupling between qubits, and retains the specific architecture that depends on the hardware type. Therefore, determination of the chain strength $J_c$ required to sustain FM order of qubits in the chains is crucial for the accuracy of quantum annealing. In this study, we devise combinatorial optimization problems with ordered and disordered qubits for various embeddings to predict appropriate $J_c$ values. We analyze the energy interval $Δ_s$ and $Δ_c$ between ground and first excited states in the combinatorial optimization problems without and with chains respectively, using the exact approach. We also measure the probability $p$ that the exact ground energy per site $E_g$ is observed in many simulated annealing shots. We demonstrate that the determination of $J_c$ is increasingly sensitive with growing disorder of qubits in the combinatorial optimization problems. In addition, the values of appropriate $J_c$, where the values of $p$ are at a maximum, increase with decreasing $Δ_s$. Finally, the appropriate value of $J_c$ is shown to be observed at approximately $Δ_c/Δ_s=0.25$ and $2.1 E_g$ in the ordered and disordered qubits, respectively.
