论文标题
量子退火中的两参数反剥糖驾驶
Two-parameter counter-diabatic driving in quantum annealing
论文作者
论文摘要
我们将两参数近似的反浸润项引入到横向场ISING模型的哈密顿量，以加速趋于溶液的量子，从而推广了现有的单参数方法。该方案等同于横向场模型中纵向和横向场的非常规的绝生绝型控制，因此比介绍新术语（例如非拼写型催化剂朝着相同的绩效增强目标的目标）更为可行。我们测试了具有$ p = 3 $的$ p $ -SPIN型号的想法，该型号具有一阶量子相变，并表明我们的两参数方法与传统的量子退火以及单参数方法相比，我们的两参数方法可显着更大的地面富达和剩余能量。与传统方法相比，我们还从解决方案的时间上找到了缩放优势。
We introduce a two-parameter approximate counter-diabatic term into the Hamiltonian of the transverse-field Ising model for quantum annealing to accelerate convergence to the solution, generalizing an existing single-parameter approach. The protocol is equivalent to unconventional diabatic control of the longitudinal and transverse fields in the transverse-field Ising model and thus makes it more feasible for experimental realization than an introduction of new terms such as non-stoquastic catalysts toward the same goal of performance enhancement. We test the idea for the $p$-spin model with $p=3$, which has a first-order quantum phase transition, and show that our two-parameter approach leads to significantly larger ground-state fidelity and lower residual energy than those by traditional quantum annealing as well as by the single-parameter method. We also find a scaling advantage in terms of the time to solution as a function of the system size in a certain range of parameters as compared to the traditional methods.
