A shorter processing time is desirable for quantum computation to minimize
the effects of noise. We propose a simple procedure to variationally determine
a set of parameters in the transverse-field Ising model for quantum annealing
appended with a field along the $y$ axis. The method consists of greedy
optimization of the signs of coefficients of the $y$-field term based on the
outputs of short annealing processes. We test the idea in the ferromagnetic
system with all-to-all couplings and spin-glass problems, and find that the
method outperforms the traditional form of quantum annealing and simulated
annealing in terms of the success probability and the time to solution, in
particular in the case of shorter annealing times, achieving the goal of
improved performance while avoiding noise. The non-stoquastic $\sigma^y$ term
can be eliminated by a rotation in the spin space, resulting in a non-trivial
diabatic control of the coefficients in the stoquastic transverse-field Ising
model, which may be feasible for experimental realization.

本研究提出了一种简单的过程以变量确定具有 $y$ 轴方向场的横场伊辛模型中的参数集，该方法通过短退火过程的输出对 $y$ 场项系数的符号进行贪婪优化，通过测试，我们发现该方法表现优于传统量子退火和模拟退火，特别是在更短的冷却时间下，提高了解决问题的概率和时间。