The main ideas behind a research plan to use the Wigner formulation as a bridge between classical and quantum probabilistic algorithms are presented, focusing on a particular case: the Quantum analog of Stochastic Gradient Descent in its continuous-time limit based on the Wigner formulation of Open Quantum Systems.

翻译：本文提出了一个研究计划的核心思想：利用维格纳公式作为经典概率算法与量子概率算法之间的桥梁，重点关注一个特定案例——基于开放量子系统维格纳公式的连续时间极限下的量子随机梯度下降模拟。