论文标题
用于解决自由边界价值问题的混合经典量子框架，并在建模电动接触现象中的应用
A Hybrid Classical-Quantum framework for solving Free Boundary Value Problems and Applications in Modeling Electric Contact Phenomena
论文作者
论文摘要
在本文中，我们详细阐述了一个混合经典量子框架，该框架允许人们建模并解决电触点中发生的热量和传质问题。我们利用特殊功能和Harrow-Hassidim-lloyd（HHL）量子算法来查找温度和弧通量的功能，并大致用于Stefan型问题。我们正在考虑的Stefan型问题基于具有自由边界的广义热方程。作为示例，我们考虑了逆一相和两相Stefan问题的精确和近似解决方案。反向概括的一阶段Stefan问题被视为模型问题。在IBM量子机上进行了计算实验。
In this paper we elaborate a hybrid classical-quantum framework which allows one to model and solve heat and mass transfer problems occurring in electric contacts. We utilize special functions and Harrow-Hassidim-Lloyd (HHL) quantum algorithm for finding temperature and arc flux functions exactly and approximately for the Stefan type problems. The Stefan type problems we are considering are based on the Generalized Heat Equation with free boundaries. As examples we consider exact and approximate solutions of inverse one-phase and two-phase Stefan problems. An Inverse Generalized One-Phase Stefan Problem is considered as a model problem. Computational experiments were conducted and demonstrated on IBM Quantum Machine.
