【摘要】 对于具有非局部边界条件的热方程，在现有差分方法的基础上，对差分后的线性方程组求解步骤进行改进，将得到的线性方程组通过结构化矩阵的块编码技术和量子态制备技术完成经典信息到量子信息的转换，使得方程组可采用量子线性求解器进行求解，最后通过l_∞向量态层析方法进行量子态信息的输出，实现具有非局部边界条件的热方程的量子方法求解。更多还原

【Abstract】 For the heat equation with nonlocal boundary conditions, on the basis of the existing difference method, the solving steps of the linear equations after difference are improved. The obtained linear equations are converted from classical information to quantum information through block coding technology of structured matrix and quantum state preparation technology, so that the equations can be solved by quantum linear solver. Finally, the quantum state information is output by l_∞ vector state tomography method, and the quantum method of heat equation with nonlocal boundary conditions is realized.更多还原