论文标题
量子奇异价值转换的线性非热边界值问题的仿真
Simulation of linear non-Hermitian boundary-value problems with quantum singular value transformation
论文作者
论文摘要
我们提出了一种量子算法，用于模拟不均匀线性介质中的耗散波作为边界值问题。使用所谓的量子奇异值转换（QSVT），我们构建了一个量子电路，该量子电路在具有传出边界条件的一维系统中建模电磁波的传播。还讨论了相应的测量程序。 QSVT算法的局限性与分散矩阵在弱耗散时所表现出的较大条件数有关。
We propose a quantum algorithm for simulating dissipative waves in inhomogeneous linear media as a boundary-value problem. Using the so-called quantum singular value transformation (QSVT), we construct a quantum circuit that models the propagation of electromagnetic waves in a one-dimensional system with outgoing boundary conditions. The corresponding measurement procedure is also discussed. Limitations of the QSVT algorithm are identified in connection with the large condition numbers that the dispersion matrices exhibit at weak dissipation.
