论文标题
非均匀偏微分方程量子算法的替代方案
Alternatives to a nonhomogeneous partial differential equation quantum algorithm
论文作者
论文摘要
最近J. M. Arrazola等。 [物理。 Rev. A 100，032306（2019）]提出了一种用于求解表单$aψ（\ textbf {r}）= f（\ textbf {r}）的量子算法。通过将操作员$ a $以及特殊辅助模式的制备和测量倒置，可以获得其非均匀解决方案。在这项工作中，我们建议对其结构进行修改，以降低准备初始辅助状态的成本并提高一组特定输入的算法的精度。这些成就使基于当今技术的量子算法可以更轻松地实施实验。
Recently J. M. Arrazola et al. [Phys. Rev. A 100, 032306 (2019)] proposed a quantum algorithm for solving nonhomogeneous linear partial differential equations of the form $Aψ(\textbf{r})=f(\textbf{r})$. Its nonhomogeneous solution is obtained by inverting the operator $A$ along with the preparation and measurement of special ancillary modes. In this work we suggest modifications in its structure to reduce the costs of preparing the initial ancillary states and improve the precision of the algorithm for a specific set of inputs. These achievements enable easier experimental implementation of the quantum algorithm based on nowadays technology.
