论文标题
通过连续变量量子计算机求解微分方程
Solving Differential Equations via Continuous-Variable Quantum Computers
论文作者
论文摘要
我们探讨了连续变量（CV）量子计算机如何求解经典的微分方程，从而利用其先天能力来表示Qumodes中的实数。具体而言，我们构建了变异CV量子回路[Killoran等，Phys。我们使用Pennylane / Strawberry Fields框架的模拟和参数优化表明了线性和非线性ODE的良好收敛性。
We explore how a continuous-variable (CV) quantum computer could solve a classic differential equation, making use of its innate capability to represent real numbers in qumodes. Specifically, we construct variational CV quantum circuits [Killoran et al., Phys.~Rev.~Research 1, 033063 (2019)] to approximate the solution of one-dimensional ordinary differential equations (ODEs), with input encoding based on displacement gates and output via measurement averages. Our simulations and parameter optimization using the PennyLane / Strawberry Fields framework demonstrate good convergence for both linear and non-linear ODEs.
