论文标题
通过Schrodingeration对部分微分方程进行量子模拟
Quantum simulation of partial differential equations via Schrodingerisation
论文作者
论文摘要
我们提出了一种简单的新方法 - 称为schrodingeration-通过量子模拟模拟通用线性偏微分方程。使用一个简单的新变换（称为扭曲的相变形），任何线性偏微分方程都可以简单地将其重新铸造到Schrodinger方程的系统中。无需更复杂的方法，可以直接在动力学方程的级别上看到。这种方法不仅适用于PDE，还适用于经典问题，也适用于量子问题的方法，例如在半经典限制中随机介质中量子基态，吉布斯状态的制备和量子状态的模拟。
We present a simple new way - called Schrodingerisation - to simulate general linear partial differential equations via quantum simulation. Using a simple new transform, referred to as the warped phase transformation, any linear partial differential equation can be recast into a system of Schrodinger's equations - in real time - in a straightforward way. This can be seen directly on the level of the dynamical equations without more sophisticated methods. This approach is not only applicable to PDEs for classical problems but also those for quantum problems - like the preparation of quantum ground states, Gibbs states and the simulation of quantum states in random media in the semiclassical limit.
