Quantum simulation of partial differential equations via Schrödingerisation

S. Jin, N. Liu, Y. Yu · 2024 · Phys. Rev. Lett. 133, 230602

| 编号 QC028 | 主题 量子 PDE 求解 | 链接 arXiv:2212.13969 |

摘要

摘要保留原文（英文）

摘要取自 arXiv / 出版方元数据，未作翻译，以保证与原文一致。

We present a simple new way–called Schrödingerisation– 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 Schrödinger’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.

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