A Performance Study of Variational Quantum Algorithms for Solving the Poisson Equation on a Quantum Computer

M. Ali, M. Kabel · 2023 · Phys. Rev. Applied 20, 014054

| 编号 QC082 | 主题 硬件与展望 | 链接 arXiv:2211.14064 |

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。

Recent advances in quantum computing and their increased availability has led to a growing interest in possible applications. Among those is the solution of partial differential equations (PDEs) for, e.g., material or flow simulation. Currently, the most promising route to useful deployment of quantum processors in the short to near term are so-called hybrid variational quantum algorithms (VQAs). Thus, variational methods for PDEs have been proposed as a candidate for quantum advantage in the noisy intermediate scale quantum (NISQ) era. In this work, we conduct an extensive study of utilizing VQAs on real quantum devices to solve the simplest prototype of a PDE – the Poisson equation. Although results on noiseless simulators for small problem sizes may seem deceivingly promising, the performance on quantum computers is very poor. We argue that direct resolution of PDEs via an amplitude encoding of the solution is not a good use case within reach of today’s quantum devices – especially when considering large system sizes and more complicated non-linear PDEs that are required in order to be competitive with classical high-end solvers.

本站词条在引用该文献时，会以 wikilink（sources/QC082）链接到本页；右侧「反向链接」面板自动列出所有引用它的词条。