论文标题

用于流体动力学的杂化量子古典算法

Hybrid Quantum-Classical Algorithm for Hydrodynamics

论文作者

Zylberman, Julien, Di Molfetta, Giuseppe, Brachet, Marc, Loureiro, Nuno F., Debbasch, Fabrice

论文摘要

提出了一种非线性带电量子相对论流体的新模型。该模型可以转离离散的时间量子步行(DTQW),并提出了用于在NISQ设备上实现这些步道的新型混合(量子古典)算法。高分辨率(最多$ n = 2^{17} $网格点)使用该算法对当前IBM NISQ进行相对论和非偏见的流体动力学冲击的混合数值模拟,并用该算法执行并显示以在古典计算机上复制等效模拟。这项工作表明,可以在NISQ上模拟非线性流体动力学,并打开模拟其他,量子和非量子流体(包括等离子体)的大门,并具有更多的通用量子步行和量子自动机。

A new model of nonlinear charged quantum relativistic fluids is presented. This model can be discretized into Discrete Time Quantum Walks (DTQWs), and a new hybrid (quantum-classical) algorithm for implementing these walks on NISQ devices is proposed. High resolution (up to $N=2^{17}$ grid points) hybrid numerical simulations of relativistic and non-relativistic hydrodynamical shocks on current IBM NISQs are performed with this algorithm and shown to reproduce equivalent simulations on classical computers. This work demonstrates that nonlinear fluid dynamics can be simulated on NISQs, and opens the door to simulating other, quantum and non-quantum fluids, including plasmas, with more general quantum walks and quantum automata.

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