Hybrid Quantum-Classical Algorithm for Hydrodynamics

Autor:	Zylberman, Julien, Di Molfetta, Giuseppe, Brachet, Marc, Loureiro, Nuno F., Debbasch, Fabrice
Rok vydání:	2022
Předmět:	Quantum Physics Physics - Fluid Dynamics Physics - Plasma Physics
Druh dokumentu:	Working Paper
Popis:	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. Comment: 11 pages, 5 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2202.00918 Zobrazit plný text záznamu View this record from Arxiv