Hybrid Quantum-Classical Algorithm for Hydrodynamics

• URL: http://arxiv.org/abs/2202.00918v1
• Date: Wed, 2 Feb 2022 08:46:35 GMT
• Title: Hybrid Quantum-Classical Algorithm for Hydrodynamics
• Authors: Julien Zylberman, Giuseppe Di Molfetta, Marc Brachet, Nuno F. Loureiro, Fabrice Debbasch
• Abstract summary: A new model of nonlinear charged quantum relativistic fluids is presented. The model can be discretized into Discrete Time Quantum Walks (DTQWs) A new hybrid (quantum-classical) algorithm is proposed for implementing these walks on NISQ devices.
• Score: 0.0
• License: http://creativecommons.org/licenses/by-nc-nd/4.0/
• Abstract: 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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