Quantum Simulator for Transport Phenomena in Fluid Flows

TL;DR

This paper introduces a quantum simulator leveraging pseudospin-boson systems to model fluid transport phenomena, enabling quantum encoding of lattice Boltzmann dynamics for potential implementation on quantum hardware.

Contribution

It develops a novel quantum simulation framework for fluid transport phenomena based on Dirac and lattice Boltzmann equations, suitable for current quantum platforms.

Findings

Quantum encoding of fluid dynamics transport phenomena.

Implementation of streaming and collision processes with quantum operations.

Feasibility for realization on ion-trap and circuit QED platforms.

Abstract

Transport phenomena still stand as one of the most challenging problems in computational physics. By exploiting the analogies between Dirac and lattice Boltzmann equations, we develop a quantum simulator based on pseudospin-boson quantum systems, which is suitable for encoding fluid dynamics transport phenomena within a lattice kinetic formalism. It is shown that both the streaming and collision processes of lattice Boltzmann dynamics can be implemented with controlled quantum operations, using a heralded quantum protocol to encode non-unitary scattering processes. The proposed simulator is amenable to realization in controlled quantum platforms, such as ion-trap quantum computers or circuit quantum electrodynamics processors.