Quantum algorithm for the radiative-transfer equation

Asuka Igarashi

doi:10.1103/PhysRevApplied.21.034010

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Quantum algorithm for the radiative-transfer equation

2024-03-07

Asuka Igarashi *

Tadashi Kadowaki

Shiro Kawabata

DOI：10.1103/PhysRevApplied.21.034010

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Abstract

En 中文

The radiation transfer equation is widely used for simulations, for example, heat transfer in engineering, diffuse optical tomography in healthcare, and radiation hydrodynamics in astrophysics. By combining the lattice Boltzmann method, we propose a quantum algorithm for radiative transfer. This algorithm encompasses all the essential physical processes of radiative transfer: absorption, scattering, and emission. Although a sufficient number of measurements are required to precisely estimate the quantum state, and the initial encoding of the quantum state remains a challenging problem, our quantum algorithm exponentially accelerates radiative -transfer calculations compared to classical algorithms. In order to verify the quantum algorithm, we perform quantum circuit simulation using IBM Qiskit Aer and find good agreement between our numerical result and the exact solution. The algorithm paves the way for applications, such as fault -tolerant quantum computers for plasma engineering, telecommunications, nuclear -fusion technology, healthcare, and astrophysics.

Keywords:

LATTICE BOLTZMANN MODEL

SOLAR GRANULATION

SIMULATING FLOWS

HEAT-TRANSFER

GAS

HYDRODYNAMICS

SUPERNOVA