  The radiation transfer equation is widely used for simulating such as 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 opens new
application of fault-tolerant quantum computers for plasma engineering,
telecommunications, nuclear fusion technology, healthcare and astrophysics.
