@techreport{oai:ipsj.ixsq.nii.ac.jp:00240370, author = {五十嵐, 朱夏 and 門脇, 正史 and 川畑, 史郎 and 添田, 彬仁 and Asuka, Igarashi and Tadashi, Kadowaki and Shiro, Kawabata and Akihito, Soeda}, issue = {5}, month = {Oct}, note = {輻射輸送計算は,工学から医療まで幅広い分野でシミュレーションに利用されている.本講演では,格子ボルツマン法を用いた輻射輸送計算の量子アルゴリズムを提案する.このアルゴリズムは,輻射輸送の主要な過程である吸収,散乱,放射をすべて含んでいる.量子状態を正確に見積もるには十分な測定回数が必要だが,この量子アルゴリズムは古典的アルゴリズムに比べて指数関数的な高速化を実現する.さらに,IBM Qiskit を用いたシミュレーションでアルゴリズムの精度を検証する.このアルゴリズムは,プラズマ工学,電気通信,核融合技術,ヘルスケア,宇宙物理学など,輻射に関係する分野で量子コンピュータが活用される可能性を示す., The radiative 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 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, 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.}, title = {輻射輸送計算のための量子アルゴリズム}, year = {2024} }