Scalable quantum circuits for Hamiltonian simulation of classical conservative systems

• Item type: SIG Technical Reports(1)
• 公開日: 2024-06-20
• タイトル: Scalable quantum circuits for Hamiltonian simulation of classical conservative systems
• タイトル / 言語: en
• タイトル: Scalable quantum circuits for Hamiltonian simulation of classical conservative systems
• 言語: eng
• 資源タイプ / 資源タイプ識別子: http://purl.org/coar/resource_type/c_18gh
• 資源タイプ: technical report
• 著者所属: Toyota Central R&D Labs., Inc.／Quantum Computing Center, Keio University
• 著者所属: Toyota Central R&D Labs., Inc.／Quantum Computing Center, Keio University
• 著者所属: IBM Quantum, IBM Research - Tokyo
• 著者所属: IBM Quantum, IBM Research - Tokyo／Quantum Computing Center, Keio University
• 著者所属: Quantum Computing Center, Keio University／Department of Applied Physics and Physico-Informatics, Keio University
• 著者所属(英): en
• 著者所属(英): Toyota Central R&D Labs., Inc. / Quantum Computing Center, Keio University
• 著者所属(英): en
• 著者所属(英): Toyota Central R&D Labs., Inc. / Quantum Computing Center, Keio University
• 著者所属(英): en
• 著者所属(英): IBM Quantum, IBM Research - Tokyo
• 著者所属(英): en
• 著者所属(英): IBM Quantum, IBM Research - Tokyo / Quantum Computing Center, Keio University
• 著者所属(英): en
• 著者所属(英): Quantum Computing Center, Keio University / Department of Applied Physics and Physico-Informatics, Keio University
• 著者名: Yuki, Sato; Ruho, Kondo; Ikko, Hamamura; Tamiya, Onodera; Naoki, Yamamoto
• 著者名(英): Yuki, Sato; Ruho, Kondo; Ikko, Hamamura; Tamiya, Onodera; Naoki, Yamamoto
• 論文抄録 / 内容記述タイプ: Other
• 論文抄録 / 内容記述: This paper addresses the challenge of solving partial differential equations (PDEs) for large-scale classical conservative systems, a fundamental task in advancing engineering applications. Quantum computing, particularly through Hamiltonian simulation, has the potential for providing a promising solution to achieve these computations within feasible timescales. Previous efforts in Hamiltonian simulation have hinted at potential speedups but lacked clarity in implementation details. In our work, we contribute a detailed scheme for the explicit implementation of quantum circuits that simulate classical conservative systems. We focus on the construction of quantum gates that represent the time evolution by differential operators discretized by the finite difference method. Our analysis shows that the space and time complexity of our approach is exponentially lower than that of conventional classical algorithms. We also provide numerical experiments and a real-device implementation for simulating the wave equation.
• 論文抄録(英) / 内容記述タイプ: Other
• 論文抄録(英) / 内容記述: This paper addresses the challenge of solving partial differential equations (PDEs) for large-scale classical conservative systems, a fundamental task in advancing engineering applications. Quantum computing, particularly through Hamiltonian simulation, has the potential for providing a promising solution to achieve these computations within feasible timescales. Previous efforts in Hamiltonian simulation have hinted at potential speedups but lacked clarity in implementation details. In our work, we contribute a detailed scheme for the explicit implementation of quantum circuits that simulate classical conservative systems. We focus on the construction of quantum gates that represent the time evolution by differential operators discretized by the finite difference method. Our analysis shows that the space and time complexity of our approach is exponentially lower than that of conventional classical algorithms. We also provide numerical experiments and a real-device implementation for simulating the wave equation.
• 書誌レコードID / 収録物識別子タイプ: NCID
• 書誌レコードID / 収録物識別子: AA12894105
• 書誌情報: 研究報告量子ソフトウェア（QS）; 巻 2024-QS-12, 号 11, p. 1-7, 発行日 2024-06-20
• ISSN / 収録物識別子タイプ: ISSN
• ISSN / 収録物識別子: 2435-6492
• Notice: SIG Technical Reports are nonrefereed and hence may later appear in any journals, conferences, symposia, etc.
• 出版者 / 言語: ja
• 出版者: 情報処理学会