Optimizing Parameterized Quantum Circuits with Free-Axis Selection

• Item type: SIG Technical Reports(1)
• 公開日: 2021-06-24
• タイトル: Optimizing Parameterized Quantum Circuits with Free-Axis Selection
• タイトル / 言語: en
• タイトル: Optimizing Parameterized Quantum Circuits with Free-Axis Selection
• 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: Quantum Computing Center, Keio University／JST PRESTO
• 著者所属: IBM Quantum, IBM Japan／Quantum Computing Center, Keio University
• 著者所属: Materials Informatics Initiative, RD Technology & Digital Transformation Center, JSR Corporation／Quantum Computing Center, Keio University
• 著者所属: Quantum Computing Center, Keio University／JST PRESTO
• 著者所属: Quantum Computing Center, Keio University
• 著者所属(英): en
• 著者所属(英): Quantum Computing Center, Keio University / JST PRESTO
• 著者所属(英): en
• 著者所属(英): IBM Quantum, IBM Japan / Quantum Computing Center, Keio University
• 著者所属(英): en
• 著者所属(英): Materials Informatics Initiative, RD Technology & Digital Transformation Center, JSR Corporation / Quantum Computing Center, Keio University
• 著者所属(英): en
• 著者所属(英): Quantum Computing Center, Keio University / JST PRESTO
• 著者所属(英): en
• 著者所属(英): Quantum Computing Center, Keio University
• 著者名: Hiroshi, C. Watanabe; Rudy, Raymond; Yu-ya, Ohnishi; Eriko, Kaminishi; Michihiko, Sugawara
• 著者名(英): Hiroshi, C. Watanabe; Rudy, Raymond; Yu-ya, Ohnishi; Eriko, Kaminishi; Michihiko, Sugawara
• 論文抄録 / 内容記述タイプ: Other
• 論文抄録 / 内容記述: We propose a new method to optimize a PQC by continuous parameterization of both the angles and the axes of its single-qubit rotations. The method is based on the observation that when rotational angles are fixed, optimal axes of rotations can be computed by solving a system of linear equations whose coefficients can be determined from the PQC with small computational overhead. The method can be further simplified to select axes freely from continuous parameters with rotational angles fixed to π. We show the simplified free-axis selection method has better expressibility against other structural optimization methods when measured with Kullback-Leibler (KL) divergence. We also demonstrate PQCs with free-axis selection are more effective to search the ground states of Heisenberg models and molecular Hamiltonians. Because free-axis selection allows designing PQCs without specifying their single-qubit rotational axes, it may significantly improve the handiness of PQCs.
• 論文抄録(英) / 内容記述タイプ: Other
• 論文抄録(英) / 内容記述: We propose a new method to optimize a PQC by continuous parameterization of both the angles and the axes of its single-qubit rotations. The method is based on the observation that when rotational angles are fixed, optimal axes of rotations can be computed by solving a system of linear equations whose coefficients can be determined from the PQC with small computational overhead. The method can be further simplified to select axes freely from continuous parameters with rotational angles fixed to π. We show the simplified free-axis selection method has better expressibility against other structural optimization methods when measured with Kullback-Leibler (KL) divergence. We also demonstrate PQCs with free-axis selection are more effective to search the ground states of Heisenberg models and molecular Hamiltonians. Because free-axis selection allows designing PQCs without specifying their single-qubit rotational axes, it may significantly improve the handiness of PQCs.
• 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: 量子ソフトウェア（QS）; 巻 2021-QS-3, 号 11, p. 1-12, 発行日 2021-06-24
• 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