| Item type |
SIG Technical Reports(1) |
| 公開日 |
2021-06-24 |
| タイトル |
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タイトル |
ハイブリッドテンソルネットワークにおける遷移振幅計算のための量子アルゴリズム |
| タイトル |
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言語 |
en |
|
タイトル |
Quantum algorithm for calculation of transition amplitudes in hybrid tensor networks |
| 言語 |
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言語 |
eng |
| 資源タイプ |
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資源タイプ識別子 |
http://purl.org/coar/resource_type/c_18gh |
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資源タイプ |
technical report |
| 著者所属 |
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東京工業大学物質理工学院 |
| 著者所属 |
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NTTセキュアプラットフォーム研究所 |
| 著者所属 |
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NTTセキュアプラットフォーム研究所／JSTさきがけ |
| 著者所属 |
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NTTセキュアプラットフォーム研究所 |
| 著者所属(英) |
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en |
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Department of Materials Science and Engineering, Tokyo Institute of Technology |
| 著者所属(英) |
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en |
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NTT Secure Platform Laboratories, NTT Corporation |
| 著者所属(英) |
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en |
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NTT Secure Platform Laboratories, NTT Corporation / JST, PRESTO |
| 著者所属(英) |
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en |
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NTT Secure Platform Laboratories, NTT Corporation |
| 著者名 |
菅野, 志優
遠藤, 傑
鈴木, 泰成
徳永, 裕己
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| 論文抄録 |
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内容記述タイプ |
Other |
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内容記述 |
The hybrid tensor network approach allows us to perform calculations on systems larger than the scale of a quantum computer. However, when calculating transition amplitudes, there is a problem that the number of terms to be measured increases exponentially with that of contracted operators. The problem is caused by the fact that the contracted operators are represented as non-Hermitian operators. In this study, we propose a method for the hybrid tensor network calculation that contracts non-Hermitian operators without the exponential increase of the number of terms. In the proposed method, calculations of transition amplitudes are performed by combining the singular value decomposition of the contracted non-Hermitian operators with the Hadamard test. The method significantly extends the applicability of the hybrid tensor network approach. |
| 論文抄録(英) |
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内容記述タイプ |
Other |
|
内容記述 |
The hybrid tensor network approach allows us to perform calculations on systems larger than the scale of a quantum computer. However, when calculating transition amplitudes, there is a problem that the number of terms to be measured increases exponentially with that of contracted operators. The problem is caused by the fact that the contracted operators are represented as non-Hermitian operators. In this study, we propose a method for the hybrid tensor network calculation that contracts non-Hermitian operators without the exponential increase of the number of terms. In the proposed method, calculations of transition amplitudes are performed by combining the singular value decomposition of the contracted non-Hermitian operators with the Hadamard test. The method significantly extends the applicability of the hybrid tensor network approach. |
| 書誌レコードID |
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収録物識別子タイプ |
NCID |
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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 3,
p. 1-9,
発行日 2021-06-24
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| ISSN |
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収録物識別子タイプ |
ISSN |
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収録物識別子 |
2435-6492 |
| Notice |
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SIG Technical Reports are nonrefereed and hence may later appear in any journals, conferences, symposia, etc. |
| 出版者 |
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言語 |
ja |
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出版者 |
情報処理学会 |
IPSJ-QS21003003.pdf (1.2 MB)
