2026-03-07T03:49:10Z https://ipsj.ixsq.nii.ac.jp/oai

oai:ipsj.ixsq.nii.ac.jp:00211778 2025-01-19T17:40:51Z 1164:10193:10565:10617

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 Quantum algorithm for calculation of transition amplitudes in hybrid tensor networks 菅野, 志優 遠藤, 傑 鈴木, 泰成 徳永, 裕己 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. 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. 情報処理学会 2021-06-24 eng technical report https://ipsj.ixsq.nii.ac.jp/records/211778 2435-6492 AA12894105 量子ソフトウェア（QS） 2021-QS-3 3 1 9 https://ipsj.ixsq.nii.ac.jp/record/211778/files/IPSJ-QS21003003.pdf application/pdf 1.2 MB 2023-06-24