Generalized quantum subspace expansion method for error mitigation

• Item type: SIG Technical Reports(1)
• 公開日: 2021-10-07
• タイトル: Generalized quantum subspace expansion method for error mitigation
• タイトル / 言語: en
• タイトル: Generalized quantum subspace expansion method for error mitigation
• 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: Department of Applied Physics, University of Tokyo／Theoretical Quantum Physics Laboratory, RIKEN Cluster for Pioneering Research (CPR)
• 著者所属: Research Center for Emerging Computing Technologies, National Institute of Advanced Industrial Science and Technology (AIST)
• 著者所属: Research Center for Emerging Computing Technologies, National Institute of Advanced Industrial Science and Technology (AIST)
• 著者所属: NTT Computer and Data Science Laboratories, NTT Corporation
• 著者所属: NTT Computer and Data Science Laboratories, NTT Corporation／JST, PRESTO
• 著者所属: NTT Computer and Data Science Laboratories, NTT Corporation
• 著者所属(英): en
• 著者所属(英): Department of Applied Physics, University of Tokyo / Theoretical Quantum Physics Laboratory, RIKEN Cluster for Pioneering Research (CPR)
• 著者所属(英): en
• 著者所属(英): Research Center for Emerging Computing Technologies, National Institute of Advanced Industrial Science and Technology (AIST)
• 著者所属(英): en
• 著者所属(英): Research Center for Emerging Computing Technologies, National Institute of Advanced Industrial Science and Technology (AIST)
• 著者所属(英): en
• 著者所属(英): NTT Computer and Data Science Laboratories, NTT Corporation
• 著者所属(英): en
• 著者所属(英): NTT Computer and Data Science Laboratories, NTT Corporation / JST, PRESTO
• 著者所属(英): en
• 著者所属(英): NTT Computer and Data Science Laboratories, NTT Corporation
• 著者名: Nobuyuki, Yoshioka; Hideaki, Hakoshima; Yuichiro, Matsuzaki; Yuuki, Tokunaga; Yasunari, Suzuki; Suguru, Endo
• 著者名(英): Nobuyuki, Yoshioka; Hideaki, Hakoshima; Yuichiro, Matsuzaki; Yuuki, Tokunaga; Yasunari, Suzuki; Suguru, Endo
• 論文抄録 / 内容記述タイプ: Other
• 論文抄録 / 内容記述: The control over the effect of noise is crucial for extracting reliable results from noisy quantum computers. Since current available quantum resources are not fully fault-tolerant, it is essential to develop practical quantum error mitigation (QEM) methods to compensate for unwanted computation errors. Here, we propose a novel error mitigation scheme: the generalized quantum subspace expansion method that can mitigate dominant errors in quantum computers. Exploitation of the substantially extended subspace allows us to efficiently mitigate the noise present in the spectra of a given Hamiltonian in a noise-agnostic way. We found two practical subspaces for practical error mitigation: the subspaces spanned by powers of the noisy state ρm and a set of error-boosted states. We performed numerical simulations for both subspaces so that we verified suppression of errors by orders of magnitude. Out protocol inherits positive aspects of previous error-agnostic QEM techniques while significantly overcoming their drawbacks.
• 論文抄録(英) / 内容記述タイプ: Other
• 論文抄録(英) / 内容記述: The control over the effect of noise is crucial for extracting reliable results from noisy quantum computers. Since current available quantum resources are not fully fault-tolerant, it is essential to develop practical quantum error mitigation (QEM) methods to compensate for unwanted computation errors. Here, we propose a novel error mitigation scheme: the generalized quantum subspace expansion method that can mitigate dominant errors in quantum computers. Exploitation of the substantially extended subspace allows us to efficiently mitigate the noise present in the spectra of a given Hamiltonian in a noise-agnostic way. We found two practical subspaces for practical error mitigation: the subspaces spanned by powers of the noisy state ρm and a set of error-boosted states. We performed numerical simulations for both subspaces so that we verified suppression of errors by orders of magnitude. Out protocol inherits positive aspects of previous error-agnostic QEM techniques while significantly overcoming their drawbacks.
• 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-4, 号 6, p. 1-10, 発行日 2021-10-07
• 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