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  1. 研究報告
  2. 量子ソフトウェア(QS)
  3. 2021
  4. 2021-QS-003

Classical Shadow with Decision Diagrams

https://ipsj.ixsq.nii.ac.jp/records/211788
https://ipsj.ixsq.nii.ac.jp/records/211788
7af3dc34-b893-4c7e-905b-12b35f57d3b1
名前 / ファイル ライセンス アクション
IPSJ-QS21003013.pdf IPSJ-QS21003013.pdf (1.1 MB)
Copyright (c) 2021 by the Information Processing Society of Japan
オープンアクセス
Item type SIG Technical Reports(1)
公開日 2021-06-24
タイトル
タイトル Classical Shadow with Decision Diagrams
タイトル
言語 en
タイトル Classical Shadow with Decision Diagrams
言語
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
IBM Quantum, IBM Japan/Quantum Computing Center, Keio University
著者所属
Johannes Kepler University Linz
著者所属
IBM Quantum, IBM T.J. Watson Research Center
著者所属
IBM Quantum, IBM T.J. Watson Research Center
著者所属
Johannes Kepler University Linz/Software Competence Center Hagenberg (SCCH) GmbH
著者所属(英)
en
IBM Quantum, IBM Japan / Quantum Computing Center, Keio University
著者所属(英)
en
Johannes Kepler University Linz
著者所属(英)
en
IBM Quantum, IBM T.J. Watson Research Center
著者所属(英)
en
IBM Quantum, IBM T.J. Watson Research Center
著者所属(英)
en
Johannes Kepler University Linz / Software Competence Center Hagenberg (SCCH) GmbH
著者名 Rudy, Raymond

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Rudy, Raymond

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Stefan, Hillmich

× Stefan, Hillmich

Stefan, Hillmich

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Charles, Hadfield

× Charles, Hadfield

Charles, Hadfield

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Antonio, Mezzacapo

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Antonio, Mezzacapo

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Robert, Wille

× Robert, Wille

Robert, Wille

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著者名(英) Rudy, Raymond

× Rudy, Raymond

en Rudy, Raymond

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Stefan, Hillmich

× Stefan, Hillmich

en Stefan, Hillmich

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Charles, Hadfield

× Charles, Hadfield

en Charles, Hadfield

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Antonio, Mezzacapo

× Antonio, Mezzacapo

en Antonio, Mezzacapo

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Robert, Wille

× Robert, Wille

en Robert, Wille

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論文抄録
内容記述タイプ Other
内容記述 We consider the problem of estimating quantum observables on a collection of qubits, given as a linear combination of Pauli operators, with shallow quantum circuits consisting of single-qubit rotations. We introduce estimators based on classical shadow, which use decision diagrams to sample from probability distributions on measurement bases. This approach generalises previously known uniform and locally-biased classical shadows. The decision diagrams are constructed given target quantum operators and can be optimised considering different strategies. We show numerically that the estimators introduced here can produce more precise estimates on some quantum chemistry Hamiltonians, compared to previously known randomised protocols and Pauli grouping methods. The details are given at [Hillmich et al., arXiv:2105.06932]
論文抄録(英)
内容記述タイプ Other
内容記述 We consider the problem of estimating quantum observables on a collection of qubits, given as a linear combination of Pauli operators, with shallow quantum circuits consisting of single-qubit rotations. We introduce estimators based on classical shadow, which use decision diagrams to sample from probability distributions on measurement bases. This approach generalises previously known uniform and locally-biased classical shadows. The decision diagrams are constructed given target quantum operators and can be optimised considering different strategies. We show numerically that the estimators introduced here can produce more precise estimates on some quantum chemistry Hamiltonians, compared to previously known randomised protocols and Pauli grouping methods. The details are given at [Hillmich et al., arXiv:2105.06932]
書誌レコードID
収録物識別子タイプ NCID
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 13, p. 1-8, 発行日 2021-06-24
ISSN
収録物識別子タイプ 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
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