Optimal estimation of a physical observable's expectation value for pure states

Material type: 文書・図像類

Author: HAYASHI, Aほか

Publisher: American Physical Society

Publication date: 2006-06

Material Format: Digital

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Note (General)：: We study the optimal way to estimate the quantum expectation value of a physical observable when a finite number of copies of a quantum pure state are...

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Material Type: 文書・図像類
Title: Optimal estimation of a physical observable's expectation value for pure states
Author/Editor: HAYASHI, A
HORIBE, M
HASHIMOTO, T
Author Heading: HAYASHI, A
HORIBE, M
HASHIMOTO, T
Publication, Distribution, etc.: American Physical Society
Publication Date: 2006-06
Publication Date (W3CDTF): 2006-06
Periodical title: Physical Review A
No. or year of volume/issue: 73 6
Volume: 73
Issue: 6
Pages: 62322-
ISSN (Periodical Title): ISSN : 1050-2947
Text Language Code: eng
Target Audience: 一般
Note (General): We study the optimal way to estimate the quantum expectation value of a physical observable when a finite number of copies of a quantum pure state are presented. The optimal estimation is determined by minimizing the squared error averaged over all pure states distributed in a unitary invariant way. We find that the optimal estimation is "biased" though the optimal measurement is given by successive projective measurements of the observable. The optimal estimate is not the sample average of observed data, but the arithmetic average of observed and "default nonobserved" data, with the latter consisting of all eigenvalues of the observable.
Access Restrictions: 限定公開
Rights (production): 〓2006 The American Physical Society
Related Material (DOI): 10.1103/PhysRevA.73.062322
Data Provider (Database): 国立情報学研究所 : 学術機関リポジトリデータベース（IRDB）（機関リポジトリ）
https://irdb.nii.ac.jp
Original Data Provider (Database): 福井大学 : 福井大学学術機関リポジトリ