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Quantum limits of measurements induced by multiplicative conservation laws: Extension of the Wigner-Araki-Yanase theorem
http://hdl.handle.net/2237/11338
http://hdl.handle.net/2237/11338e3bd7a22-71b8-402d-bf67-ff4fcc99c89d
名前 / ファイル | ライセンス | アクション |
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Item type | 学術雑誌論文 / Journal Article(1) | |||||
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公開日 | 2009-03-19 | |||||
タイトル | ||||||
タイトル | Quantum limits of measurements induced by multiplicative conservation laws: Extension of the Wigner-Araki-Yanase theorem | |||||
言語 | en | |||||
著者 |
Kimura, Gen
× Kimura, Gen× Meister, Bernhard K.× Ozawa, Masanao |
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アクセス権 | ||||||
アクセス権 | open access | |||||
アクセス権URI | http://purl.org/coar/access_right/c_abf2 | |||||
権利 | ||||||
言語 | en | |||||
権利情報 | American Physical Society, All rights reserved. | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | conservation laws | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | measurement theory | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | noise | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | quantum theory | |||||
抄録 | ||||||
内容記述 | The Wigner-Araki-Yanase (WAY) theorem shows that additive conservation laws limit the accuracy of measurements. Recently, various quantitative expressions have been found for quantum limits on measurements induced by additive conservation laws, and have been applied to the study of fundamental limits on quantum-information processing. Here, we investigate generalizations of the WAY theorem to multiplicative conservation laws. The WAY theorem is extended to show that an observable not commuting with the modulus of, or equivalently the square of, a multiplicatively conserved quantity cannot be precisely measured. We also obtain a lower bound for the mean-square noise of a measurement in the presence of a multiplicatively conserved quantity. To overcome this noise it is necessary to make large the coefficient of variation (the so-called relative fluctuation), instead of the variance as is the case for additive conservation laws, of the conserved quantity in the apparatus. | |||||
言語 | en | |||||
内容記述タイプ | Abstract | |||||
出版者 | ||||||
言語 | en | |||||
出版者 | American Physical Society | |||||
言語 | ||||||
言語 | eng | |||||
資源タイプ | ||||||
資源タイプresource | http://purl.org/coar/resource_type/c_6501 | |||||
タイプ | journal article | |||||
出版タイプ | ||||||
出版タイプ | VoR | |||||
出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |||||
DOI | ||||||
関連タイプ | isVersionOf | |||||
識別子タイプ | DOI | |||||
関連識別子 | https://doi.org/10.1103/PhysRevA.78.032106 | |||||
ISSN | ||||||
収録物識別子タイプ | PISSN | |||||
収録物識別子 | 1050-2947 | |||||
書誌情報 |
en : PHYSICAL REVIEW A 巻 78, 号 3, p. 032106-032106, 発行日 2008-09 |
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フォーマット | ||||||
application/pdf | ||||||
著者版フラグ | ||||||
値 | publisher | |||||
URI | ||||||
識別子 | http://hdl.handle.net/2237/11338 | |||||
識別子タイプ | HDL |