Quantum limits of measurements induced by multiplicative conservation laws: Extension of the Wigner-Araki-Yanase theorem

Gen Kimura, Bernhard K. Meister, Masanao Ozawa

研究成果: Article査読

5 被引用数 (Scopus)

抄録

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.

本文言語English
論文番号032106
ジャーナルPhysical Review A - Atomic, Molecular, and Optical Physics
78
3
DOI
出版ステータスPublished - 2008 9 8
外部発表はい

ASJC Scopus subject areas

  • 原子分子物理学および光学

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