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Optimal Measuring Apparatus
Abstract
An upper limit for the accuracy of the measurement of a simple quantity which does not commute with a conserved quantity is obtained in terms of the "size" of the apparatus. The "size" of the apparatus is defined as the mean square value ${\ensuremath{\hbar}}^{2}{M}^{2}$ of the conserved quantity for the apparatus which is, in the example chosen, the $z$ component of the angular momentum. The measured quantity is the projection of a spin in a perpendicular direction. It is found that the probability of an unsuccessful measurement is at least $\frac{1}{8{M}^{2}}$.
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Citations
Cited by
The Statistical Interpretation of Quantum Mechanics
BALLENTINE, L. E. (1970) · Reviews of Modern Physics · doi:10.1103/revmodphys.42.358 · Cited by 1,033
Evolution without evolution: Dynamics described by stationary observables
Page, D. N., & Wootters, W. K. (1983) · Physical Review D · doi:10.1103/physrevd.27.2885 · Cited by 578
Metadata
- Authors
- Yanase, M. M.
- Venue
- Physical Review
- Publisher
- American Physical Society (APS)
- Published
- 1961-07-15
- Volume
- 123
- Issue
- 2
- Pages
- 666-668
- ISSN
- 0031-899X (ISSN-L)
- OpenAlex
- W1999991959
- Cited by
- 182
- References
- 0
- FWCI
- 0.00
- Type
- journal article
- Language
- en
- Open access
- closed
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- Yanase, M. M. (1961). Optimal Measuring Apparatus. Physical Review. https://doi.org/10.1103/physrev.123.666
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
