Abstract
``Weak-value amplification,'' an interference effect that was introduced quantum mechanically, but can also be realized using classical electromagnetic waves, uses only a small fraction of the available events to make precise measurements. How can this be? Theorists reveal that weak-value amplification achieves that by funneling all the information into a small fraction of events.
Highlights
There has arisen considerable interest in the use of “weak-value” techniques to improve the accuracy of precision measurement
In optical beam deflection, noise sources include electronics noise, transverse displacement and angular jitter, analog-to-digital discretization noise [15], turbulence, vibration noise of the other optical elements, spectral jitter, etc. In light of this criticism, it is our aim in this work to analyze some of these models and examples using Fisher-information and maximum-likelihood methods in order to understand in precisely what sense they give or fail to give a technical advantage, as well as describe other technical advantages in beam-deflection experiments where the imaginary WVA technique does lead to the optimal Fisher information even in the presence of some types of noise sources mentioned above
We have shown how weak-value-based measurement techniques can give certain technical advantages to precision metrology
Summary
There has arisen considerable interest in the use of “weak-value” techniques to improve the accuracy of precision measurement. In optical beam deflection, noise sources include electronics noise, transverse displacement and angular jitter, analog-to-digital discretization noise [15], turbulence, vibration noise of the other optical elements, spectral jitter, etc In light of this criticism, it is our aim in this work to analyze some of these models and examples using Fisher-information and maximum-likelihood methods in order to understand in precisely what sense they give or fail to give a technical advantage, as well as describe other technical advantages in beam-deflection (and derivative) experiments where the imaginary WVA technique does lead to the optimal Fisher information even in the presence of some types of noise sources mentioned above.
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