Thursday, June 27, 2013

1306.6321 (George C. Knee et al.)

Weak-value amplification offers no advantage for overcoming technical

George C. Knee, Erik M. Gauger
The combination of a weak quantum measurement with postselection enables the phenomenon of weak-values, where the average displacement of the meter wavefunction may significantly exceed the eigenspectrum of the measured observable. Employing the Fisher Information metric, we argue that the effect offers no metrological advantage due to the necessarily reduced probability of success. We analyze a situation where the detector has only finite resolution and when the measuring device is afflicted by random displacements. Surprisingly, weak-value amplification continues to provide no benefit when these imperfections are introduced.
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