Experimental saturation of the quantum Cramer-Rao bound for transmission measurements

Presenting Author: Tim Woodworth, University of Oklahoma
Contributing Author(s): Carla Hermann-Avigliano, Kam Wai Clifford Chan, Alberto M. Marino,

The minimum possible uncertainty when estimating a parameter, in this case transmission, through measurements with a given state is bounded by the quantum Cram\'er-Rao bound (QCRB). This bound is independent of the measurement technique and as result can be used to quantify how close a measurement is to the optimal one for a given system, as an optimal measurement will saturate the QCRB. In particular, the ability to perform measurements of the transmission through an optical element at the QCRB can lead to enhancements in the calibration of optimal states for interferometers, the characterization of high efficiency photodetectors, or the sensitivity of sensing devices based on transmission, such as plasmonic sensors or ellipsometry. Here, we shown experimentally that the two-mode squeezed state (TMSS) QCRB for transmission can be saturated using unbalanced intensity difference measurements and that the classical coherent state QCRB can be saturated with single beam intensity measurements. We also show theoretically that as the level of intensity difference squeezing increases the QCRB for transmission for a TMSS approaches the one for a Fock state, which has been shown to be an optimal state for transmission measurements.

(Session 5 : Sunday from 5:00pm - 7:00pm)


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