Sub Shot-Noise interferometric phase sensitivity with Beryllium ions Schroedinger Cat States

Abstract

Interferometry with NOON quantum states can provide unbiased phase estimation with a sensitivity scaling as $\Delta \theta \sim 1/N_T$ given a prior knowledge that the true phase shift $\theta$ lies in the interval $-\pi \le \theta \le \pi$. The protocol requires a total of $N_T=2^p-1$ particles (unequally) distributed among $p$ independent measurements and overcomes basic difficulties present in previously proposed approaches. We demonstrate the possibility to obtain a phase sensitivity beating the classical shot-noise limit using published probabilities retrieved experimentally for the creation of Schrödinger cat quantum states containing up to N=6 beryllium ions.

6 Pages, 4 Figures

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