Abstract
The precision of a quantum sensor can overcome its classical counterpart when
its constituants are entangled. In gaussian squeezed states, quantum
correlations lead to a reduction of the quantum projection noise below the shot
noise limit. However, the most sensitive states involve complex non-gaussian
quantum fluctuations, making the required measurement protocol challenging.
Here we measure the sensitivity of non-classical states of the electronic spin
$J=8$ of dysprosium atoms, created using light-induced non-linear spin
coupling. Magnetic sublevel resolution enables us to reach the optimal
sensitivity of non-gaussian (oversqueezed) states, well above the capability of
squeezed states and about half the Heisenberg limit.
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