Entanglement between quantum objects can be used to enhance the sensitivity of measurements. We demonstrate this
effect by using entangled multi-photon states to go beyond the shot noise limit when observing polarization rotations.
We present strategies to obtain different classes of three and four photon entangled symmetric states from a
single experimental setup. The basic idea originates from the property of the symmetric Dicke state with two
excitations to connect the two inequivalent types of genuine tripartite entanglement. We experimentally confirm
the distinct types of entanglement of the observed states. We further propose an extension of the applied scheme
that allows one to obtain different classes of four-photon entanglement by adding a fifth photon. The requirement
of a single fifth photon is currently a technical challenge, and thus we consider the approach of using a strongly
attenuated weak coherent beam instead.
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