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Generating a 4-photon tetrahedron state: towards simultaneous super-sensitivity to non-commuting rotations

Generating a 4-photon tetrahedron state: towards simultaneous super-sensitivity to non-commuting rotations

A primary goal of quantum metrology is to understand the optimal way to measure multiple incompatible observables. Here, we report on the experimental demonstration and characterisation of a four-photon state, the ā€œtetrahedron stateā€, which is the optimal state for simultaneous estimation of all parameters describing a rotation.