Indistinguishability-based direct measurement of the exchange phase of identical quantum particles
The symmetrization postulate in quantum mechanics, leads to the appearance of, an exchange phase dictating the symmetry of identical, particle global states under particle swapping. Many indirect measurements of such a, fundamental phase have been reported so far, while a direct observation has been only recently, carried out for photons. We introduce, a general scheme capable to directly measure, the exchange phase of any type of particles, (bosons, fermions, anyons), exploiting spatial indistinguishability within the operational framework of spatially localized operations, and classical communication. An experimental, implementation has been performed in an all-optical platform, providing a direct measurement of the real bosonic exchange, phase of photons and a proof-of-principle measurement of different simulated exchange phases., Our results confirm the symmetrization tenet and, provide a tool to explore it in various scenarios: with this regard, an experimental implementation in double quantum dots is being designed to achieve the first direct measurement of the fermionic exchange phase.