Bosonic interference is a fundamental physical phenomenon, and it is believed to lie at the heart of quantum computational advantage. It is thus necessary to develop practical tools to witness its presence, both for a reliable assessment of a quantum source and for fundamental investigations. Here we describe how linear interferometers can be used to unambiguously witness genuine n-boson indistinguishability. The amount of violation of the proposed witnesses bounds the degree of multi-boson indistinguishability, for which we also provide a novel intuitive model using set theory. We experimentally implement this test to bound the degree of 3-photon indistinguishability in states we prepare using parametric down-conversion. Our approach results in a convenient tool for practical photonic applications, and may inspire further fundamental advances based on the operational framework we adopt.
@article{arxiv.1804.01334,
title = {Witnessing genuine multi-photon indistinguishability},
author = {Daniel J. Brod and Ernesto F. Galvão and Niko Viggianiello and Fulvio Flamini and Nicolò Spagnolo and Fabio Sciarrino},
journal= {arXiv preprint arXiv:1804.01334},
year = {2019}
}