Witnessing genuine multi-photon indistinguishability
Daniel J. Brod, Ernesto F. Galv\~ao, Niko Viggianiello, Fulvio, Flamini, Nicol\`o Spagnolo, Fabio Sciarrino

TL;DR
This paper introduces a practical method using linear interferometers to unambiguously witness genuine multi-photon indistinguishability, providing a new tool for quantum source assessment and fundamental studies.
Contribution
It presents a novel witness for multi-photon indistinguishability and experimentally demonstrates its application to 3-photon states, advancing quantum photonics.
Findings
Successfully bounded 3-photon indistinguishability in experiments
Developed a set-theoretic intuitive model for multi-boson indistinguishability
Proposed a practical tool for assessing quantum sources
Abstract
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.
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