A multi-photon state behaves like a stochastic mixture of distinguishability patterns exactly when its interference parameters depend only on permutation cycle structure, enabling a compact partition representation and error mitigation.
Experimental quantification of genuine four-photon indistinguishability
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abstract
Photon indistinguishability plays a fundamental role in information processing, with applications such as linear-optical quantum computation and metrology. It is then necessary to develop appropriate tools to quantify the amount of this resource in a multiparticle scenario. Here we report a four-photon experiment in a linear-optical interferometer designed to simultaneously estimate the degree of indistinguishability between three pairs of photons. The interferometer design dispenses with the need of heralding for parametric down-conversion sources, resulting in an efficient and reliable optical scheme. We then use a recently proposed theoretical framework to quantify genuine four-photon indistinguishability, as well as to obtain bounds on three unmeasured two-photon overlaps. Our findings are in high agreement with the theory, and represent a new resource-effective technique for the characterization of multiphoton interference.
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Incoherent behavior of partially distinguishable photons
A multi-photon state behaves like a stochastic mixture of distinguishability patterns exactly when its interference parameters depend only on permutation cycle structure, enabling a compact partition representation and error mitigation.