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.
Four-Photon (In)Distinguishability Transition
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We demonstrate the conspiration of many-particle interferences of different degree to determine the transmission of four photons of tunable indistinguishability through a four-port beam splitter array. The probability of certain output events depends non-monotonically on the degree of distinguishability, due to distinct multi-particle interference contributions to the transmission signal.
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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.