Visibility bound caused by a distinguishable noise particle
Miroslav Gavenda, Lucie Celechovska, Jan Soubusta, Miloslav Dusek and, Radim Filip

TL;DR
This paper studies how the distinguishability of a noise photon affects the interference visibility of a signal photon, revealing a quantitative relationship and experimentally confirming the degradation effect.
Contribution
It introduces a quantitative analysis of how noise photon distinguishability impacts interference visibility, supported by experimental validation.
Findings
Visibility drops to 1/√2 when noise is distinguishable but technically indistinguishable
Maximum visibility reaches 1 for completely indistinguishable photons
Experimental results confirm the theoretical relationship between distinguishability and interference
Abstract
We investigate how distinguishability of a "noise" particle degrades interference of the "signal" particle. The signal, represented by an equatorial state of a photonic qubit, is mixed with noise, represented by another photonic qubit, via linear coupling on the beam splitter. We report on the degradation of the "signal" photon interference depending on the degree of indistinguishability between "signal" and "noise" photon. When the photons are principally completely distinguishable but technically indistinguishable the visibility drops to the value 1/sqrt(2). As the photons become more indistinguishable the maximal visibility increases and reaches the unit value for completely indistinguishable photons. We have examined this effect experimentally using setup with fiber optics two-photon Mach-Zehnder interferometer.
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