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This paper addresses the fundamental interpretation of photon-number correlations in Hong-Ou-Mandel interference, resolving discrepancies between discrete and continuous-variable descriptions of parametric down-conversion sources. By employing a hybrid approach with photon-number resolved detection, it demonstrates that the resulting state is separable in the photon number picture, offering critical insights for characterizing squeezed light sources in Gaussian boson-sampling applications.
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Erasing Photon-Number Correlations through Hong-Ou-Mandel Interference

arXiv2 min read

arXiv:2502.06570v3 Announce Type: replace Abstract: A parametric down-conversion source interfering on a beam splitter can be described as both a source of entangled N00N-states or a source of independent, and thus uncorrelated squeezers. The disparity between these outcomes can be attributed to whether one takes a standard discrete- or continuous-variable approach to describing the system. More precisely, this difference in output is due to the types of measurements involved and the way in which the data is processed, as both setups are identical, clearly identical states are produced. Here we take a hybrid approach to describe the state, which is generated by parametric down-conversion as input state, and investigate the measurements of the output ports of the interferometer using photon number resolved detection. We show that the output of this interference is separable in the photon number picture and demonstrate the worth of photon-number correlation measures for the characterization of squeezed light sources for hybrid applications like Gaussian boson-sampling.

Abstract:A parametric down-conversion source interfering on a beam splitter can be described as both a source of entangled N00N-states or a source of independent, and thus uncorrelated squeezers. The disparity between these outcomes can be attributed to whether one takes a standard discrete- or continuous-variable approach to describing the system. More precisely, this difference in output is due to the types of measurements involved and the way in which the data is processed, as both setups are identical, clearly identical states are produced. Here we take a hybrid approach to describe the state, which is generated by parametric down-conversion as input state, and investigate the measurements of the output ports of the interferometer using photon number resolved detection. We show that the output of this interference is separable in the photon number picture and demonstrate the worth of photon-number correlation measures for the characterization of squeezed light sources for hybrid applications like Gaussian boson-sampling.

arXiv:2502.06570 [quant-ph]

(or arXiv:2502.06570v3 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2502.06570 Focus to learn more arXiv-issued DOI via DataCite

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Full text under the publisher's open licence · 243 words

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