Limits of multimode bunching for boson sampling validation: anomalous bunching induced by time delays

Fuente: arXiv
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Hauptverfasser: Pioge, Léo, Novo, Leonardo, Cerf, Nicolas J.
Format: Preprint
Veröffentlicht: 2026
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author Pioge, Léo
Novo, Leonardo
Cerf, Nicolas J.
author_facet Pioge, Léo
Novo, Leonardo
Cerf, Nicolas J.
contents The multimode bunching probability is expected to provide a useful criterion for validating boson sampling experiments. Its applicability, however, is challenged by the existence of anomalous bunching, namely paradoxical situations in which partially distinguishable particles exhibit a higher bunching probability in two or more modes than perfectly indistinguishable ones. Using multimode bunching as a reliable criterion of genuine indistinguishability, therefore, requires a clear identification of the interferometric configurations in which anomalous bunching can or cannot occur. In particular, since uncontrolled small time delays between single-photon pulses constitute a common source of mode mismatch in current photonic platforms, it is essential to determine whether the resulting photon distinguishability might lead to anomalous bunching. Here, we first identify a broad class of interferometric configurations in which anomalous bunching is rigorously excluded, thereby establishing regimes where multimode bunching-based validation remains valid. Then, we find that, quite unexpectedly, temporal mode mismatch does not belong to this class. We exhibit a specific interferometric setup in which temporal distinguishability enhances multimode bunching, demonstrating that time delays can induce an anomalous behavior. These results help clarify the conditions under which multimode bunching remains a reliable validation tool.
format Preprint
id arxiv_https___arxiv_org_abs_2601_13792
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Limits of multimode bunching for boson sampling validation: anomalous bunching induced by time delays
Pioge, Léo
Novo, Leonardo
Cerf, Nicolas J.
Quantum Physics
The multimode bunching probability is expected to provide a useful criterion for validating boson sampling experiments. Its applicability, however, is challenged by the existence of anomalous bunching, namely paradoxical situations in which partially distinguishable particles exhibit a higher bunching probability in two or more modes than perfectly indistinguishable ones. Using multimode bunching as a reliable criterion of genuine indistinguishability, therefore, requires a clear identification of the interferometric configurations in which anomalous bunching can or cannot occur. In particular, since uncontrolled small time delays between single-photon pulses constitute a common source of mode mismatch in current photonic platforms, it is essential to determine whether the resulting photon distinguishability might lead to anomalous bunching. Here, we first identify a broad class of interferometric configurations in which anomalous bunching is rigorously excluded, thereby establishing regimes where multimode bunching-based validation remains valid. Then, we find that, quite unexpectedly, temporal mode mismatch does not belong to this class. We exhibit a specific interferometric setup in which temporal distinguishability enhances multimode bunching, demonstrating that time delays can induce an anomalous behavior. These results help clarify the conditions under which multimode bunching remains a reliable validation tool.
title Limits of multimode bunching for boson sampling validation: anomalous bunching induced by time delays
topic Quantum Physics
url https://arxiv.org/abs/2601.13792