Phase-noise induced many-body interference suppression in Gaussian Boson Sampling
Abstract
We develop a Heisenberg-picture tensor-network formulation of collision-free Gaussian Boson Sampling, providing a direct Fock-space expression for output probabilities in terms of experimentally accessible quantities. The resulting representation naturally recovers the Hafnian structure while revealing the decomposition of GBS probability into a phase-insensitive contribution and a hierarchy of interference sectors associated with pairs of perfect matchings. As an application, we investigate phase diffusion and show how it progressively suppresses many-body interference, driving the output statistics toward a classical dimer-model regime. Our results establish a transparent framework for connecting experimentally characterized phase fluctuations with the loss of quantum interference in photonic quantum sampling experiments.
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BibTeX
@misc{cilluffo2026phasenoise,
title = {{Phase-noise induced many-body interference suppression in Gaussian Boson Sampling}},
author = {Dario Cilluffo and Matthias Kost and Martin B. Plenio},
howpublished = {arXiv},
year = {2026},
month = aug,
doi = {10.48550/arxiv.2608.31089},
eprint = {2608.31089},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2608.31089},
}
RIS
TY - UNPB
TI - Phase-noise induced many-body interference suppression in Gaussian Boson Sampling
AU - Dario Cilluffo
AU - Matthias Kost
AU - Martin B. Plenio
PY - 2026
DA - 2026/08/31
PB - arXiv
DO - 10.48550/arxiv.2608.31089
UR - https://arxiv.org/abs/2608.31089
AB - We develop a Heisenberg-picture tensor-network formulation of collision-free Gaussian Boson Sampling, providing a direct Fock-space expression for output probabilities in terms of experimentally accessible quantities. The resulting representation naturally recovers the Hafnian structure while revealing the decomposition of GBS probability into a phase-insensitive contribution and a hierarchy of interference sectors associated with pairs of perfect matchings. As an application, we investigate phase diffusion and show how it progressively suppresses many-body interference, driving the output statistics toward a classical dimer-model regime. Our results establish a transparent framework for connecting experimentally characterized phase fluctuations with the loss of quantum interference in photonic quantum sampling experiments.
ER -