Phase-noise induced many-body interference suppression in Gaussian Boson Sampling

• URL: http://arxiv.org/abs/2608.31089v1
• Date: Mon, 31 Aug 2026 17:00:00 GMT
• Title: Phase-noise induced many-body interference suppression in Gaussian Boson Sampling
• Abstract summary: We develop a direct Fock-space expression for output probabilities in terms of experimentally accessible quantities.<n>As an application, we investigate phase diffusion and show how it progressively suppresses many-body interference.<n>Our results establish a transparent framework for connecting experimentally characterized phase fluctuations with the loss of quantum interference in photonic quantum sampling experiments.
• Score: 0.38233569758620045
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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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