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arXiv · 2509.02058

Unified boson sampling

Luca Bianchi·Carlo Marconi·Laura Ares·Davide Bacco·Jan Sperling
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Abstract

Boson sampling is a key candidate for demonstrating quantum advantage, and has already yielded significant advances in quantum simulation, machine learning, and graph theory. In this work, a unification and extension of distinct forms of boson sampling is developed. The devised protocol merges discrete-variable scattershot boson sampling with continuous-variable Gaussian boson sampling. Thereby, it is rendered possible to harness the complexity of more interesting states, such as squeezed photons, in advanced sampling protocols. A generating function formalism is developed for the joint description of multiphoton and multimode light undergoing Gaussian transformations. The resulting analytical tools enable one to explore interfaces of different photonic quantum-information-processing platforms. A numerical simulation of unified sampling is carried out, benchmarking its performance, complexity, and scalability. Entanglement is characterized to exemplify the generation of quantum correlations from the nonlinear interactions of a unified sampler.

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Luca Bianchi, Carlo Marconi, Laura Ares, Davide Bacco, Jan Sperling. 2025-09-02. Unified boson sampling. https://doi.org/10.1103/8hy1-m5gg

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