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    Semi-device-independent randomness certification on discretized continuous-variable platforms

    Moisés Alves1,2,3, Vitor L. Sena3, Santiago Zamora1,2, Tailan S. Sarubi1,2, A. de Oliveira Junior4, Alexandre B. Tacla3, and Rafael Chaves2,5

    Phys. Rev. A 113, 042418 – Published 8 April, 2026

    DOI: https://doi.org/10.1103/z3s5-bhb7

    Abstract

    Randomness is fundamental for secure communication and information processing. While continuous-variable optical systems offer an attractive platform for this task, certifying genuine quantum randomness in such setups remains challenging. We present a semi-device-independent scheme for randomness certification tailored to continuous-variable implementations, where the dimension assumption is operationally implemented by restricting state preparations to the two-level Fock subspace. Using standard homodyne and displacement-based measurements, we show that simple optical setups can achieve dimension-witness violations that certify positive min-entropy, even in the presence of realistic losses and misaligned reference frames. These results demonstrate that practical and scalable quantum randomness generation is achievable with minimal experimental complexity on continuous-variable platforms.

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