Certified Quantum Randomness with Coherent Detection

• Vitor L. Sena SENAI CIMATEC
• Moisés Alves SENAI CIMATEC / UFRN
• Santiago Zamora UFRN
• Tailan S. Sarubi UFRN
• A. de Oliveira Junior Technical University of Denmark
• Alexandre B. Tacla SENAI CIMATEC

DOI: https://doi.org/10.5753/wqunets.2026.23540

Resumo

In this work, we analyze a semi-device-independent technique for quantum random number generation (QRNG) certification based on coherent detection. We consider a prepare-and-measure scenario, in which pure quantum states are prepared and sequentially measured using homodyne detection, a continuous-variable measurement, and evaluate dimension witness (DW) inequalities to certify quantum randomness. We extend the DW framework to this continuous-variable setting through phase-space binning optimization and demonstrate that symmetric binning maximizes DW violation across single-, double-, and triple-partition configurations. We additionally explore heterodyne (double homodyne) detection as a complementary coherent measurement; no witness violation is observed under this scheme for several discretization schemes. This work provides additional analysis to the study of certifiable QRNG based on homodyne detection, a mature and widely available technology with natural applicability in secure network communications.

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