Non-Gaussian Quantum Optical Approach for True Random Number Generation Using Cubic-Phase Nonlinearity

True random numbers are essential for secure communication and quantum information technologies. We present a photonic Quantum Random Number Generator (QRNG) that utilises non-Gaussian operations to amplify intrinsic quantum randomness. The scheme uses a two-mode optical circuit initialized in a single-photon state incorporates phase rotation, a cubic phase gate, squeezing and a balanced beam splitter to create strong non-classical correlations. Photon-number measurements generate unbiased binary outcomes through raw bit extraction. The random number samples that pass standard statistical NIST SP800 22, 90B, Dieharder, ENT, AIS-31 test, hamming distance confirms the robustness and reliability of the proposed approach.