Digital Coherent-State QRNG Achieves 7.999998 Bits/byte Via System-Jitter Entropy and Random Permutation

The pursuit of truly random numbers underpins many aspects of modern technology, from cryptography to scientific simulation, and researchers continually seek improved methods for their generation. Randy Kuang from Quantropi Inc, alongside colleagues, now demonstrates a fully digital approach that replicates the statistical characteristics of quantum random number generation, without requiring any quantum hardware. This team achieves this by cleverly harnessing and transforming system timing jitter, the natural variations in a computer’s internal clock, through a process of random permutation. The resulting numbers exhibit exceptionally high levels of randomness, approaching the theoretical limits for cryptographic applications and exceeding established benchmarks at scale, while also offering inherent resistance to side-channel attacks, representing a significant advance in the field of secure random number generation. The approach transforms computational timing variations from hardware and operating system sources into permutations, effectively mimicking the randomness inherent in quantum phenomena, and generates random numbers without requiring specialised quantum hardware. The system extracts a high degree of entropy from the jitter, and statistical tests confirm the generated bitstream exhibits excellent randomness properties, offering a cost-effective and accessible solution for secure communication, scientific simulations, and other applications requiring unpredictable number sequences. Ion dynamics generate Poisson-distributed numbers, accurately reproducing the photon statistics of optical coherent states. The theoretical foundation rests upon the Uniform Convergence Theorem, which provides exponential convergence to uniformity under modular projection with rigorous error bounds. Extensive experimental validation across multiple parameter regimes and sample sizes up to 10 8 bytes demonstrates exceptional performance, achieving Shannon entropy approaching 7. 999998 bits/byte and min-entropy exceeding 7. 99 bits/byte, thereby outperforming theoretical bounds at scale. The architecture inherently resists side-channel attacks through compound timing distributions and adaptive permutation. Classical Simulation of Quantum Randomness Achieved This research demonstrates that the statistical characteristics of coherent-state quantum random number generators can be faithfully replicated using entirely classical computational systems. Researchers achieved this by leveraging system timing jitter and random permutation processes to emulate quantum behaviour, effectively reproducing the Poisson-distributed statistics typically associated with optical coherent states without requiring any specialised quantum hardware. The core innovation lies in utilising high-resolution system timing variations both as a source of entropy and as a driver for unpredictable permutation, transforming deterministic computations into genuinely random sequences. The resulting digital coherent QRNG architecture delivers high-quality randomness, consistently exceeding 7. 9 bits per byte in min-entropy across various parameter settings. Crucially, the method incorporates modular projection, underpinned by the Uniform Convergence Theorem, to efficiently convert Poisson-distributed outputs into uniform random sequences suitable for cryptographic applications, achieving performance close to theoretical limits. The system also exhibits inherent security advantages, resisting side-channel attacks through variable computation times and adaptive behaviour, while offering unprecedented accessibility, verifiability, and flexibility on conventional computing platforms. Researchers acknowledge that the system’s performance is dependent on system state and operational conditions, but demonstrate consistent high-quality output across diverse computational environments. Future work could focus on further optimising the framework and exploring its application in various security-critical applications where truly random number generation is paramount.

This research establishes a significant advancement in the field, providing a practical and verifiable method for generating high-quality randomness without relying on specialised quantum technologies. 👉 More information 🗞 Digital Coherent-State QRNG Using System-Jitter Entropy via Random Permutation 🧠 ArXiv: https://arxiv.org/abs/2512.11107 Tags: Rohail T. As a quantum scientist exploring the frontiers of physics and technology. My work focuses on uncovering how quantum mechanics, computing, and emerging technologies are transforming our understanding of reality. I share research-driven insights that make complex ideas in quantum science clear, engaging, and relevant to the modern world. Latest Posts by Rohail T.: Electric Charge Running in Dimensionless Gravity Theory Reveals Separation of UV and Soft Logarithms at One Loop December 15, 2025 Attention-aware Resource Allocation Framework Enables Scalable VR-Cloud Gaming with Low Latency in 6G Networks December 15, 2025 Quantum Gravity Models Demonstrate Emergent Inflation and Dynamical Dark Energy Transitions December 15, 2025