Algorithmic Randomness Generation via Quantum Tunneling Simulation
Jincheng Zhang
Abstract
This paper proposes a novel approach to algorithmic randomness generation utilizing the principles of quantum tunneling simulation. Traditional pseudo-random number generators (PRNGs) are inherently susceptible to biases and vulnerabilities, often derived from deterministic algorithms. This research introduces a methodology that harnesses quantum phenomena, specifically the probability of tunneling through a potential well, to produce truly random sequences. The core mechanism involves modulating the tunneling probability based on a function directly related to the desired random value. This approach offers a fundamentally different paradigm for randomness generation, potentially overcoming the limitations imposed by classical PRNGs and providing a more robust and unbiased source of randomness. The simulation methodology is described in detail, along with a theoretical framework outlining the key mathematical operations involved. The potential advantages of this technique, particularly regarding its resistance to prediction and biases, are explored.