Research On Entropy Increase Characteristics Of Chaos Amplified Quantum Noise In High-Speed Random Number Generation

Random numbers are widely used in digital fields such as cryptography,numerical computing,and communications.In large-scale numerical simulation and information security application schemes,true random number generation is the key technology to achieve final performance and reliability.Most true random number generators are based on physical systems,and physical random numbers are very important to achieve non-replicability and unpredictability in information security applications,of which quantum random number generator（QRNG）is an important method,Its randomness comes from the uncertainty of quantum physics.In the field of quantum random number generation,continuous variable quantum random number generators are particularly promising due to their high bandwidth,robustness,and chipability.However,due to side information,detection gain limitations,and post-processing resource consumption,etc.The security and random number generation rate of the scheme using the vacuum state as the source of entropy need to be improved urgently.The generation of high-entropy and high-speed quantum random numbers has become the current research hotspot and focus.An important issue in quantum random number generation is the evaluation of the entropy rate,which is the rate at which unpredictability arises.We propose to use chaos to amplify the entropy content of quantum noise.Because the chaotic system has output characteristics such as super-sensitive initial value and noise-like output,the initial uncertainty caused by microscopic noise in the system will be nonlinearly amplified by chaotic dynamics and converted into macroscopic Fluctuating signals,macroscopic observations will be unpredictable after a long time,and nonlinear amplification of inherent noise in chaotic systems is considered to be the source of randomness.Based on the chaos-sensitive and entropy-increasing mechanism,this paper uses a chaotic laser to rapidly and nonlinearly amplify the quantum shot noise,convert the microscopic quantum noise in the laser into random transitions between discrete macroscopic states,and significantly increase the quantum entropy content of the system.Entropy content is a quantitative standard to measure the true randomness of random sequences.Entropy value is high enough to ensure high security of random number applications.Theoretically construct an ensemble of noisy chaotic systems,use KLD entropy to find out the convergence properties of noisy chaotic systems,and study the statistical properties of noise amplification in delayed feedback laser systems.Using the fluctuating noise of the high-frequency quantum mode component of the chaotic light field as the entropy source part,the quantum entropy content of the continuous variable quantum random number generation system is significantly improved.and then we use the h_cp（ε,τ）to quantify the entropy rate of chaotic amplification of intrinsic noise,To find out the entropy increase path of the chaotic laser system from the internal noise to the chaotic convergence steady state.Experimentally,the entropy increase characteristic of chaotic amplification quantum shot noise based on the homodyne detection system is studied,the entropy rate is used to evaluate the consistency of the entropy increase process,and the quantum entropy content is maximized by coordinating the controllable parameters of the system.The method of extracting the broadband quantum state frequency mode of chaotic light field realizes the efficient use of quantum entropy source to generate high-entropy,high-speed and trustworthy quantum random numbers.