An Ideal Random Number Generator Based on Quantum Fluctuations and Rotating Wheel for Secure Image Encryption

2026-03-13

AI Summary

This study addresses the insufficient randomness of cryptographic keys in secure digital image transmission by proposing a true random number generation method that integrates quantum fluctuations with an algorithm-driven rotary wheel mechanism. For the first time, the quantum kicked rotor model is combined with a mechanical rotary wheel, leveraging time-varying rotation speeds and multi-point sampling to dynamically produce high-entropy sequences, thereby significantly enhancing unpredictability. The generated sequences achieve an entropy value of 7.997, approaching the theoretical maximum of 8. When applied to image encryption, the method yields an NPCR of 99.60%, near-zero pixel correlation, and low PSNR, demonstrating its suitability for high-security consumer applications such as mobile healthcare and biometric authentication.

Technology Category

• Machine Learning: Quantum Machine Learning
• Computer Vision: Other Foundations of Computer Vision
• Reasoning under Uncertainty: Stochastic Optimization

Application Category

• Security and Privacy: Applications of cryptography
• Responsible Web: Measurement, analysis, and circumvention of Web censorship
• Search and Retrieval-Augmented AI: Web learning to rank, online learning, and counterfactual learning for ranking

Abstract

In the era of digitization secure transmission of digital images has become essential in real world applications. Image encryption is an effective technique for protecting image data from unauthorized access. The security of encrypted data strongly depends on the quality of the random numbers used as the encryption key. In this paper, we proposed a hybrid random number generator based on quantum fluctuations and an algorithmically inspired rotating wheel. The wheel contains integer values from 0 to 255 that are shuffled using quantum fluctuations generated by time-evolving the quantum kicked rotor model. There are four pre-defined tapping positions in the rotating wheel to collect the number sequences. The wheel rotation speed is dynamically varied after each set of tapping to enhance unpredictability. The entropy of the number sequence obtained from the rotating wheel attains the ideal value of 8 (in an 8 bit representation). Further, the generated number sequences exhibit a flat histogram and nearly zero correlation, indicating strong randomness. The generated sequences are applied to the image encryption and analyzed cryptographically. Experimental results demonstrate a near ideal entropy of 7.997, an NPCR of 99.60%, low correlation in all directions, and low PSNR for encrypted images. These results confirm that the proposed random number generator achieves efficient and high-security performance, making it suitable for the security of consumer applications such as mobile healthcare imaging, biometric authentication, QR-based and multimedia communication on smart devices.

Problem

• secure image encryption
• random number generator
• quantum fluctuations
• image security
• digital image transmission

Innovation

• quantum fluctuations
• rotating wheel
• random number generator
• image encryption
• quantum kicked rotor