Quantum Chaos Generator

Chon‐Fai Kam, Wei-Min Zhang, D.H. Feng

Jincheng Zhang

This paper presents a novel approach to hardware security key generation leveraging the unique properties of quantum chaos. Traditional hardware security key generation methods often rely on pseudo-random number generators (PRNGs) which are susceptible to various attacks. Quantum chaos, arising from the inherent sensitivity to initial conditions in chaotic systems, offers a fundamentally different approach, providing a source of high-quality randomness and inherent robustness. This research details the design and implementation of a hardware system specifically engineered to generate quantum chaotic signals, followed by a method for extracting a cryptographic key based on the statistical characteristics of these signals. The core claim of this work is the generation of hardware security keys with high key authenticity. The key mechanism involves a stable quantum chaos signal generation system combined with statistical key extraction. The resulting keys are expected to demonstrate superior security characteristics compared to those generated by conventional PRNGs. This approach addresses the vulnerabilities inherent in existing hardware security solutions and provides a promising pathway toward more robust and secure key generation. ---

Martin C. Gutzwiller

Dima L. Shepelyansky

Some properties of quantum chaos G P Berman Stochastic web and structure generation G M Zaslavski, Renad Z Sagdeev, O A Usikov et al. Dynamical chaos in magnetic systems K N Alekseev, G P Berman, V I Tsifrinovich et al. Quantum chaos in interactions of multilevel quantum systems with a coherent radiation field G P Berman and A R Kolovski Minimal chaos, stochastic webs, and structures of quasicrystal symmetry G M Zaslavski, Roal'd Z Sagdeev, D A Usikov et al. Ionization of excited hydrogen atoms by microwave fields: a test case for quantum chaos R Blumel and U Smilansky Quantum effects in the long time behavior of the dissipative standard map T Dittrich and R Graham Quantum chaos: diffusion photoeffect in hydrogen

Giulio Casati

Bertrand Georgeot

This paper reviews recent work related to the interplay between quantum information and computation on the one hand and classical and quantum chaos on the other. First, we present several models of quantum chaos that can be simulated efficiently on a quantum computer. Then a discussion of information extraction shows that such models can give rise to complete algorithms including measurements that can achieve an increase in speed compared with classical computation. It is also shown that models of classical chaos can be simulated efficiently on a quantum computer, and again information can be extracted efficiently from the final wave function. The total gain can be exponential or polynomial, depending on the model chosen and the observable measured. The simulation of such systems is also economical in the number of qubits, allowing implementation on present-day quantum computers, some of these algorithms having been already experimentally implemented. The second topic considered concerns the analysis of errors on quantum computers. It is shown that quantum chaos algorithms can be used to explore the effect of errors on quantum algorithms, such as random unitary errors or dissipative errors. Furthermore, the tools of quantum chaos allows a direct analysis of the effects of static errors on quantum computers. Finally, we consider the different resources used by quantum information, and show that quantum chaos has some precise consequences on entanglement generation, which becomes close to maximal. For another resource, interference, a proposal is presented for quantifying it, enabling a discussion on entanglement and interference generation in quantum algorithms.