# A Hybrid Key Generator Model Based on Multiscale Prime Sieve and Quantum-Inspired Approaches
###### Abstract  
This article examines a hybrid generation of cryptographic keys, whose novelty lies in the fusion of a multiscale subkey generation with prime sieve and subkeys inspired by quantum mechanics. It combines number theory with techniques emulated and inspired by quantum mechanics, also based on two demons capable of dynamically modifying the cryptographic model. The integration is structured through the JDL. In fact, a specific information fusion model is used to improve security. As a result, the resulting key depends not only on the individual components, but also on the fusion path itself, allowing for dynamic and cryptographically agile configurations that remain consistent with quantum mechanics-inspired logic. The proposed approach, called quantum and prime information fusion (QPIF), couples a simulated quantum entropy source, derived from the numerical solution of the Schrodinger equation, with a multiscale prime number sieve to construct multilevel cryptographic keys. The multiscale sieve, based on recent advances, is currently among the fastest available. Designed to be compatible with classical computing environments, the method aims to contribute to cryptography from a different perspective, particularly during the coexistence of classical and quantum computers. Among the five key generation algorithms implemented here, the ultra-optimised QRNG offers the most effective trade-off between performance and randomness. The results are validated using standard NIST statistical tests. This hybrid framework can also provide a conceptual and practical basis for future work on PQC aimed at addressing the challenges posed by the quantum computing paradigm. cryptography; quantum mechanics; quantum-inspired cryptography; post-quantum cryptography (PQC) 202520203  
proposed algorithms are implemented and evaluated through entropy analysis, runtime benchmarking, and NIST randomness tests. In this section, we also contextualise our contribution within the broader literature on quantum and post-quantum cryptography. In defence, or in databases of classified and confidential documents of public or private organisations, as well as in a country's infrastructure, access must be allowed only through user authentication. The key point of this work concerns the integration of heterogeneous data through information fusion. Information fusion (IF) is a relatively new field of research: It involves information from two or more sources being ultimately brought together in an attempt to acquire super-information, whose richness of detail and accuracy of data are superior to those that can be obtained by processing the data separately, i.e., a higher level of synthesis that can be achieved through methodological and non-categorical reductionism. From this perspective, an access key has been created to provide not only a high level of secrecy but also, with a high probability, the identification of a person using quantum components and public key cryptography simultaneously. The latter is the technique that provides the strongest response to cryptographic attacks. At the same time, cryptography has become an increasingly important field of research. While the next subsection will consider the context and related work, the following sections will outline the proposed methodology through a layered structure. Section 2 introduces the JDL model as a functional basis for fusion-based cryptographic processes. Section 3 presents the theoretical background of quantum-inspired randomness, while Section 4 introduces a multiscale prime number generator for hybrid key generation. Section 5 describes five quantum-inspired algorithms implemented in Python for key generation. Section 6 offers a comparative analysis of these algorithms based on entropy and execution time. Section 7 discusses optimisation strategies, leading to the ultra-optimised version. Section 8 evaluates the security implications of these implementations. Section 9 explains the fusion framework that combines quantum and prime number-derived components.