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International Journal of Scientific Research and Management (IJSRM)

Beyond Boolean Epistemology: A Non-Classical Logic Approach to Understanding Knowledge Formation in Quantum Computing Systems

Pamba Shatson Fasco

Published Feb 20, 2025• 0 citations
Publisher

Abstract

Traditional Boolean logic frameworks have proven inadequate for modeling knowledge formation in quantum computing systems, particularly regarding quantum superposition and entanglement phenomena. Through a comprehensive systematic review of 143 papers from IEEE Xplore, ACM Digital Library, Google Scholar, and Scopus (2020-2024), the researcher identifies fundamental limitations in current epistemological approaches. The study proposes a non-classical logic framework incorporating quantum measurement theory and many-valued logic, demonstrating a 38% improvement in quantum state representation accuracy. The framework introduces novel operators for quantum superposition states, enabling more accurate modeling of quantum algorithmic knowledge formation. Theoretical validation shows significant advantages in quantum error correction and algorithm design, providing a foundation for quantum-aware knowledge systems.

DOI
10.18535/ijsrm/v13i02.ec04

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Traditional Boolean logic frameworks have proven inadequate for modeling knowledge formation in quantum computing systems, particularly regarding quantum superposition and entanglement phenomena. Through a comprehensive systematic review of 143 papers from IEEE Xplore, ACM Digital Library, Google Scholar, and Scopus (2020-2024), the researcher identifies fundamental limitations in current epistemological approaches. The study proposes a non-classical logic framework incorporating quantum measurement theory and many-valued logic, demonstrating a 38% improvement in quantum state representation accuracy. The framework introduces novel operators for quantum superposition states, enabling more accurate modeling of quantum algorithmic knowledge formation. Theoretical validation shows significant advantages in quantum error correction and algorithm design, providing a foundation for quantum-aware knowledge systems.
Quantum entanglement, a cornerstone of quantum mechanics, offers a radically different approach to computation compared to classical methods. This paper investigates the potential of leveraging entanglement's inherent non-symmetry to revolutionize logic computation. We propose a novel quantum computation framework centered around a modified quantum model that exploits the superposition and entanglement of quantum states for parallel processing and enhanced efficiency. The core claim is that the design of this framework, specifically through the utilization of entanglement's non-symmetric properties, will lead to a fundamentally new method of logic computation exceeding the capabilities of traditional approaches. This research explores the design and potential applications of this framework, highlighting its potential to overcome limitations inherent in current quantum algorithms.
This paper presents a novel approach to logic computation based on quantum entanglement, aiming to overcome the limitations of classical logic and explore a new logical theory. We propose a framework leveraging the unique properties of quantum entanglement to construct and manipulate logical circuits, enabling significantly enhanced computational capabilities compared to traditional methods. The core mechanism centers around utilizing entanglement to establish correlated states within the logic circuit, facilitating complex logical operations beyond the capabilities of classical systems. This work introduces a new theoretical foundation rooted in the implications of entanglement on logical structure. We detail the design of the quantum entanglement logic circuit, explore its operational principles, and discuss potential future research directions.
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Objective: The rapid development of quantum computing poses an existential threat to classical cryptographic systems that currently secure global digital infrastructure. In direct response to this quantum threat, post-quantum cryptography (PQC) has emerged as a critical field dedicated to designing algorithms resistant to quantum attacks. Simultaneously, artificial intelligence (AI) — particularly machine learning (ML) and deep learning (DL) — has demonstrated promising and emerging capabilities across cybersecurity domains, including cryptography. Methods: This systematic review was conducted by searching IEEE Xplore, ACM Digital Library, Springer Link, Google Scholar, Scopus, and Web of Science using targeted keywords related to AI and PQC, covering literature published between 2015 and 2025. A total of 62 peer-reviewed studies meeting predefined inclusion criteria were analysed. Results: A total of 38 key studies were identified and analysed across four principal application domains: algorithm design and parameter optimization (31.6%), cryptanalysis and security assessment (26.3%), side-channel attack detection and defense (23.7%), and secure deployment on resource-constrained devices (18.4%). Practical case studies demonstrate measurable performance gains, including a 27% reduction in key exchange time reported in a specific study [60] and 98.3% accuracy in side-channel attack detection reported in a specific study. Conclusions: The synergy between AI and PQC represents a pivotal frontier in cybersecurity. This review provides a structured foundation for future interdisciplinary research in quantum-safe intelligent systems and identifies explainable AI (XAI) integration as the most critical open research direction.
Quantum-enhanced Boolean logic represents a novel computational paradigm leveraging the unique properties of quantum mechanics, specifically superposition and entanglement, to achieve exponential speedups in computation. This paper proposes a design for a new Boolean logic system intrinsically linked to quantum circuits, aiming to exploit these phenomena for parallel processing and enhanced efficiency. We delve into the core mechanism of this system, exploring how quantum entanglement can be strategically employed to represent and manipulate Boolean logic operations. The exploration of this concept aims to push the boundaries of computational capabilities, offering a potential shift in the landscape of algorithmic design. The paper details the theoretical underpinnings, architectural considerations, and potential challenges associated with this approach.