This paper presents a probabilistic, multi-layered framework designed to forecast the longevity and security of cryptographic systems under the dual pressures of classical and quantum computational threats. The model integrates thermodynamic decay analogies, stochastic transitions via Hidden Markov Models, and an adapted financial option pricing method to quantify cryptographic degradation, strategic risk, and transition readiness. This framework can guide standardization roadmaps, cipher retirement, or quantum-migration planning, guiding proactive, instead of reactive, crypto agility. Furthermore, it provides a quantitative methodology to complement the current opinions expressed in surveys, as well as a qualitative approach to cryptographic security risk projections.
This paper presents a probabilistic, multi-layered framework designed to forecast the longevity and security of cryptographic systems under the dual pressures of classical and quantum computational threats. The model integrates thermodynamic decay analogies, stochastic transitions via Hidden Markov Models, and an adapted financial option pricing method to quantify cryptographic degradation, strategic risk, and transition readiness. This framework can guide standardization roadmaps, cipher retirement, or quantum-migration planning, guiding proactive, instead of reactive, crypto agility. Furthermore, it provides a quantitative methodology to complement the current opinions expressed in surveys, as well as a qualitative approach to cryptographic security risk projections.
Quantum computing poses an existential threat to public-key cryptography, with Shor's algorithm capable of breaking RSA and elliptic curve systems once cryptographically relevant quantum computers (CRQCs) emerge. While post-quantum cryptography (PQC) offers algorithmic solutions, organizational readiness extends beyond technical implementation to encompass governance, interoperability, and adaptive capacity. This review synthesizes the quantum threat landscape, evaluates NIST-standardized PQC algorithms through quantitative performance analysis, and examines global standardization dynamics. We introduce a novel Quantum Readiness Maturity Model (QRMM) that enables organizations to assess and advance their preparedness across five dimensions: cryptographic infrastructure, governance frameworks, sectoral adaptation, interoperability resilience, and strategic agility. Applying this model to finance, telecommunications, and defense sectors reveals systematic gaps in migration planning and crypto-agility. Our analysis demonstrates that quantum readiness requires treating cryptographic transformation as a strategic enterprise capability rather than a purely technical upgrade. The proposed framework provides actionable pathways for practitioners while identifying critical research directions in hybrid deployment strategies, post-quantum PKI architectures, and algorithmic diversity.
Abstract Classical computing architectures cannot reasonably solve computationally challenging problems, such as those of RSA public-key encryption, Diffie-Hellman key exchange, and elliptic curve cryptography, which form the cryptographic foundations of modern enterprise information security. Superposition and entanglement phenomena can be used to make quantum computers efficient in solving these problems, which are efficiently solved by Shor's algorithm and Grover's algorithm, and make existing cryptographic infrastructure entirely insecure. While quantum computing is fault-tolerant and still under development, the 'harvest now, decrypt later' threat model by which adversaries can harvest encrypted data now to be decrypted later when they can operate quantum systems signals that the cryptographic threat is present, not future. The objective of this study is to examine the current state of enterprise cryptographic readiness against threats in the quantum era and to create a model for organizational transition to the new cryptographic standards in the quantum era, which is called the Quantum-Resilient Security Architecture (QRSA) Framework. It uses a mixed-methods research methodology, consisting of a systematic literature review, an expert Delphi survey of 38 cybersecurity practitioners from 16 countries, and a qualitative analysis of five enterprise organizations, to examine the state of quantum-capable cryptographic protocols, the readiness of organizations in the technical, governance and capability aspects, and the most important enablers and blockers for the post-quantum migration. The key findings include that: 94 percent of enterprise systems assessed are today still using quantum-vulnerable cryptographic primitives; less than 12 percent of organizations surveyed have started formal planning efforts for quantum migration; and, in most of the cases analyzed, the National Institute of Standards and Technology (NIST) post-quantum cryptography standardization process has not made significant impacts on enterprise security roadmaps. The QRSA Framework offers a staged migration architecture based on the NIST standardized algorithms such as CRYSTALS-Kyber, CRYSTALS-Dilithium and SPHINCS+ that integrates with the enterprise security infrastructure. Contributions include cybersecurity governance scholarship, enterprise risk management theory, and information security policy.
The accelerating adoption of quantum computing poses both unprecedented opportunities and systemic risks for global financial systems. While quantum algorithms promise breakthroughs in portfolio optimization, risk modeling, and economic forecasting, the potential compromise of classical cryptographic infrastructures threatens the confidentiality, integrity, and stability of digital financial ecosystems. This study examines the interplay between quantum-resilient cryptography and macro-financial stability, proposing a dual-layer security-economic framework to guide the transition toward post-quantum financial architectures. We evaluate leading post-quantum cryptographic (PQC) standards—including lattice-based, hash-based, and code-based schemes—and assess their performance within high-frequency trading networks, interbank settlement systems, and blockchain-enabled financial platforms. Simulation-based analyses demonstrate that PQC integration introduces measurable computational overheads but significantly strengthens resistance against quantum-enabled cyberattacks, thereby mitigating systemic vulnerabilities that could cascade across financial markets. Our findings highlight that timely migration to quantum-safe cryptography is essential for preserving economic stability, protecting financial institutions from existential cyber risks, and ensuring the long-term resilience of digital economies in the quantum era.
Abstract—The progression of quantum computing presents a prospective threat to classical public-key cryptographic systems widely used in enterprise data infrastructures. This study proposes a structured, analytics-driven framework to support organizational migration toward quantum-safe cybersecurity. The five-phase model integrates cryptographic asset inventory, probabilistic risk modeling, post-quantum control selection, phased implementation, and continuous monitoring.A Monte Carlo–based simulation estimates potential vulnerability windows for RSA and ECC under varying qubit growth scenarios, enabling data-driven risk prioritization. Performance benchmarking of selected post-quantum cryptographic schemes was conducted using Open Quantum Safe (OQS) libraries across 10,000 runs to evaluate computational overhead and scalability characteristics. Organizational readiness was assessed through survey analytics (n = 25) and Delphi-based expert validation (n = 15), providing structured consensus on implementation feasibility.A controlled enterprise pilot demonstrated measurable reductions in migration planning time (approximately 82% within scope) alongside high usability acceptance (SUS score: 84/100). Findings suggest that integrating predictive modeling, performance analytics, and governance planning can enhance preparedness for long-term quantum risk while maintaining operational stability. The framework contributes to applied data analytics and communication network security by offering a quantitatively informed pathway for enterprise cryptographic transition. Index Terms—quantum-safe cryptography, post-quantum mi- gration, quantum computing, cryptographic inventory, hybrid TLS, cybersecurity frameworks
The rise of large-scale quantum computing poses a significant threat to traditional cryptographic security measures. Quantum attacks, particularly targeting the mathematical foundations of current asymmetric cryptographic algorithms, render them ineffective. Even standard symmetric key cryptography is susceptible, albeit to a lesser extent, with potential security enhancements through longer keys or extended hash function outputs. Consequently, the cryptographic solutions currently employed to safeguard data will be inadequately secure and vulnerable to emerging quantum technology threats. In response to this impending quantum menace, organizations must chart a course towards quantum-safe environments, demanding robust business continuity plans and meticulous risk management throughout the migration process. This study provides an in-depth exploration of the challenges associated with migrating from a non-quantum-safe cryptographic state to one resilient against quantum threats. We introduce a comprehensive security risk assessment framework that scrutinizes vulnerabilities across algorithmic, certificate, and protocol layers, covering the entire migration journey, including pre-migration, through-migration, and post-migration stages. Our methodology links identified vulnerabilities to the well-established STRIDE threat model, establishing precise criteria for evaluating their potential impact and likelihood throughout the migration process. Moving beyond theoretical analysis, we address vulnerabilities practically, especially within critical components like cryptographic algorithms, public key infrastructures, and network protocols. Our study not only identifies potential attacks and vulnerabilities at each layer and migration stage but also suggests possible countermeasures and alternatives to enhance system resilience, empowering organizations to construct a secure infrastructure for the quantum era. Through these efforts, we establish the foundation for enduring security in networked systems amid the challenges of the quantum era.
Quantum computing represents a paradigm shift that poses a profound threat to contemporary financial cryptographic systems. This study investigates the implications of quantum computing on classical encryption mechanisms and evaluates the effectiveness of post-quantum cryptographic solutions for securing financial transactions. Using a mixed-methods experimental approach, the study quantitatively analyzes the vulnerability of widely used cryptographic algorithms, including RSA, elliptic curve cryptography, and AES, under quantum attack models based on Shor’s and Grover’s algorithms. The results demonstrate a drastic reduction in security for asymmetric cryptographic schemes and a significant degradation in symmetric key strength, effectively halving their security margins. Qualitative risk analysis further reveals heightened exposure of financial systems to long-term data breaches, transaction manipulation, and regulatory non-compliance, particularly under “harvest-now, decrypt-later” scenarios. Post-quantum cryptographic schemes, including lattice-based and hash-based methods, are shown to provide robust resistance to quantum attacks while introducing manageable computational overhead. The findings highlight the importance of crypto-agility, hybrid cryptographic deployment, and early migration strategies to mitigate quantum-induced risks. This study concludes that the proactive adoption of quantum-safe cryptography is essential to preserving financial security, operational resilience, and trust in the emerging quantum era.