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arXiv:2503.04806

The Post-Quantum Cryptography Transition: Making Progress, But Still a Long Road Ahead

Brian A. LaMacchia, Matt Campagna, William Gropp

Published Mar 3, 2025• 0 citations
arXivHTMLPDF

Abstract

The development of quantum computing threatens the security of our currently widely deployed cryptographic algorithms. While signicant progress has been made in developing post-quantum cryptography (PQC) standards to protect against future quantum computing threats, the U.S. government's estimated $7.1 billion transition cost for non-National Security Systems alone, coupled with an aggressive 2035 deadline, will require sustained funding, research, and international coordination to successfully upgrade existing cryptographic systems.

DOI
10.48550/arxiv.2503.04806

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The development of quantum computing threatens the security of our currently widely deployed cryptographic algorithms. While signicant progress has been made in developing post-quantum cryptography (PQC) standards to protect against future quantum computing threats, the U.S. government's estimated $7.1 billion transition cost for non-National Security Systems alone, coupled with an aggressive 2035 deadline, will require sustained funding, research, and international coordination to successfully upgrade existing cryptographic systems.
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The accelerating development of quantum computing represents one of the most significant paradigm shifts in the history of information security. Cryptographic systems that currently underpin global digital infrastructure—including RSA, Diffie–Hellman, and Elliptic Curve Cryptography—rely on mathematical assumptions that collapse under quantum algorithms such as Shor’s and Grover’s. Post-Quantum Cryptography (PQC) emerges as the most viable and immediate solution to secure communications in the quantum era, offering cryptographic primitives that can be deployed on today’s classical hardware while resisting both classical and quantum attacks. This review provides a comprehensive, detailed examination of PQC, analyzing its mathematical foundations, algorithmic families, standardization progress, and deployment challenges. Special emphasis is placed on the NIST PQC standardization process, the risk posed by “harvest-now-decrypt-later” adversaries, the complexities of global cryptographic migration, and the implications for critical digital infrastructures such as cloud computing, blockchain systems, long-lifespan data archives, IoT ecosystems, and national cybersecurity. Through standalone equations, tables, and figures—including a conceptual visual provided by the user—this paper offers a complete, cohesive, and rigorous synthesis. The findings underscore that the transition to PQC is not optional but imperative, requiring coordinated scientific, governmental, and industrial effort to safeguard the digital future.
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Quantum computing poses a significant threat to conventional cryptographic systems that rely on the difficulty of mathematical problems such as integer factorization and discrete logarithms. These systems underpin much of the current security infrastructure, including public key cryptography and digital signatures. As quantum computers approach practical viability, there is an urgent need to transition to quantum-resistant cryptographic solutions that can secure digital communications against adversaries equipped with quantum capabilities. This paper explores the landscape of quantum-resistant cryptography, focusing on those algorithms that have emerged either as standards or as leading algorithm. Furthermore, the paper examines the progress of standardization efforts, such as the National Institute of Standards and Technology (NIST) Post-Quantum Cryptography (PQC) initiative, and the implications of deploying these algorithms in existing systems. By addressing the practical considerations for adoption, this study aims to provide a comprehensive overview of the current state and future directions of quantum-resistant cryptography, ensuring robust security in a post-quantum world.