The book International Symposium on Mathematics, Quantum Theory, and Cryptography (Mathematics for Industry Book 33) presents an insightful collection of papers that delve into the intersection of mathematics, quantum theory, and cryptography, with a focus on post-quantum cryptographic advancements. Below is a detailed overview:
Overview:
- Event Context:
- The book is a compilation of selected papers presented at the International Symposium on Mathematics, Quantum Theory, and Cryptography (MQC) held in Fukuoka, Japan, in September 2019.
- Main Focus:
- Explores mathematical and quantum theoretical foundations critical to the development of post-quantum cryptography.
- Includes topics such as:
- Mathematical studies of light-matter interaction models.
- The implications of quantum computing for secure cryptographic systems.
Key Topics:
- Quantum Vulnerability of RSA:
- Discusses the widely known RSA cryptosystem, which relies on the difficulty of factoring large integers for security.
- Highlights the breakthrough of Shor’s quantum algorithm (1994), which enables polynomial-time factoring, rendering RSA insecure in a quantum computing paradigm.
- Post-Quantum Cryptography:
- Emphasizes research into alternative cryptographic systems resistant to quantum attacks.
- Explores mathematical problems and structures suitable for post-quantum cryptography, including lattice-based cryptography and other quantum-resistant approaches.
- NIST Standardization Efforts:
- Describes the National Institute of Standards and Technology (NIST) initiative (started in 2016) to standardize post-quantum cryptographic algorithms.
- Reflects on the global effort to prepare for a quantum computing future.
Audience:
- Designed for postgraduate students in mathematics and computer science who are studying cryptographic systems and quantum theory.
- Useful for industry professionals involved in developing and securing cryptographic solutions in the era of quantum computing.
Significance:
- Provides a comprehensive look at the challenges and solutions in cryptographic security posed by quantum computing advancements.
- Serves as an excellent resource for understanding the theoretical and practical aspects of post-quantum cryptography.
This book bridges academia and industry, offering cutting-edge research insights and foundational knowledge critical for anyone working in or studying the rapidly evolving field of post-quantum cryptography.