Essential Mathematical Tools for Modern Cryptography

This poster presents a comprehensive overview of fundamental technical concepts from computer science and mathematics for the next generation of scientists in the cryptography field. We focus on the intersection of cybersecurity, cryptography, quantum algorithms, and physics, aiming to showcase the interdisciplinary nature of these fields.

We found an arXiv: 2404.19186 paper with advanced topics; we will center on the undergraduate level and show the basic classical concepts, their quantum counterpart, and their relevance. To achieve this, we will collect and present relevant theorems, lemmas, and definitions from both mathematics and physics, highlighting their quantum counterparts where applicable. We looked the concepts up in the literature and collected them in a parallel list. This approach will serve as a valuable resource for future generations of scientists working on cryptography, offering a unified perspective on the mathematical foundations of this critical field. By examining classical and quantum perspectives, we aim to identify potential concepts that may require revision or implementation in post-quantum cryptography.

In our poster, we will show the classical and its quantum counterpart that works to summarize the most relevant concepts in cryptography. Finally, we discuss the relevance of this area for future scientists.