Quantum Resource Estimates for Computing Elliptic Curve Discrete Logarithms

Explore a comprehensive analysis of quantum resource requirements for solving elliptic curve discrete logarithm problems in this 25-minute conference talk presented at Asiacrypt 2017. Delve into the paper by Martin Roetteler, Michael Naehrig, Krysta M. Svore, and Kristin E. Lauter, which examines quantum circuit designs and their implications for cryptographic security. Learn about quantum characteristics, circuit representations, point addition techniques, and the motivation behind this research. Gain insights into simple observations, Matias multiplication methods, addition operations, and comparative analyses that contribute to understanding the potential impact of quantum computing on elliptic curve cryptography.

Intro
Quantum Characteristics
Circuit Picture
Point Addition
Motivation Page
Simple Observation
Matias
Multiplication
Additions
Comparison