How does the Euclidean Algorithm work to find the greatest common divisor (GCD) of two integers, and why is it important in cryptographic protocols?
Friday, 14 June 2024
by EITCA Academy
The Euclidean Algorithm is a classical method in number theory used to determine the greatest common divisor (GCD) of two integers. The GCD of two integers and is the largest integer that divides both and without leaving a remainder. This algorithm is foundational in various fields, including cryptography, due to its efficiency and simplicity. How
What is the greatest common divisor (GCD) and how is it computed classically?
Sunday, 06 August 2023
by EITCA Academy
The greatest common divisor (GCD) is a fundamental concept in number theory, which plays a crucial role in many mathematical algorithms and computations. In the context of quantum information and Shor's quantum factoring algorithm, understanding the GCD is essential for comprehending the underlying principles and techniques employed in the algorithm. The GCD of two or
- Published in Quantum Information, EITC/QI/QIF Quantum Information Fundamentals, Shor's Quantum Factoring Algorithm, Shor's Factoring Algorithm, Examination review
Tagged under:
EUCLIDEAN ALGORITHM, GCD, GREATEST COMMON DIVISOR, Number Theory, Quantum Information, Shor's Algorithm