Lectures related to Shor's algorithm: quantum circuit

Covers the properties of signal/data representations using Fourier transformations and matrices.

Covers proper actions of groups on Riemann surfaces and introduces algebraic curves via square roots.

Explores the Grover algorithm, a quantum search algorithm with quadratic speedup, covering quantum circuits, final states, and geometric interpretations.

Quantum Computing: Fundamentals and Applications

Covers the fundamentals of quantum computing, including qubit realization, scalable quantum computers, quantum communication, and quantum algorithms.

Quantum Eigenfunctions

Covers quantum eigenfunctions and the importance of A and B commuting for the same set of eigenfunctions.

Shor's algorithm: factoring integers

Covers the basics of Shor's algorithm for factoring integers and the steps involved in the quantum algorithm.

Normed Spaces

Covers normed spaces, dual spaces, Banach spaces, Hilbert spaces, weak and strong convergence, reflexive spaces, and the Hahn-Banach theorem.

Algorithms & Growth of Functions

Covers optimization algorithms, stable matching, and Big-O notation for algorithm efficiency.