Lectures related to Groups and Numbers: Hidden Subgroup Problem

Covers classical and quantum computational complexity concepts and implications.

Covers Shor's factoring algorithm and the link between order finding and factoring.

Covers Shor's factoring algorithm, which efficiently factors large numbers using quantum computers.

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

Explores practical aspects of solving parity games, including winning strategies, algorithms, complexity, determinism, and heuristic approaches.

Covers quantum computing basics, quantum algorithms, error correction, and quantum bit manipulation.

Covers the Shor algorithm for quantum factorization and the general formula for arithmetic periods.

Covers the basics of number theory, RSA encryption, and Shor's period finding algorithm.

Covers the Quantum Order Finding algorithm using Quantum Phase Estimation (QPE), focusing on Shor's factoring algorithm.

Explores the Simon 1 problem in quantum computing, emphasizing symmetry, oracle queries, and quantum measurements.

Explores quantum algorithms, their complexity, and applications in learning, highlighting key concepts and recent research findings.

Explains Grover's Quantum Search Algorithm, which outperforms classical algorithms in searching unstructured databases using O(√N) queries.

Covers the Deutsch and Josza problem in quantum computation, focusing on boolean functions and oracles.

Explores methods and algorithms for integer factorization, including testing for B smoothness and computing small primes.

Explores the Shor algorithm circuit details for efficient number factoring using quantum computing.

Covers the Shor algorithm for quantum factorization using tensor methods and graded solutions.

Covers the Quadratic Sieve method for integer factorization, emphasizing the importance of choosing the right parameters for efficient factorization.

Covers the Deutsch and Deutsch-Jozsa algorithms in quantum computing, explaining the principles behind them and their implications.

Covers worst-case complexity, algorithms, and proofs including mathematical induction and recursion.

Covers the mechanisms behind quantum computation and explores the advantages of restricted computational models.