Introduction to Quantum Algorithms - IPAM at UCLA

Dive into the world of quantum computing with this comprehensive 2-hour 22-minute lecture on "Introduction to Quantum Algorithms" presented by Jens Palsberg from the University of California, Los Angeles. Recorded on February 22, 2023, as part of IPAM's Winter School on Contemporary Quantum Algorithms and Applications, explore fundamental concepts such as Grover's Algorithm, basis vectors, quantum circuits, and the Hadamard gate. Understand the mathematical definitions, probabilities, and the principles of uncompute in quantum simulations. Delve into the intricacies of nondeterminism, parallelization, and the general case of quantum algorithms. Gain insights into the challenges faced in quantum computing and discover how these groundbreaking algorithms work. Perfect for those seeking to expand their knowledge in the rapidly evolving field of quantum computing.

Introduction
What are Quantum Algorithms
Grovers Algorithm
Mathematical definitions
Basis vectors
Grover algorithm
Probabilities
Hadamard
Quantum Circuit
Uncompute
Quantum Simulator
Nondeterminism
Why this works
Problems with Quantum Algorithms
Generalization
Parallelization
General Case
Initial Vector