Class Central is learner-supported. When you buy through links on our site, we may earn an affiliate commission.

YouTube

Quantum Algorithms - An Overview of Techniques

Simons Institute via YouTube

Overview

Save Big on Coursera Plus. 7,000+ courses at $160 off. Limited Time Only!
Explore quantum algorithms in this comprehensive lecture from the Quantum Wave in Computing Boot Camp. Delve into key techniques including Discrete and Quantum Fourier Transform, the Deutsch-Jozsa and Bernstein-Vazirani algorithms, and Jordan's quantum algorithm for gradients. Examine generalizations and applications, including a simpler algorithm for graph isomorphism and approaches to approximating the Jones polynomial. Investigate Hamiltonian simulation techniques, ground state preparation, and continuous-time quantum walks. Gain insights into the exponential speedup potential of quantum algorithms through this in-depth overview presented by András Gilyén from Caltech.

Syllabus

Intro
Outline
Discrete & Quantum Fourier Transform (QFT)
The Deutsch-Jozsa algorithm (1992)
The Bernstein-Vazirani algorithm (1992)
Jordan's quantum algorithm for gradients (2004)
Generalizations and applications of Jordan's algorithm
The non-Abelian HSP
A simpler algorithm for graph isomorphism
Towards approximating the Jones polynomial
(Dynamical) Hamiltonian simulation
Product formula approach (Lloyd 1996)
Ground state preparation of frustration-free Hamiltonian
Continuous-time quantum / random walks
Exponential speedup by a quantum walk

Taught by

Simons Institute

Reviews

Start your review of Quantum Algorithms - An Overview of Techniques

Never Stop Learning.

Get personalized course recommendations, track subjects and courses with reminders, and more.

Someone learning on their laptop while sitting on the floor.