YoVDO

Transferring States in Discrete Quantum Walks

Offered By: Fields Institute via YouTube

Tags

Quantum Information Courses Graph Analysis Courses Algebraic Graph Theory Courses

Course Description

Overview

Explore the intricacies of discrete quantum walks in this 55-minute lecture by Hanmeng Zhan from York University. Delve into topics such as graph matrices, coins of order two, state transfer mechanisms, and the concept of pretty good state transfer. Examine spectral correspondences, strong cospectrality reduction, and geodetic angles. Investigate quantum walk searches, including marked vertex scenarios and average search probability. Analyze distance regular graphs and compare discrete and continuous quantum walks. Gain insights into the one-quarter success probability theorem and participate in a concluding question session.

Syllabus

Intro
Outline
A graph and a matrix
A discrete quantum walk
Coins of order two
Transferring states
Pretty good state transfer
A spectral correspondence
Reduction of strong cospectrality
Example 1
A 'characterization
Geodetic angles
More examples
Quantum walk with a marked vertex
Quantum walk search
An averaging perspective
Average search probability
Distance regular graphs
Discrete bounded by continuous
Question
One quarter success probability


Taught by

Fields Institute

Related Courses

Big Data Analytics in Healthcare
Georgia Institute of Technology via Udacity
Aplicaciones de la teoría de grafos a la vida real
Miríadax
Алгебраическая теория графов
Novosibirsk State University via Coursera
Precalculus: Relations and Functions
Johns Hopkins University via Coursera
IELTS Academic Writing Part 1 - Graphs and Tables
Udemy