In quantum computing, a graph state is a special type of multi-qubit state that can be represented by a graph. Each qubit is represented by a vertex of the graph, and there is an edge between every interacting pair of qubits. In particular, they are a convenient way of representing certain types of entangled states. Graph states are useful in quantum error-correcting codes, entanglement measurement and purification and for characterization of computational resources in measurement based quantum computing models. (Wikipedia).
What is a Graph? | Graph Theory
What is a graph? A graph theory graph, in particular, is the subject of discussion today. In graph theory, a graph is an ordered pair consisting of a vertex set, then an edge set. Graphs are often represented as diagrams, with dots representing vertices, and lines representing edges. Each
From playlist Graph Theory
Graph Theory FAQs: 01. More General Graph Definition
In video 02: Definition of a Graph, we defined a (simple) graph as a set of vertices together with a set of edges where the edges are 2-subsets of the vertex set. Notice that this definition does not allow for multiple edges or loops. In general on this channel, we have been discussing o
From playlist Graph Theory FAQs
Graph Theory: 02. Definition of a Graph
In this video we formally define what a graph is in Graph Theory and explain the concept with an example. In this introductory video, no previous knowledge of Graph Theory will be assumed. --An introduction to Graph Theory by Dr. Sarada Herke. This video is a remake of the "02. Definitio
From playlist Graph Theory part-1
A formal definition of a Graph and its properties
From playlist Graph Theory
The Definition of a Graph (Graph Theory)
The Definition of a Graph (Graph Theory) mathispower4u.com
From playlist Graph Theory (Discrete Math)
Graphing Equations By Plotting Points - Part 1
This video shows how to graph equations by plotting points. Part 1 of 2 http://www.mathispower4u.yolasite.com
From playlist Graphing Various Functions
Graph Theory: 03. Examples of Graphs
We provide some basic examples of graphs in Graph Theory. This video will help you to get familiar with the notation and what it represents. We also discuss the idea of adjacent vertices and edges. --An introduction to Graph Theory by Dr. Sarada Herke. Links to the related videos: https
From playlist Graph Theory part-1
Graph Neural Networks, Session 1: Introduction to Graphs
Examples of Graph representation of data Motivation for doing machine learning on Graphs
From playlist Graph Neural Networks (Hands-on)
Graph Theory Talk: Graphs, Edges, Vertices, Adjacency Matrix and it's Eigenvalues
Graph Theory Stuff: Graphs, Edges, Vertices, Adjacency Matrix and it's Eigenvalues
From playlist Graph Theory
Physics Tools II: MultiwaySystem and Related Functions
Find more information about the summer school here: https://education.wolfram.com/summer/school Stay up-to-date on this project by visiting our website: http://wolfr.am/physics Check out the announcement post: http://wolfr.am/physics-announcement Find the tools to build a universe: https:
From playlist Wolfram Summer Programs
Chris Godsil: Problems with continuous quantum walks
Continuous quantum walks are of great interest in quantum computing and, over the last decade, my group has been studying this topic intensively. As graph theorists, one of our main goals has been to get a better understanding of the relation between the properties of a walk and the proper
From playlist Combinatorics
Lec 19 | MIT 6.451 Principles of Digital Communication II
The Sum-Product Algorithm View the complete course: http://ocw.mit.edu/6-451S05 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT 6.451 Principles of Digital Communication II
Theory of Computation. 4. Minimizing FSMs
From playlist Theory of Computation - aduni
Wolfram Physics Project: Working Session Tuesday, Feb. 9, 2021 [Quantum Observers & NP-Completeness]
This is a Wolfram Physics Project working session on Quantum Observers and NP-Completeness. Originally livestreamed at: https://twitch.tv/stephen_wolfram Stay up-to-date on this project by visiting our website: http://wolfr.am/physics Check out the announcement post: http://wolfr.am/phys
From playlist Wolfram Physics Project Livestream Archive
Wolfram Physics Project: Working Session Tuesday, May 26, 2020 [Rulial Space and Other Topics]
This is a Wolfram Physics Project working session on Rulial space and other topics in the Wolfram Model. Originally livestreamed at: https://twitch.tv/stephen_wolfram Stay up-to-date on this project by visiting our website: http://wolfr.am/physics Check out the announcement post: http://
From playlist Wolfram Physics Project Livestream Archive
Temporal Graph Networks (TGN) | GNN Paper Explained
❤️ Become The AI Epiphany Patreon ❤️ ► https://www.patreon.com/theaiepiphany ▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬ A deep dive into the temporal graph networks paper. You'll learn about: ✔️ What are dynamic graphs? ✔️ How to get a vectorized representation of time ✔️ All the nitty-gritty details behi
From playlist Graph Neural Nets
The Mathematics of Shifting Juggling States
A juggling state is a snapshot of where the balls are in a juggling pattern at a particular moment in time. We explain what a state is, how to determine if one state can follow another, and generalize the ideas with surprising results.
From playlist Summer of Math Exposition 2 videos
Live CEOing Ep 491: Language Design in Wolfram Language [Multiway Computation]
In this episode of Live CEOing, Stephen Wolfram discusses upcoming improvements and features to the Wolfram Language. If you'd like to contribute to the discussion in future episodes, you can participate through this YouTube channel or through the official Twitch channel of Stephen Wolfram
From playlist Behind the Scenes in Real-Life Software Design
What are Connected Graphs? | Graph Theory
What is a connected graph in graph theory? That is the subject of today's math lesson! A connected graph is a graph in which every pair of vertices is connected, which means there exists a path in the graph with those vertices as endpoints. We can think of it this way: if, by traveling acr
From playlist Graph Theory
Barry Sanders: Spacetime replication of continuous-variable quantum information
Abstract: Combining the relativistic speed limit on transmitting information with linearity and unitarity of quantum mechanics leads to a relativistic extension of the no-cloning principle called spacetime replication of quantum information. We introduce continuous-variable spacetime-repli
From playlist Mathematical Physics