Extensions and generalizations of graphs
In mathematics and physics, a quantum graph is a linear, network-shaped structure of vertices connected on edges (i.e., a graph) in which each edge is given a length and where a differential (or pseudo-differential) equation is posed on each edge. An example would be a power network consisting of power lines (edges) connected at transformer stations (vertices); the differential equations would then describe the voltage along each of the lines, with boundary conditions for each edge provided at the adjacent vertices ensuring that the current added over all edges adds to zero at each vertex. Quantum graphs were first studied by Linus Pauling as models of free electrons in organic molecules in the 1930s. They also arise in a variety of mathematical contexts, e.g. as model systems in quantum chaos, in the study of waveguides, in photonic crystals and in Anderson localization, or as limit on shrinking thin wires. Quantum graphs have become prominent models in mesoscopic physics used to obtain a theoretical understanding of nanotechnology. Another, more simple notion of quantum graphs was introduced by Freedman et al. Aside from actually solving the differential equations posed on a quantum graph for purposes of concrete applications, typical questions that arise are those of controllability (what inputs have to be provided to bring the system into a desired state, for example providing sufficient power to all houses on a power network) and identifiability (how and where one has to measure something to obtain a complete picture of the state of the system, for example measuring the pressure of a water pipe network to determine whether or not there is a leaking pipe). (Wikipedia).
What Is Quantum Computing | Quantum Computing Explained | Quantum Computer | #Shorts | Simplilearn
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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
Quantum Theory - Full Documentary HD
Check: https://youtu.be/Hs_chZSNL9I The World of Quantum - Full Documentary HD http://www.advexon.com For more Scientific DOCUMENTARIES. Subscribe for more Videos... Quantum mechanics (QM -- also known as quantum physics, or quantum theory) is a branch of physics which deals with physica
From playlist TV Appearances
Who Has The Best Quantum Computer?
This is a summary of all the main companies building quantum computers today, and what their most powerful machines are. You can get the digital image here: https://www.flickr.com/photos/95869671@N08/51849762629/in/dateposted-public/ But we can’t simply look at qubits counts because so man
From playlist Quantum Physics Videos - Domain of Science
Quantum Computing for Beginners | How to get started with Quantum Computing
Quantum computing is the use of quantum-mechanical phenomena such as superposition and entanglement to perform computation. A quantum computer is used to perform such computation, which can be implemented theoretically or physically. The field of quantum computing is actually a sub-field
From playlist Quantum Physics
The Map of Quantum Computing | Quantum Computers Explained
An excellent summary of the field of quantum computing. Find out more about Qiskit at https://qiskit.org and their YouTube channel https://www.youtube.com/c/qiskit And get the poster here: https://store.dftba.com/collections/domain-of-science/products/map-of-quantum-computing With this vi
From playlist Quantum Physics Videos - Domain of Science
Quantum Simulation | You Can Program a Quantum Computer Too!
Quantum simulation is a really promising route to discover new technologies of the future by finding new materials with new physical properties. Check out the Qiskit YouTube channel here: https://www.youtube.com/qiskit and this is a good playlist to start with https://bit.ly/2KxqOIV I’ve
From playlist The Map of Quantum Physics Expanded
This is the Map of Quantum Physics and quantum mechanics covering everything you need to know about this field in one image. Check out this video's sponsor https://brilliant.org/dos And grab this poster here: https://store.dftba.com/collections/domain-of-science/products/map-of-quantum-phy
From playlist The Map of Quantum Physics Expanded
Francis Brown - Quantum Field Theory and Arithmetic
Quantum Field Theory and Arithmetic
From playlist 28ème Journées Arithmétiques 2013
Paul Meunier - Quantum Automorphism Groups of Some Classes of Graphs
Simple combinatorial objects like finite graphs can reveal hidden endemically quantum behaviors. In the same way that the symmetries of a graph are encoded in its automorphism group, its quantum symmetries are encoded in its quantum automorphism group. Surprisingly, the latter can be very
From playlist Annual meeting “Arbre de Noël du GDR Géométrie non-commutative”
Mathematics in Post-Quantum Cryptography - Kristin Lauter
2018 Program for Women and Mathematics Topic: Mathematics in Post-Quantum Cryptography Speaker: Kristin Lauter Affiliation: Microsoft Research Date: May 21, 2018 For more videos, please visit http://video.ias.edu
From playlist My Collaborators
Wolfram Physics Project: Implications for Computer Science Technical Q&A
Stephen Wolfram & Jonathan Gorard & Max Piskunov continue answering questions about the new Wolfram Physics Project, this time specifically for highly technical Computer Science implications. Begins at 2:36 Originally livestreamed at: https://twitch.tv/stephen_wolfram Stay up-to-date on
From playlist Wolfram Physics Project Livestream Archive
Thomas Wong: Spatial search lackadaisical quantum walks
The coined quantum walk is a discretization of the Dirac equation of relativistic quantum mechanics, and it is a useful model for developing quantum algorithms. For example, many quantum spatial search algorithms are based on coined quantum walks. In this talk, we explore a lazy version of
From playlist Mathematics in Science & Technology
Arthur Troupel - Free Wreath Products as Fundamental Graph C*-algebras
The free wreath product of a compact quantum group by the quantum permutation group S+N has been introduced by Bichon in order to give a quantum counterpart of the classical wreath product. The representation theory of such groups is well-known, but some results about their operator algebr
From playlist Annual meeting “Arbre de Noël du GDR Géométrie non-commutative”
What Every Physicist Should Know About String Theory: Edward Witten
https://strings2015.icts.res.in/talkTitles.php Table of Contents (powered by https://videoken.com) 0:00:00 Introduction 0:01:05 [Talk: What Every Physicist Should Know About String Theory by Edward Witten] 0:02:46 Anyone who has studied physics is familiar with the fact that while physics
From playlist Strings 2015 conference
Verification of Measurement-Based Quantum Computation - M. Hayashi - Main Conference - CEB T3 2017
Masahito Hayashi (Nagoya) / 14.12.2017 Title: Verification of Measurement-Based Quantum Computation Abstract: Quantum computation offers a novel way of processing information and promises solution of some classically intractable problems. However, if the component of the quantum com
From playlist 2017 - T3 - Analysis in Quantum Information Theory - CEB Trimester
The Abel lectures: László Lovász and Avi Wigderson
0:30 Introduction by the Abel Prize Committee Chair, Hans Munthe-Kaas 02:42 László Lovász: Continuous limits of finite structures 49:27 Questions and answers 1:00:31 Avi Wigderson: The Value of Errors in Proofs 1:41:24 Questions and answers 1:50:20 Final remarks by John Grue, Chair of the
From playlist Abel Lectures
Wolfram Physics Project: Working Session Thursday, May 21, 2020 [Quantum Computing in Our Models]
This is a Wolfram Physics Project working session about quantum computing 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://wolfr.am/
From playlist Wolfram Physics Project Livestream Archive
Wolfram Physics Project: Working Session Thursday, Apr. 30, 2020 [Quantum Effects]
Stephen Wolfram & Jonathan Gorard continue answering questions about the new Wolfram Physics Project, this time for a working session on quantum effects in the Wolfram Model. Begins at 5:22 Originally livestreamed at: https://twitch.tv/stephen_wolfram Stay up-to-date on this project by v
From playlist Wolfram Physics Project Livestream Archive
The Interpretations of Quantum Mechanics
An introduction to the Interpretations of Quantum Mechanics. The first 500 people to sign up via my link will get two FREE months of Skillshare Premium: https://skl.sh/domainofscience The interpretations of quantum physics are a collection of attempts of many physicists to try and make qua
From playlist The Map of Quantum Physics Expanded