Linear Algebra: What is a Subspace?
Learn the basics of Linear Algebra with this series from the Worldwide Center of Mathematics. Find more math tutoring and lecture videos on our channel or at http://centerofmath.org/
From playlist Basics: Linear Algebra
A matrix of coefficients, when viewed in column form, is used to create a column space. This is simply the space created by a linear combination of the column vectors. A resulting vector, b, that does not lie in this space will not result in a solution to the linear system. A set of vec
From playlist Introducing linear algebra
Subspaces are the Natural Subsets of Linear Algebra | Definition + First Examples
A subspace is a subset that respects the two basic operations of linear algebra: vector addition and scalar multiplication. We say they are "closed under vector addition" and "closed under scalar multiplication". On a subspace, you can do linear algebra! Indeed, a subspace is an example of
From playlist Linear Algebra (Full Course)
After our introduction to matrices and vectors and our first deeper dive into matrices, it is time for us to start the deeper dive into vectors. Vector spaces can be vectors, matrices, and even function. In this video I talk about vector spaces, subspaces, and the porperties of vector sp
From playlist Introducing linear algebra
Degenerated Liouvillians and Controlling Transport by Juzar Thingna
PROGRAM NON-HERMITIAN PHYSICS (ONLINE) ORGANIZERS: Manas Kulkarni (ICTS, India) and Bhabani Prasad Mandal (Banaras Hindu University, India) DATE: 22 March 2021 to 26 March 2021 VENUE: Online Non-Hermitian Systems / Open Quantum Systems are not only of fundamental interest in physics a
From playlist Non-Hermitian Physics (ONLINE)
On the structure of quantum Markov semigroups - F. Fagnola - PRACQSYS 2018 - CEB T2 2018
Franco Fagnola (Department of Mathematics, Politecnico di Milano, Italy) / 06.07.2018 On the structure of quantum Markov semigroups We discuss the relationships between the decoherence-free subalgebra and the structure of the fixed point subalgebra of a quantum Markov semigroup on B(h) w
From playlist 2018 - T2 - Measurement and Control of Quantum Systems: Theory and Experiments
Determine the Fundamental Subspaces of a Matrix (2 by 3)
This video explains how to determine the 4 fundamental subspaces of a matrix.
From playlist Fundamental Subspaces of a Matrix
Lindbladians with multiple steady states: theory and (...) - V. Albert - Workshop 2 - CEB T2 2018
Victor Albert (Caltech) / 05.06.2018 Lindbladians with multiple steady states: theory and applications Markovian master equations, often called Liouvillians or Lindbladians, are used to describe decay and decoherence of a quantum system induced by that system's environment. While a natur
From playlist 2018 - T2 - Measurement and Control of Quantum Systems: Theory and Experiments
What's a subspace of a vector space? How do we check if a subset is a subspace?
From playlist Linear Algebra
Classic linear algebra exercise: the union of a subspace is a subspace if and only if one is contained in the other. This is also good practice with the definition of a subspace, and also shows how to prove statements of the form p implies (q or r) Check out my vector space playlist: http
From playlist Vector Spaces
Achieving the Heisenberg limit in quantum metrology (...) - L. Jiang - Workshop 1 - CEB T2 2018
Liang Jiang (Univ. Yale) / 16.05.2018 Achieving the Heisenberg limit in quantum metrology using quantum error correction Quantum metrology has many important applications in science and technology, ranging from frequency spectroscopy to gravitational wave detection. Quantum mechanics imp
From playlist 2018 - T2 - Measurement and Control of Quantum Systems: Theory and Experiments
Neural networks discovering quantum error (...) - F. Marquardt - PRACQSYS 2018 - CEB T2 2018
Florian Marquardt (Max Planck Institute for the Science of Light, Erlangen, Germany & Physics Department, University of Erlangen-Nuremberg, Erlangen, Germany) / 02.07.2018 Neural networks discovering quantum error correction strategies from scratch Suppose you are given a set of a few qu
From playlist 2018 - T2 - Measurement and Control of Quantum Systems: Theory and Experiments
Quantum Transport, Lecture 11: Quantum Bits
Instructor: Sergey Frolov, University of Pittsburgh, Spring 2013 http://sergeyfrolov.wordpress.com/ Summary: DiVincenzo criteria for hardware design of quantum bits, Rabi, Ramsey, spin echo experiments, candidate quantum bit systems. Quantum Transport course development supported in part b
From playlist Quantum Transport
What is quantum mechanics? A minimal formulation (Seminar) by Pierre Hohenberg
29 December 2017 VENUE : Ramanujan Lecture Hall, ICTS , Bangalore This talk asks why the interpretation of quantum mechanics, in contrast to classical mechanics is still a subject of controversy, and presents a 'minimal formulation' modeled on a formulation of classical mechanics. In bot
From playlist US-India Advanced Studies Institute: Classical and Quantum Information
A high-fidelity, quantum-control-tuned gate set for (...) - H. Bluhm - PRACQSYS 2018 - CEB T2 2018
Hendrik Bluhm (JARA-Institute for Quantum Information, RWTH Aachen University, Aachen, Germany) / 02.07.2018 A high-fidelity, quantum-control-tuned gate set for single-triplet spin qubits Singlet-triplet qubits use the collective spin state of two electrons to encode a single qubit, whic
From playlist 2018 - T2 - Measurement and Control of Quantum Systems: Theory and Experiments
Session 1 - Bulk Locality and Quantum Error Correction in AdS/CFT: Daniel Harlow
https://strings2015.icts.res.in/talkTitles.php
From playlist Strings 2015 conference
23 - More examples of subspaces
Algebra 1M - international Course no. 104016 Dr. Aviv Censor Technion - International school of engineering
From playlist Algebra 1M
Autonomous quantum thermal machines : (...) - G. Haack - Workshop 2 - CEB T2 2018
Géraldine Haack (Univ. Genève) / 05.06.2018 Autonomous quantum thermal machines: How purely dissipative processes can be exploited to generate entanglement Entanglement is a key phenomenon distinguishing quantum from classical physics, and is a paradigmatic resource enabling many applica
From playlist 2018 - T2 - Measurement and Control of Quantum Systems: Theory and Experiments
Subspaces of a vector space. Sums and direct sums.
From playlist Linear Algebra Done Right