In quantum mechanics, and especially quantum information and the study of open quantum systems, the trace distance T is a metric on the space of density matrices and gives a measure of the distinguishability between two states. It is the quantum generalization of the Kolmogorov distance for classical probability distributions. (Wikipedia).
This video show how to use the distance formula to determine the distance between two points. It also shows how it is derived from the Pythagorean theorem. http://mathispower4u.yolasite.com/
From playlist Using the Distance Formula / Midpoint Formula
Example: Determine the Distance Between Two Points
This video shows an example of determining the length of a segment on the coordinate plane by using the distance formula. Complete Video List: http://www.mathispower4u.yolasite.com or http://www.mathispower4u.wordpress.com
From playlist Using the Distance Formula / Midpoint Formula
Determine the distance between two points using distance formula ex 1, A(3, 2) and B(6, 3)
👉 Learn how to find the distance between two points. The distance between two points is the length of the line joining the two points in the coordinate plane. To find the distance between two points in the coordinate plane, we make use of the formula d = sqrt((x2 - x1)^2 + (y2 - y1)^2). 👏
From playlist Find the Distance of the Line Segment
Determine the distance of two points on a number line
👉 Learn how to find the distance between two points. The distance between two points is the length of the line joining the two points in the coordinate plane. To find the distance between two points in the coordinate plane, we make use of the formula d = sqrt((x2 - x1)^2 + (y2 - y1)^2). 👏
From playlist Find the Distance of the Line Segment
Learn to use the distance formula to find the distance between two points
👉 Learn how to find the distance between two points. The distance between two points is the length of the line joining the two points in the coordinate plane. To find the distance between two points in the coordinate plane, we make use of the formula d = sqrt((x2 - x1)^2 + (y2 - y1)^2). 👏
From playlist Find the Distance of the Line Segment
Applying the distance formula to find the distance between two points
👉 Learn how to find the distance between two points. The distance between two points is the length of the line joining the two points in the coordinate plane. To find the distance between two points in the coordinate plane, we make use of the formula d = sqrt((x2 - x1)^2 + (y2 - y1)^2). 👏
From playlist Find the Distance of the Line Segment
Determine the distance between two points on a coordinate axis
👉 Learn how to find the distance between two points. The distance between two points is the length of the line joining the two points in the coordinate plane. To find the distance between two points in the coordinate plane, we make use of the formula d = sqrt((x2 - x1)^2 + (y2 - y1)^2). 👏
From playlist Find the Distance of the Line Segment
Using the distance formula to determine the distance between two coordinate points
👉 Learn how to find the distance between two points. The distance between two points is the length of the line joining the two points in the coordinate plane. To find the distance between two points in the coordinate plane, we make use of the formula d = sqrt((x2 - x1)^2 + (y2 - y1)^2). 👏
From playlist Find the Distance of the Line Segment
Find the distance between the two coordinate points ex 1
👉 Learn how to find the distance between two points. The distance between two points is the length of the line joining the two points in the coordinate plane. To find the distance between two points in the coordinate plane, we make use of the formula d = sqrt((x2 - x1)^2 + (y2 - y1)^2). 👏
From playlist Find the Distance of the Line Segment
Anna Vershynina: "Quasi-relative entropy: the closest separable state & reversed Pinsker inequality"
Entropy Inequalities, Quantum Information and Quantum Physics 2021 "Quasi-relative entropy: the closest separable state and the reversed Pinsker inequality" Anna Vershynina - University of Houston Abstract: It is well known that for pure states the relative entropy of entanglement is equ
From playlist Entropy Inequalities, Quantum Information and Quantum Physics 2021
Giacomo De Palma: "The quantum Wasserstein distance of order 1"
Entropy Inequalities, Quantum Information and Quantum Physics 2021 "The quantum Wasserstein distance of order 1" Giacomo De Palma - Massachusetts Institute of Technology, Research Laboratory of Electronics Abstract: We propose a generalization of the Wasserstein distance of order 1 to th
From playlist Entropy Inequalities, Quantum Information and Quantum Physics 2021
34. Distance Matrices, Procrustes Problem
MIT 18.065 Matrix Methods in Data Analysis, Signal Processing, and Machine Learning, Spring 2018 Instructor: Gilbert Strang View the complete course: https://ocw.mit.edu/18-065S18 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP63oMNUHXqIUcrkS2PivhN3k This lecture conti
From playlist MIT 18.065 Matrix Methods in Data Analysis, Signal Processing, and Machine Learning, Spring 2018
Asymptotic properties of random quantum states and channels - Z.Puchała - Workshop 2 - CEB T3 2017
Zbigniew Puchała / 21.10.17 Asymptotic properties of random quantum states and channels Properties of random mixed states of dimension N distributed uniformly with respect to the Hilbert-Schmidt measure are investigated. We show that for large N, due to the concentration of measure pheno
From playlist 2017 - T3 - Analysis in Quantum Information Theory - CEB Trimester
Workshop 1 "Operator Algebras and Quantum Information Theory" - CEB T3 2017 - D.Farenick
Douglas Farenick (University of Toronto) / 13.09.17 Title: Isometric and Contractive of Channels Relative to the Bures Metric Abstract:In a unital C*-algebra A possessing a faithful trace, the density operators in A are those positive elements of unit trace, and the set of all density el
From playlist 2017 - T3 - Analysis in Quantum Information Theory - CEB Trimester
Seminar In the Analysis and Methods of PDE (SIAM PDE): François Golse
Title: Quantum Dynamics and Optimal Transport Date: Thursday, February 3, 2022, 11:30 am ET Speaker: François Golse, École polytechnique, France Abstract: In 1979, Dobrushin explained how Monge’s theory of optimal transport (1781) can be used to prove the mean-field limit for the classica
From playlist Seminar In the Analysis and Methods of PDE (SIAM PDE)
Ray Tracing Virtual Objects with a Diverging Lens - Virtual Image
In this video, I describe how to find the image location and magnification when we have a virtual object imaged by a diverging lens, and how to do the ray tracing in that situation. To support the creation of videos like these, get early access, access to a community, behind-the scenes a
From playlist Geometric Optics
Concentration of quantum states from quantum functional (...) - N. Datta - Workshop 2 - CEB T3 2017
Nilanjana Datta / 24.10.17 Concentration of quantum states from quantum functional and transportation cost inequalities Quantum functional inequalities (e.g. the logarithmic Sobolev- and Poincaré inequalities) have found widespread application in the study of the behavior of primitive q
From playlist 2017 - T3 - Analysis in Quantum Information Theory - CEB Trimester
Locus of a Parabola (3 of 3: Animating the Locus)
More resources available at www.misterwootube.com
From playlist Further Work with Functions (related content)
A Non-Commutative Analog of the Metric for which the... Gradient Flow for the Entropy - Eric Carlen
Eric Carlen Rutgers, The State University of New Jersey November 13, 2012 The Fermionic Fokker-Planck equation is a quantum-mechanical analog of the classical Fokker-Planck equation with which it has much in common, such as the same optimal hypercontractivity properties. In this paper we
From playlist Mathematics
Using the distance formula to find the distance between two points
👉 Learn how to find the distance between two points. The distance between two points is the length of the line joining the two points in the coordinate plane. To find the distance between two points in the coordinate plane, we make use of the formula d = sqrt((x2 - x1)^2 + (y2 - y1)^2). 👏
From playlist Find the Distance of the Line Segment