Is it possible to deduce the shape of the universe without stepping outside of it? Henri Poincaré thought so. Similar to how the Greeks were able to discern the spherical nature of the earth (and even its rough diameter) using mathematics, he proposed that we should be able to make conclusions about our universe. Stanford University mathematician Keith Devlin explains the Poincaré Conjecture, which became a legendary problem in mathematics, with the help of a short animation. Watch the Full Program Here: https://youtu.be/_PnnzB-1LcI Original Program Date: June 3, 2011 The World Science Festival gathers great minds in science and the arts to produce live and digital content that allows a broad general audience to engage with scientific discoveries. Our mission is to cultivate a general public informed by science, inspired by its wonder, convinced of its value, and prepared to engage with its implications for the future. Subscribe to our YouTube Channel for all the latest from WSF. Visit our Website: http://www.worldsciencefestival.com/ Like us on Facebook: https://www.facebook.com/worldsciencefestival Follow us on twitter: https://twitter.com/WorldSciFest
Просмотров: 32985 World Science Festival
Description: A visualization of a Quantum bit (Qubit) and several Quantum gates using a Bloch Sphere. Quantum gates are transformations to a qubit. These transformations are visualized through rotations of a globe. A globe is used for easy understanding of 'north' (0) and 'south' (1) pole of the sphere. This visualization includes an easy to use visual interface. Gates available are: Hadamard (H), Pauli X, Y, and Z, Phase Shift (S), Pi/8, and Square Root Not. Created By: Tyler Dwyer Creation Date: February, 2014 Contact: email@example.com Language: Python Source code available at: www.TylerDwyer.com
Просмотров: 11024 Tyler Dwyer
Short talks by postdoctoral members Topic: Analyticity results for the Euler and Navier-Stokes equations Speaker: Guher Camliyurt Affiliation: University of Southern California; Member, School of Mathematics Date: September 25, 2018 For more video please visit http://video.ias.edu
Просмотров: 792 Institute for Advanced Study
Résumé This talk will discuss some of Poincaré's many fundamental contributions to topology and their influence on future developments. Note(s) Biographique(s) David Gabai est mathématicien à l'Université de Princeton ou il a passé en 1980 sa thèse. Ses recherches se concentrent sur la topologie de basse dimension et la géométrie hyperbolique. Il a reçu en 2004 le prix Oswald Veblen en géométrie. Réalisation : Quentin Lazzarotto Date : 20/11/2012 Lieu : Institut Henri Poincaré
Просмотров: 473 Institut Henri Poincaré
- By: Claudia Benedetti, Università degli Studi di Milano, Italy - Date: 2014-06-11 14:30:00 - Description: In this talk I consider a qubit system coupled to a stochastic classical field characterized by a spectrum and address the decoherence and non-Markovianity induced by the external noise as well as the spectral characterization of the classical field by quantum-limited measurement on the qubit. The unavoidable interaction of quantum systems with their complex environments usually destroys its coherence and quantumness. The fragile quantum information encoded in an open quantum system is lost due to the presence of the environment that continuously monitor the system. Decoherence may be induced by classical or quantum bath. The classical description becomes progressively more reliable as far as the environment has many degrees of freedom or when the interaction between a quantum system and a classical fluctuating field is taken into account. I thus analyze the dynamics of quantum correlations for two non-interacting qubits initially prepared in maximally entangled state and interacting with a classical colored noise generated by non-Gaussian processes. I also discuss the evaluation of non-Markovianity, in the sense of information backflow, of the induced dynamical map. The precise characterization of the stochastic process generating the classical noise, possibly using minimal resources, is a crucial ingredient for the design of high-precision measurements and reliable communication protocols. To this purpose, I also address the characterization of the spectral parameters of classical noise by quantum probes, e.g. a qubit. I consider a system coupled to the stochastic process generating the noise and explore the performances of quantum measurements on the qubit to extract information about the spectral properties of the noise.
10/15/2015 From cybernetics to systems theory to present-day parametricism, organization has haunted the architectural imagination. Today, many debates about design practice center on data. Given the pervasiveness of information in the material, spatial, formal, and programmatic forms of organization that today’s designer must confront—in objects, networks, and genealogies—the obsession with data is hardly surprising. But data has no intrinsic bearing on the architectural process or its products. It is; how data is organized—acquired, quantified, represented, processed, and manipulated—is what differentiates design outcomes.
Просмотров: 2551 Harvard GSD