PPT-Random Quantum Circuits are Unitary Polynomial-Designs

Fernando GSL Brand ão 1 Aram Harrow 2 Michal Horodecki 3 Universidade Federal de Minas Gerais Brazil University of Washington USA 3 Gdansk University Poland IQC November 2011. with a . Scala. Embedded . Language. Xiao Liu and . John . Kubiatowicz. Computer Science Division. University of California, Berkeley. Email: {. xliu. , . kubitron. }@eecs.berkeley.edu. Why Quantum Computers?. Challenges and Opportunities. Fernando . G.S.L. . Brand. ão. Universidade. Federal de Minas . Gerais. , Brazil. Based on joint work with. M. . Christandl. , A. Harrow, M. . Horodecki. , J. Yard. PI, 02/11/2011. k. -Designs. Fernando . G.S.L. . Brand. ão. . UCL. Joint work with. Aram Harrow . and . Michal . Horodecki. arXiv:1208.0692. IMS, September 2013. Dynamical Equilibration. State at time . t. :. Dynamical Equilibration. Inner product preserving. V, W inner product spaces over F in R or C. . T:V -> W. . T . preserves inner products . if (. Ta|Tb. ) = (. a|b. ) for all a, b in V. . An isomorphism of V to W is a vector space isomorphism T:V -> W preserving inner products. . Omar Fawzi (ETH Zürich). Joint work with Winton Brown (University College London). S. Random . unitaries. Encoding for almost any quantum information transmission problem . Entanglement generation. Thermalization. Dan Castillo. A Brief . H. istory of Knots. (1860’s). Lord Kelvin: . quantum vortices?. Let’s tabulate them just in case. First . table of knots by Peter . Tait. Aye aye!. Mathematical Study of Knots. Maksims Dimitrijevs. ,. Abuzer Yakaryılmaz. University of Latvia. Faculty of computing. PhD program student. Introduction. 2DFAs, 2NFAs and even 2AFAs can recognize only regular languages. . Rūsiņš . Making Systems Simple! . A Guide to Understanding Systems of Government . First things First. PowerPoint ID . Describe the diagrams on the following slides – you can use complete sentences or just descriptive words. . Governments. So why do we need governments anyways? . Turn and discuss this question with your elbow partner.. Governments. All countries require governments to function.. Governments provide laws, structure, public services, and national defense.. Alper Sarikaya. Advised by Prof. Dave Bacon. Computer Science & Engineering. Chemistry. University of Washington. Undergraduate Research Symposium. May 15, . 2009. Quantum Computing Theory Group: . Activator. Essential Question:. How are series and parallel circuits similar and different in how they transfer energy. ?. Standard:. S8P5b. . Demonstrate the advantages and disadvantages of series and parallel circuits and how they transfer energy. ” Workshop is to discuss theoretical and experimental hot issues related to quantum physics, from foundational issues (such as findings and ideas to investigate quantum effects in biological systems. The Workshop is supported by . Jordan Cotler. Harvard Society of Fellows. 2101.04634 [. Aharonov. , Cotler, Qi]. Introduction: what is an experiment?. Measuring constants of nature (speed of light, charge of electron). Quantifying dynamical properties (rate of a chemical reaction). Part 1. Outline. Introduction. Problems of classical physics. Black-body Radiation. experimental observations. Wien’s displacement law. Stefan – Boltzmann law. Rayleigh - Jeans. Wien’s radiation law.