Course

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Graduate Course on Standard Model & Quantum Field Theory - 11A

Cliff Burgess McMaster University

January 31, 2007
PIRSA:07010039
Quantum Error Correction 4B

Daniel Gottesman University of Maryland, College Park

January 30, 2007
PIRSA:07010025
Quantum Error Correction 4A

Raymond Laflamme Institute for Quantum Computing (IQC)

January 30, 2007
PIRSA:07010024
Introduction to quantum groups 5

Florian Koch Ludwig-Maximilians-Universitiät München (LMU)

January 26, 2007
PIRSA:07010031
Introduction to quantum groups 4

Florian Koch Ludwig-Maximilians-Universitiät München (LMU)

January 25, 2007
PIRSA:07010030
Graduate Course on Standard Model & Quantum Field Theory - 10B

Cliff Burgess McMaster University

January 24, 2007
PIRSA:07010037
Graduate Course on Standard Model & Quantum Field Theory - 10A

Cliff Burgess McMaster University

January 24, 2007
PIRSA:07010036
Quantum Error Correction 3B

Daniel Gottesman University of Maryland, College Park

January 23, 2007
PIRSA:07010023
Quantum Error Correction 3A

Daniel Gottesman University of Maryland, College Park

January 23, 2007
PIRSA:07010022
Introduction to quantum groups 3

Florian Koch Ludwig-Maximilians-Universitiät München (LMU)

January 22, 2007
PIRSA:07010029
Introduction to quantum groups 2

Florian Koch Ludwig-Maximilians-Universitiät München (LMU)

January 19, 2007
PIRSA:07010028
Introduction to quantum groups 1

Florian Koch Ludwig-Maximilians-Universitiät München (LMU)

January 18, 2007
PIRSA:07010027

Graduate Course on Standard Model & Quantum Field Theory - 11A

Cliff Burgess McMaster University

January 31, 2007
PIRSA:07010039

Graduate Course on Standard Model & Quantum Field Theory
Quantum Error Correction 4B

Daniel Gottesman University of Maryland, College Park

January 30, 2007
PIRSA:07010025

Guest lecturer Robert Raussendorf: graph states
Quantum Error Correction 4A

Raymond Laflamme Institute for Quantum Computing (IQC)

January 30, 2007
PIRSA:07010024

Guest lecturer Raymond Laflamme: experimental quantum error correction
Introduction to quantum groups 5

Florian Koch Ludwig-Maximilians-Universitiät München (LMU)

January 26, 2007
PIRSA:07010031

Quantum Groups in Physics. With the gained background we want to review known quantum groups that became relevant in physics. Especially q-Deformation, kappa-Poincare- and theta-Poincare-Algebras are discussed.
Introduction to quantum groups 4

Florian Koch Ludwig-Maximilians-Universitiät München (LMU)

January 25, 2007
PIRSA:07010030

This is the central unit of the course - we quantize universal enveloping algebras and their duals. Central discussion is the fact that for the first type of Hopf-algebras the deformation of the coproduct is sufficient and for the second type it is the dual multiplication. This motivates the way quantization is performed in particular and how this gives rise for noncommutativity for the module and comodule spaces that are so interesting for physics. Currently most popular way to quantize universal enveloping algebras is the twisting according to Drinfeld. We discuss how and why this is such a good concept.
Graduate Course on Standard Model & Quantum Field Theory - 10B

Cliff Burgess McMaster University

January 24, 2007
PIRSA:07010037

Graduate Course on Standard Model & Quantum Field Theory
Graduate Course on Standard Model & Quantum Field Theory - 10A

Cliff Burgess McMaster University

January 24, 2007
PIRSA:07010036

Graduate Course on Standard Model & Quantum Field Theory
Quantum Error Correction 3B

Daniel Gottesman University of Maryland, College Park

January 23, 2007
PIRSA:07010023

Clifford group as symplectic group, generators of the Clifford group & encoding circuits for stabilizer codes, efficient simulation of Clifford group circuits, efficient simulation of Pauli measurements
Quantum Error Correction 3A

Daniel Gottesman University of Maryland, College Park

January 23, 2007
PIRSA:07010022

Finite field GF(4), stabilizer codes as GF(4) codes, perfect quantum codes, definition of Clifford group, sample elements of Clifford group
Introduction to quantum groups 3

Florian Koch Ludwig-Maximilians-Universitiät München (LMU)

January 22, 2007
PIRSA:07010029

Universal Enveloping Algebras and dual Algebras of Functions The two most relevant types of Hopf-algebras for applications in physics are discussed in this unit. Most central notion will be their duality and representation.
Motivation: From Quantum Mechanics to Quantum GroupsThe notion of 'quantization' commonly used in textbooks of quantum mechanics has to be specified in order to turn it into a defined mathematical operation. We discuss that on the trails of Weyl's phase space deformation, i.e. we introduce the Weyl-Moyal starproduct and the deformation of Poisson-manifolds. Generalizing from this, we understand, why Hopf-algebras are the most genuine way to apply 'quantization' to various other algebraic objects - and why this has direct physical applications.
Introduction to quantum groups 2

Florian Koch Ludwig-Maximilians-Universitiät München (LMU)

January 19, 2007
PIRSA:07010028

Hopf-Algebras and their Representations In order to consolidate the above motivation, we have to introduce Hopf-algebras on a mathematical footing. We define Hopf-algebras, discuss duality and especially we will have a closer look at the question why coproducts induce a multiplication on the dual algebra but not the other why around. With these preparations we close this unit by the discussion of representations and corepresentations - and how these are related for dual Hopf-algebras.
Introduction to quantum groups 1

Florian Koch Ludwig-Maximilians-Universitiät München (LMU)

January 18, 2007
PIRSA:07010027

Motivation: From Quantum Mechanics to Quantum Groups The notion of 'quantization' commonly used in textbooks of quantum mechanics has to be specified in order to turn it into a defined mathematical operation. We discuss that on the trails of Weyl's phase space deformation, i.e. we introduce the Weyl-Moyal starproduct and the deformation of Poisson-manifolds. Generalizing from this, we understand, why Hopf-algebras are the most genuine way to apply 'quantization' to various other algebraic objects - and why this has direct physical applications.

Title	Speaker(s)	Date	Talk Type	Info link
Graduate Course on Standard Model & Quantum Field Theory - 11A	Cliff Burgess	2007-01-31	Course	View details
Quantum Error Correction 4B	Daniel Gottesman	2007-01-30	Course	View details
Quantum Error Correction 4A	Raymond Laflamme	2007-01-30	Course	View details
Introduction to quantum groups 5	Florian Koch	2007-01-26	Course	View details
Introduction to quantum groups 4	Florian Koch	2007-01-25	Course	View details
Graduate Course on Standard Model & Quantum Field Theory - 10B	Cliff Burgess	2007-01-24	Course	View details
Graduate Course on Standard Model & Quantum Field Theory - 10A	Cliff Burgess	2007-01-24	Course	View details
Quantum Error Correction 3B	Daniel Gottesman	2007-01-23	Course	View details
Quantum Error Correction 3A	Daniel Gottesman	2007-01-23	Course	View details
Introduction to quantum groups 3	Florian Koch	2007-01-22	Course	View details
Introduction to quantum groups 2	Florian Koch	2007-01-19	Course	View details
Introduction to quantum groups 1	Florian Koch	2007-01-18	Course	View details

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