Course

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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
Quantum Error Correction 2B

Daniel Gottesman University of Maryland, College Park

January 16, 2007

PIRSA:07010021
Quantum Error Correction 2A

Daniel Gottesman University of Maryland, College Park

January 16, 2007

PIRSA:07010020
Graduate Course on Standard Model & Quantum Field Theory - 9B

Cliff Burgess McMaster University

January 10, 2007

PIRSA:07010017
Graduate Course on Standard Model & Quantum Field Theory - 9A

Cliff Burgess McMaster University

January 10, 2007

PIRSA:07010016
Quantum Error Correction 1B

Daniel Gottesman University of Maryland, College Park

January 09, 2007

PIRSA:07010015
Quantum Error Correction 1A

Daniel Gottesman University of Maryland, College Park

January 09, 2007

PIRSA:07010014
Introduction to Quantum Information and Computation from a Foundational Standpoint

Jeffrey Bub University of Maryland, College Park

December 11, 2006

PIRSA:06120048

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.
Quantum Error Correction 2B

Daniel Gottesman University of Maryland, College Park

January 16, 2007

PIRSA:07010021

5-qubit code, logical Pauli group for stabilizer codes, classical linear codes (generator and parity check matrices, Hamming codes), CSS codes (definition, 7-qubit code)
Quantum Error Correction 2A

Daniel Gottesman University of Maryland, College Park

January 16, 2007

PIRSA:07010020

Stabilizer codes (definition of stabilizer, basic properties of stabilizer, binary vector representation of stabilizer)
Graduate Course on Standard Model & Quantum Field Theory - 9B

Cliff Burgess McMaster University

January 10, 2007

PIRSA:07010017

Graduate Course on Standard Model & Quantum Field Theory
Graduate Course on Standard Model & Quantum Field Theory - 9A

Cliff Burgess McMaster University

January 10, 2007

PIRSA:07010016

Graduate Course on Standard Model & Quantum Field Theory
Quantum Error Correction 1B

Daniel Gottesman University of Maryland, College Park

January 09, 2007

PIRSA:07010015

9-qubit Shor code, definition of a quantum error-correcting code, correcting linear combinations of errors, quantum error correction conditions, definition of distance
Quantum Error Correction 1A

Daniel Gottesman University of Maryland, College Park

January 09, 2007

PIRSA:07010014

Administrative introduction, quantum operations, examples of quantum channels, quantum code correcting bit flip errors, quantum code correcting phase errors
Introduction to Quantum Information and Computation from a Foundational Standpoint

Jeffrey Bub University of Maryland, College Park

December 11, 2006

PIRSA:06120048

Title	Speaker(s)	Date	Talk Type	Info link
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
Quantum Error Correction 2B	Daniel Gottesman	2007-01-16	Course	View details
Quantum Error Correction 2A	Daniel Gottesman	2007-01-16	Course	View details
Graduate Course on Standard Model & Quantum Field Theory - 9B	Cliff Burgess	2007-01-10	Course	View details
Graduate Course on Standard Model & Quantum Field Theory - 9A	Cliff Burgess	2007-01-10	Course	View details
Quantum Error Correction 1B	Daniel Gottesman	2007-01-09	Course	View details
Quantum Error Correction 1A	Daniel Gottesman	2007-01-09	Course	View details
Introduction to Quantum Information and Computation from a Foundational Standpoint	Jeffrey Bub	2006-12-11	Course	View details

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Format results

Quantum Error Correction 3B

Quantum Error Correction 3A

Introduction to quantum groups 3

Introduction to quantum groups 2

Introduction to quantum groups 1

Quantum Error Correction 2B

Quantum Error Correction 2A

Graduate Course on Standard Model & Quantum Field Theory - 9B

Graduate Course on Standard Model & Quantum Field Theory - 9A

Quantum Error Correction 1B

Quantum Error Correction 1A

Introduction to Quantum Information and Computation from a Foundational Standpoint

Quantum Error Correction 3B

Quantum Error Correction 3A

Introduction to quantum groups 3

Introduction to quantum groups 2

Introduction to quantum groups 1

Quantum Error Correction 2B

Quantum Error Correction 2A

Graduate Course on Standard Model & Quantum Field Theory - 9B

Graduate Course on Standard Model & Quantum Field Theory - 9A

Quantum Error Correction 1B

Quantum Error Correction 1A

Introduction to Quantum Information and Computation from a Foundational Standpoint