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THE QUANTUM THEORY OF INFORMATION AND COMPUTATION

A SECOND COURSE IN

THE QUANTUM THEORY OF INFORMATION AND COMPUTATION

Weeks 3-8, Trinity Term 2010

Lectures by: Jacob Biamonte, Stephen Clark, Mark Williamson and Vlatko Vedral

Problems class tutor: Shane Mansfield

Tuesday and Thursday

Interdepartmental Reading course suitable for research students in the Mathematical and Physical Science Division.

spinning qubit

Problem Sheets
(and Warmup Sheet)
Lecture Notes
Course Flyer (PDF)
 

Aims and Objectives

Quantum theory has become a multidisciplinary field, with each sub-field using their own notation and techniques to solve problems that apriori appear different.   By unveiling common underlining structure and by providing a uniting notation and language, this course will follow the spirit of  Oxford Style Quantum Theory

Assuming minimal prior background, our focus is to introduce the basic connections between information, computation, and condensed matter physics.  In simple terms and by building on fully worked examples, those attending will be exposed to a higher mathematical language which will help bridge the gap between an introductory quantum information processing course and what's needed to read current literature.  
 

Recommended Prerequisites

Any introductory course covering basic aspects of quantum information will do, in particular, any one of:

Practicals

There will be one practical in week 5 providing a hands on introduction to using Matlab to solve Schrodinger's wave equation. 

Synopsis

Mathematical formulation of qubit quantum theory, Quantum Circuits as String Diagrams, basic applications of Lie algebras and Lie groups

Hamiltonian Models of Quantum Computation, Quantum Channels, Entanglement, Applications of Categories, Stabiliser Formalism, GHZ states

Quantum Complexity Theory, Lattice Models, Integrable Systems, Duality Transformations as String Diagrams, Open Quantum Systems

Theory of methods to simulate quantum systems, Variational Methods, introduction to DMRG and Tensor Network States 

Quantum Algorithms to Simulate Physics and Chemistry, Adiabatic and Ground State Computing
 

Reading

Lecture notes which cover the course and provide detailed pointers to additional reading will be made available. Standard books on the subject that might be of use are:
Popular Book

Date, Time and Venue

In TT 2010 these lectures will be held in (see the google map to Lecture Theatre B, Comlab):

Day Week Term Date
Time Room Lectures by
Tuesday Trinity  5/11
13:00-14:00
Lecture Theatre B, Comlab Biamonte
Thursday  3 Trinity  5/13
13:00-14:00 Lecture Theatre B, Comlab
Biamonte
Tuesday  4
Trinity  5/18
13:00-14:00 Lecture Theatre B, Comlab Biamonte
Thursday  Trinity  5/20
13:00-14:00 Lecture Theatre B, Comlab Biamonte
Tuesday  5 Trinity  5/25
13:10-14:30
Office Hours, 216 Comlab
Biamonte
Thursday  Trinity  5/27
13:00-14:30
379 Comlab
MATLAB Practical
Tuesday  6 Trinity  6/1
13:00-14:00 Lecture Theatre B, Comlab Biamonte
Thursday  Trinity  6/3
13:00-14:00 Lecture Theatre B, Comlab Clark
Tuesday  Trinity  6/8
13:00-14:00 Lecture Theatre B, Comlab Clark
Thursday  Trinity  6/10
13:00-14:00 Lecture Theatre A, Comlab
Williamson
Tuesday  Trinity  6/15
13:00-14:00
Lecture Theatre B, Comlab Vedral
Thursday  Trinity  7/6
14:00-15:00 Lecture Theatre B, Comlab Biamonte
TBD
9
Trinity
7/8
TBD
Lecture Theatre B, Comlab Project Presentations





This page was last updated
May 2010
by
JD Biamonte