University of Oxford Logo University of OxfordDepartment of Computer Science - Home
Linked in
Linked in
Follow us on twitter
Twitter
On Facebook
Facebook
Instagram
Instagram
THE QUANTUM THEORY OF INFORMATION AND COMPUTATION

THE QUANTUM THEORY OF INFORMATION AND COMPUTATION

Weeks 3-8, Trinity Term 2010, http://www.comlab.ox.ac.uk/activities/quantum/course/


Course Notes

Most of the lectures will be given using a projector and a Tablet PC - impromptu lecture notes will be made available as PDF files afterwards.   To read and print them you will need to have installed Adobe Acrobat Reader, which can be downloaded free.

Mathematical formulation, Quantum Circuits as String Diagrams, Bell's Inequality

Applications of Categories, Bra-ket Duality, GHZ- and W-States

Stabiliser Formalism, Clifford Groups, Frobenious Algebras, Solution of the 1D Cluster Model

Stabiliser Theory for Frobenious Algebras, Duality: Composition of States, AND-states, Phase-states, Lattice Spin Models, (Classical) Ground State Logic Gates

String Diagrams, Mermin Paradox, GHZ- vs. W-states, Quantum Complexity Theory and Lattice Spin Models

MATLAB Quantum Simulation Practical: Solution of the Schrodinger equation in bound potentials, simulation of the FMO complex

Diagramatics for Tensors, The Algebra of State Compostion,  Bi-Algebras, Tensor Network States 

Spin Lattice Models, Correlations, Quantum Phase Transitions, Tensor Network Simulations

Approximation of Stationary States and Time-Evolution, The Area Law, Evolution of Mixed States, Thermal States and Operators

Bell’s Inequalities (CHSH), Hidden Variable Theories, Quantum Cryptography

Quantum Many-body Entanglement - Vlatko Vedral


This page was last updated
May 2010
by
JD Biamonte