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
- In Class Tablet Generated Lecture 1 Notes (2010-05-11-Note-13-36.pdf)
- Typed Version of Lecture 1 Notes (PDF and LaTeX)
Applications of Categories, Bra-ket Duality, GHZ- and W-States
- In Class Tablet Generated Lecture 2 Notes (2010-05-13-Note-13-17.pdf)
- Typed Version of Lecture 2 Notes (PDF and LaTeX)
- Mathematica files for the SVD of GHZ- and W-states. GHZ (PDF and code); W (PDF and code)
Stabiliser Formalism, Clifford Groups, Frobenious Algebras, Solution of the 1D Cluster Model
- In Class Tablet Generated Lecture 3 Notes (2010-05-18-Note-12-58.pdf)
Stabiliser Theory for Frobenious Algebras, Duality: Composition of
States, AND-states, Phase-states, Lattice Spin Models, (Classical)
Ground State Logic Gates
- In Class Tablet Generated Lecture 4 Notes (2010-05-20-Note-12-49.pdf)
String Diagrams, Mermin Paradox, GHZ- vs. W-states, Quantum Complexity Theory and Lattice Spin Models
- Lecture 5 was done in a tutorial like fashion
- Diagramatic Summary: (PDF)
MATLAB Quantum Simulation Practical: Solution of the Schrodinger equation in bound potentials, simulation of the FMO complex
- Interactive tutorials and videos can be found at Mathworks.com here - Many other tutorials can be found on youtube, such as this one.
- Example code I: Schrodinger.m
- PDF explaining the FMO simulation (PDF and LaTeX) - Example code II: (FMO.m and plot file: BChl1.ps)
Diagramatics for Tensors, The Algebra of State Compostion, Bi-Algebras, Tensor Network States
- In Class Generated Lecture 7 Notes (File)
- Supplementary reading: Fault Tolerance in the Categorical Quantum Circuit Model (PDF and XJO)
Spin Lattice Models, Correlations, Quantum Phase Transitions, Tensor Network Simulations
- Lecture 8 Slides (PDF) - Stephen Clark
- See background slides by Dieter Jaksch (PPT and PDF)
Approximation of Stationary States and Time-Evolution, The Area Law, Evolution of Mixed States, Thermal States and Operators
- Lecture 9 Slides (PDF) - Stephen Clark
Bell’s Inequalities (CHSH), Hidden Variable Theories, Quantum Cryptography
Quantum Many-body Entanglement - Vlatko Vedral
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