Lectures on Topological Codes and Quantum Computation

A short introductory lecture course on Topological Codes and Quantum Computation delivered at the University of Innsbruck in May and June 2014.

The syllabus, lecture notes and problem sheets will be available as attachments to this page.

This page can be accessed via the short-url: bit.do/topological

Lecture Schedule (To be confirmed)

Tuesday, May 13 IQOQI 10:00 – 12:00

Wednesday, May 14 ITP SR 2/36 10:00 – 12:00

Monday, May 19 IQOQI 14:30 – 16:30

Monday, May 26 IQOQI 14:00 – 16:00 Please note earlier start time

Wednesday, May 28 ITP SR 2/36 10:00 – 12:00

Monday, June 2 IQOQI 14:30 – 16:30

Wednesday, June 4 ITP SR 2/36 10:00 – 12:00

Tuesday, June 10 IQOQI 10:00 – 12:00 Since Monday is a holiday

Further Reading / Bibliography

Syllabus (updated)

Lecture notes

Part 1 - Quantum Error Correction and The Stabilizer Formalism (Revision)

Part 2 - The Toric Code

Part 3 - Elements of Topology and Homology

Part 4 - Topological Codes from Homology - and introduction of Planar Surface Codes

Part 5 - Elements of Fault Tolerant Quantum Computation with Planar Surface Codes

Full notes

Problem Sheets

Problem Sheet 1 Stabilizer codes

Problem Sheet 2 The Toric Code: Errors and Decoders

Problem Sheet 3 Topology and Homology