This is part of the Understanding Quantum Information & Computation series. Watch the full playlist here: https://www.youtube.com/playlist?list=PLOFEBzvs-VvqKKMXX4vbi4EB1uaErFMSO
This Understanding Quantum Information and Computation lesson focuses on more sophisticated quantum error correcting code constructions than the examples presented in previous lessons, including codes that can tolerate a relatively high error rate and that are viewed as promising candidates for practical quantum error correction. In particular, the lesson begins with a general class of quantum error correcting codes known as CSS codes, then moves on to an important quantum error correcting code known as the toric code, and concludes with a brief discussion surface codes and color codes.
0:00 – Introduction
1:22 – Overview
2:30 – Classical linear codes
9:31 – CSS codes
14:14 – Error detection and correction
17:47 – Code spaces of CSS codes
22:20 – Toric code
30:05 – Errors and syndromes
38:31 – Correcting errors
40:30 – Other code families
46:04 – Conclusion
Find the written content for this lesson on IBM Quantum Learning: https://learning.quantum.ibm.com/course/foundations-of-quantum-error-correction/quantum-code-constructions
