This lesson explores advanced quantum error correcting code constructions that show promise for practical quantum error correction, going beyond basic examples from previous lessons. Dive into CSS codes, a general class of quantum error correcting codes, before examining the important toric code and concluding with an overview of surface codes and color codes. The content progresses through classical linear codes, CSS code fundamentals, error detection and correction mechanisms, code spaces, the toric code structure, error syndromes, correction techniques, and other code families. Written materials for this 47-minute quantum information lesson are available on IBM Quantum Learning platform.
Quantum Code Constructions: Understanding Quantum Information and Computation - Lesson 15
Overview
Syllabus
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
Taught by
Qiskit
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