Correcting Quantum Errors | Understanding Quantum Information & Computation | Lesson 13

This is part of the Understanding Quantum Information & Computation series. Watch the full playlist here:    • Understanding Quantum Information & Comput...  

Building reliable large-scale quantum computers is a monumental challenge, due in large part to the fact that quantum information is extremely fragile. Fortunately, we have a key tool to help in this endeavor: quantum error correction. This lesson takes a first look at quantum error correction, including the first quantum error correcting code discovered — the 9-qubit Shor code — and the foundational concept in quantum error correction known as the discretization of errors.

0:00 – Introduction
2:27 – Overview
3:28 – The need for error correction
5:32 – Classical repetition codes
9:10 – Repetition code for qubits
14:02 – Phase-flip errors
15:13 – Correcting phase-flip errors
18:03 – 9-qubit Shor code
19:34 – Correcting bit-flip errors
21:31 – Errors and CNOTs
23:06 – Correcting phase-flip errors
26:05 – Correcting bit- and phase-flips
28:20 – Random errors
32:06 – Unitary errors
37:16 – Arbitrary errors
39:39 – Conclusion

Find the written content for this lesson on IBM Quantum Learning: https://learning.quantum.ibm.com/cour...

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