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1
Intro
2
GOAL OF ERROR CORRECTION
3
QEC: ORIGINS & GROWTH
4
BASICS OF ERROR CORRECTION: REPETITION CODE
5
MY FIRST QUANTUM CODE
6
ERROR SPACE STRUCTURE
7
GENERAL QEC CONDITIONS
8
FOUR-QUBIT CODE → CONCATENATED CODE
9
FOUR-QUBIT CODE → STABILIZER CODE
10
FOUR-QUBIT CODE → CSS CODE
11
FOUR-QUBIT CODE → SURFACE CODE
12
FOUR-QUBIT CODE → BINOMIAL CODE
13
GEOMETRIC PERSPECTIVE → BOSONIC CODES
14
USE CASES OF DIMENSIONS
15
BREAK EVEN & THRESHOLD THEOREM
16
HARDNESS OF DECODING
17
STABILIZER EXPERIMENTS
18
BOSONIC EXPERIMENTS
19
COMMERCIAL PROPOSALS
20
QLDPC EXPLOSION
21
OTHER NOTABLE CODES
22
OBSERVATIONS & OPPORTUNITIES
Description:
Dive into a comprehensive lecture on quantum error correction delivered by Victor Albert from NIST/Maryland at the Noisy Intermediate-Scale Quantum Systems conference. Explore the origins, growth, and basics of quantum error correction, starting with repetition codes and progressing to more complex structures like stabilizer codes, surface codes, and bosonic codes. Examine the geometric perspective of error correction, discuss break-even points and threshold theorems, and learn about the hardness of decoding. Gain insights into recent experimental implementations, commercial proposals, and the explosion of quantum low-density parity-check (QLDPC) codes. Conclude with observations on notable codes and emerging opportunities in the field of quantum error correction.

Overview of Quantum Error Correction - Victor Albert

Kavli Institute for Theoretical Physics
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