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Challenges of implementing coding schemes
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Classroom Contents
Fault-Tolerant Coding for Quantum Communication - Threshold Theorems and Error Rates
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- 1 Intro
- 2 What is a communication channel?
- 3 What is a coding scheme for classical communication T
- 4 Examples of coding schemes
- 5 Qualitative plot of rate-error pairs
- 6 Shannon's capacity theorem
- 7 The capacity theorem
- 8 Types of noise
- 9 Compound channel capacity
- 10 Quantum arbitrarily varying channel
- 11 Arbitrarily varying perturbation (AVP)
- 12 AVP coding scheme
- 13 What rates are possible in the AVP setting?
- 14 Challenges of implementing coding schemes
- 15 Coding schemes on quantum computers
- 16 Applying the threshold theorem to coding scheme
- 17 Separating data from noise in 7-qubit Steane code
- 18 Finding the effective channel
- 19 The threshold theorem for capacity
