Fault-Tolerant Coding for Quantum Communication - Threshold Theorems and Error Rates

Fault-Tolerant Coding for Quantum Communication - Threshold Theorems and Error Rates

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The capacity theorem

7 of 19

7 of 19

The capacity theorem

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Fault-Tolerant Coding for Quantum Communication - Threshold Theorems and Error Rates

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

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