The Power of Random Quantum Circuits

The Power of Random Quantum Circuits

Simons Institute via YouTube Direct link

Worst-case hardness of computing noisy

16 of 20

16 of 20

Worst-case hardness of computing noisy

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Classroom Contents

The Power of Random Quantum Circuits

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  1. 1 Intro
  2. 2 Quantum advantage in the NISQ era
  3. 3 Quantum supremacy
  4. 4 Random Quantum Circuit Sampling (RCS)
  5. 5 Why are Random Circuits an attractive proposal?
  6. 6 Why is RCS hard classically?
  7. 7 Today's focus: hardness of computing output probabilities of noisy random circuits
  8. 8 Average case hardness for Permanent [Lipton '91]
  9. 9 (BFNV'18): Hardness for Random Quantum Circuits
  10. 10 Worst-to-Average Reduction - Attempt 1: Copy Lipton's proof
  11. 11 New approach to scramble gates of fixed circuit
  12. 12 Correlating via quantumness
  13. 13 Understanding the BFNV'19 construction
  14. 14 Is it hard to (nearly exactly) compute noisy random circuit probabilities? ongoing joint work
  15. 15 Noisy circuit output probability
  16. 16 Worst-case hardness of computing noisy
  17. 17 New easiness results
  18. 18 Numerical results for noisy 1D RCS [Noh, Jiang, F'20]
  19. 19 Plots from [Noh, Jiang, F'20] (1)
  20. 20 Conclusions

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