Heisenberg-Limited Ground State Energy Estimation for Early Fault-Tolerant Quantum Computers

Heisenberg-Limited Ground State Energy Estimation for Early Fault-Tolerant Quantum Computers

Institute for Pure & Applied Mathematics (IPAM) via YouTube Direct link

Intro

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1 of 17

Intro

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Heisenberg-Limited Ground State Energy Estimation for Early Fault-Tolerant Quantum Computers

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  1. 1 Intro
  2. 2 Useful quantum advantage for quantum chemistry
  3. 3 Assumption: a good initial guess
  4. 4 Hardness with a good initial guess
  5. 5 Three goals of our work
  6. 6 A simplified circuit
  7. 7 Introducing additional randomness
  8. 8 Random evolution time
  9. 9 The cumulative distribution function
  10. 10 The CDF: the numerical result
  11. 11 Summary of the algorithm
  12. 12 Ground state energy estimation
  13. 13 Comparison with QPE
  14. 14 Fourier approximation
  15. 15 The control-free version
  16. 16 Observables and unbiased time evolution
  17. 17 Conclusions

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