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