Heisenberg-Limited Ground State Energy Estimation for Early Fault-Tolerant Quantum Computers
Institute for Pure & Applied Mathematics (IPAM) via YouTube
Overview
Syllabus
Intro
Useful quantum advantage for quantum chemistry
Assumption: a good initial guess
Hardness with a good initial guess
Three goals of our work
A simplified circuit
Introducing additional randomness
Random evolution time
The cumulative distribution function
The CDF: the numerical result
Summary of the algorithm
Ground state energy estimation
Comparison with QPE
Fourier approximation
The control-free version
Observables and unbiased time evolution
Conclusions
Taught by
Institute for Pure & Applied Mathematics (IPAM)