Simulating Chemistry on Realistic Quantum Computers

Explore the challenges and advancements in simulating chemistry on realistic quantum computers in this 37-minute talk by Ryan Babbush from Google. Delve into the molecular electronic structure problem, learn about basis sets with quadratically fewer terms, and understand how to prepare initial states with strong support. Discover post-Trotter methods for more precise and interesting results, and examine the quantum variational eigensolver as a NISQ heuristic. Gain insights into experimental data on small molecules, parameterization of variational ansatz, and the Electronic Structure Package for Quantum Computers. Uncover the potential of quantum computation in revolutionizing our understanding of chemistry and atomic interactions.

Intro
The world's made of atoms. Chemistry arises from interactions of the electrons.
The molecular electronic structure problem
The second quantized Galerkin discretization
Basis sets with quadratically fewer terms (1706.00023)
Molecular eigenstates from phase estimation (quant-ph/0604193)
Preparing initial states with strong support
Encoding electronic spectra in quantum circuits with Trotter
Post-Trotter methods: more precise, more interesting, and often faster
Igates: a good cost model for error-correction
Finite size T counts for chemistry
Quantum variational eigensolver, the NISQ heuristic (1304 3061)
Experimental data on small molecules
How to parameterize the variational ansatz?
The Electronic Structure Package for Quantum Computers