Date: 15 MARCH 2022 from 14:45 to 15:45
Event location: Sala IR-2A piano 2 sede Irnerio teorici - In presence and online event
Some of the most promising applications of quantum technologies are based on implementing and measuring many-body states of correlated fermions. This includes in particular the variational quantum eigensolver (VQE) algorithm. This variational algorithm that allows finding the electronic ground state of a molecule, is becoming one of the most reliable tools to study quantum chemistry problems.
The VQE algorithm relies on two important steps: (i) the preparation of a fermionic candidate wavefunction to represent the ground state of the molecule, and (ii) the measurement of fermionic correlation functions.
In this seminar, I will show that the preparation of fermionic ground state wavefunctions can be realized on Fermi-Hubbard models that are implemented routinely in ultra-cold atomic experiments on a lattice. I will also present a toolbox to measure accurately and efficiently arbitrary fermionic correlation functions. This toolbox is based on the framework of randomized measurements and can be implemented using existing quantum gas microscopes or time-of-flight measurements. Combining these results, I provide a complete package to implement VQE in state-of-the-art ultracold atom experiments. In addition, our proposed fermionic measurement toolbox is general, and also applies to bosons. This provides, in particular, a tool to extract non-trivial correlations in the quantum simulation of fermionic and bosonic quantum models.